7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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- Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj) 40

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Efreuftcs HcbuldbcrmsIH pmlc haeligtcbc bfrmtc

(utflfzdkbc csefldbcr m bfcbc vdrfedp)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 44

o Prfkeegravepfc bm iukefckdhmktc

C prfkeegravepfc bm iukefckdhmktc bc csefldbcr bm IH ech vdrfedp aelig bd smjufktm icrhd7 kctm qumqudkbc uh bfcbc aelig pcldrfzdbc rmvmrsdhmktm d pdrtfr bd tmksaringc rmvmrsd kmlm dplfedbd sud rmjfaringc bm bm-plmecircaringc duhmktd Kc vdrfedp d rmjfaringc bm bmplmecircaringc echpcrtd-sm echc sm icssm uh bfdlaeligtrfec qum smpdrd bcfs

mlmtrcbcs mktrm cs qudfs nauml uhd bfimrmkecircd bm pctmkefdl idzmkbc dssfh mxfstfr uhd edpdeftiumlkefd Pcrtdktcd ldrjurd bd odrrmfrd bm pctmkefdl frauml duhmktdr eckicrhm d tmksaringc rmvmrsd dplfedbd kc bfcbc mstdomlmemk-bc bmssd hdkmfrd uhd eurvd edrdetmregravestfed ckbm kc qudl c vdrfedp dprcvmftd tdl pcrecircaringc lfkmdr cotmkbcuhd iukecircaringc bm trdksimrccedilkefd tdhoaeligh lfkmdr kd hcbuldecircaringc (1047300jurd 4)

Cosmrvdkbc d 1047300jurd 44 smkbc kcssd fkicrhdecircaringc uh sfkdl bm dubfc mstd aelig dplfedbd kc csefldbcr

IH kc encqum ech c fkbutcr ^_I4 m bc edpdeftcr E4 D tmksaringc bc aumlubfc frauml surjfr kc vdrfedp B4 idzmkbc vdrfdr d tmksaringc fkvmrsd scorm mlm vdrfdkbc bd hmshd icrhd d edpdeftiumlkefd bc bfcbc ecksmqumktmhmktm vdrfdkbc d irmquccedilkefd kd hmshd prcpcrecircaringc (1047300jurd 45)

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd 45

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

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dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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49

Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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]KFYM_UFBDBM IMBM_DL BM HFKDU JM_DFU

ECLAEligJFC RAEligEKFEC

PMUT]FUD BM RMLMECH]KFEDEcircYacuteMU

Bdvfb Edstmllc Ordkec DssukecircaringcImrkdkbd Dkbrdbm

Pmsqufsd qum vfsd docrbdr edrdetmregravestfeds bcs

sfstmhds IH omh echc smus efreuftcs bm hcbu-

ldecircaringc m smu rmemptcr

Prcimsscr7 Dbrfdkc O bd Euknd

Omlc Ncrfzcktm

04=

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5

U]HAuml_FC

$amp$() +)-)0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 44 - IH7 - Haeligtcbc bfrmtc (utflfzdkbc csefldbcr m bfcbc vdrfedp) 2 - Haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

- Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj) 40

5amp2() =+0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004

4 9$-$)gt67000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001lt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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2

Efreuftcs HcbuldbcrmsIH pmlc haeligtcbc bfrmtc

(utflfzdkbc csefldbcr m bfcbc vdrfedp)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 44

o Prfkeegravepfc bm iukefckdhmktc

C prfkeegravepfc bm iukefckdhmktc bc csefldbcr bm IH ech vdrfedp aelig bd smjufktm icrhd7 kctm qumqudkbc uh bfcbc aelig pcldrfzdbc rmvmrsdhmktm d pdrtfr bd tmksaringc rmvmrsd kmlm dplfedbd sud rmjfaringc bm bm-plmecircaringc duhmktd Kc vdrfedp d rmjfaringc bm bmplmecircaringc echpcrtd-sm echc sm icssm uh bfdlaeligtrfec qum smpdrd bcfs

mlmtrcbcs mktrm cs qudfs nauml uhd bfimrmkecircd bm pctmkefdl idzmkbc dssfh mxfstfr uhd edpdeftiumlkefd Pcrtdktcd ldrjurd bd odrrmfrd bm pctmkefdl frauml duhmktdr eckicrhm d tmksaringc rmvmrsd dplfedbd kc bfcbc mstdomlmemk-bc bmssd hdkmfrd uhd eurvd edrdetmregravestfed ckbm kc qudl c vdrfedp dprcvmftd tdl pcrecircaringc lfkmdr cotmkbcuhd iukecircaringc bm trdksimrccedilkefd tdhoaeligh lfkmdr kd hcbuldecircaringc (1047300jurd 4)

Cosmrvdkbc d 1047300jurd 44 smkbc kcssd fkicrhdecircaringc uh sfkdl bm dubfc mstd aelig dplfedbd kc csefldbcr

IH kc encqum ech c fkbutcr ^_I4 m bc edpdeftcr E4 D tmksaringc bc aumlubfc frauml surjfr kc vdrfedp B4 idzmkbc vdrfdr d tmksaringc fkvmrsd scorm mlm vdrfdkbc bd hmshd icrhd d edpdeftiumlkefd bc bfcbc ecksmqumktmhmktm vdrfdkbc d irmquccedilkefd kd hmshd prcpcrecircaringc (1047300jurd 45)

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd 45

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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gt

dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1520

4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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49

Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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5

U]HAuml_FC

$amp$() +)-)0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 44 - IH7 - Haeligtcbc bfrmtc (utflfzdkbc csefldbcr m bfcbc vdrfedp) 2 - Haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

- Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj) 40

5amp2() =+0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004

4 9$-$)gt67000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001lt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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2

Efreuftcs HcbuldbcrmsIH pmlc haeligtcbc bfrmtc

(utflfzdkbc csefldbcr m bfcbc vdrfedp)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 44

o Prfkeegravepfc bm iukefckdhmktc

C prfkeegravepfc bm iukefckdhmktc bc csefldbcr bm IH ech vdrfedp aelig bd smjufktm icrhd7 kctm qumqudkbc uh bfcbc aelig pcldrfzdbc rmvmrsdhmktm d pdrtfr bd tmksaringc rmvmrsd kmlm dplfedbd sud rmjfaringc bm bm-plmecircaringc duhmktd Kc vdrfedp d rmjfaringc bm bmplmecircaringc echpcrtd-sm echc sm icssm uh bfdlaeligtrfec qum smpdrd bcfs

mlmtrcbcs mktrm cs qudfs nauml uhd bfimrmkecircd bm pctmkefdl idzmkbc dssfh mxfstfr uhd edpdeftiumlkefd Pcrtdktcd ldrjurd bd odrrmfrd bm pctmkefdl frauml duhmktdr eckicrhm d tmksaringc rmvmrsd dplfedbd kc bfcbc mstdomlmemk-bc bmssd hdkmfrd uhd eurvd edrdetmregravestfed ckbm kc qudl c vdrfedp dprcvmftd tdl pcrecircaringc lfkmdr cotmkbcuhd iukecircaringc bm trdksimrccedilkefd tdhoaeligh lfkmdr kd hcbuldecircaringc (1047300jurd 4)

Cosmrvdkbc d 1047300jurd 44 smkbc kcssd fkicrhdecircaringc uh sfkdl bm dubfc mstd aelig dplfedbd kc csefldbcr

IH kc encqum ech c fkbutcr ^_I4 m bc edpdeftcr E4 D tmksaringc bc aumlubfc frauml surjfr kc vdrfedp B4 idzmkbc vdrfdr d tmksaringc fkvmrsd scorm mlm vdrfdkbc bd hmshd icrhd d edpdeftiumlkefd bc bfcbc ecksmqumktmhmktm vdrfdkbc d irmquccedilkefd kd hmshd prcpcrecircaringc (1047300jurd 45)

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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=

Ifjurd 45

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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gt

dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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49

Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1920

46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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2

Efreuftcs HcbuldbcrmsIH pmlc haeligtcbc bfrmtc

(utflfzdkbc csefldbcr m bfcbc vdrfedp)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 44

o Prfkeegravepfc bm iukefckdhmktc

C prfkeegravepfc bm iukefckdhmktc bc csefldbcr bm IH ech vdrfedp aelig bd smjufktm icrhd7 kctm qumqudkbc uh bfcbc aelig pcldrfzdbc rmvmrsdhmktm d pdrtfr bd tmksaringc rmvmrsd kmlm dplfedbd sud rmjfaringc bm bm-plmecircaringc duhmktd Kc vdrfedp d rmjfaringc bm bmplmecircaringc echpcrtd-sm echc sm icssm uh bfdlaeligtrfec qum smpdrd bcfs

mlmtrcbcs mktrm cs qudfs nauml uhd bfimrmkecircd bm pctmkefdl idzmkbc dssfh mxfstfr uhd edpdeftiumlkefd Pcrtdktcd ldrjurd bd odrrmfrd bm pctmkefdl frauml duhmktdr eckicrhm d tmksaringc rmvmrsd dplfedbd kc bfcbc mstdomlmemk-bc bmssd hdkmfrd uhd eurvd edrdetmregravestfed ckbm kc qudl c vdrfedp dprcvmftd tdl pcrecircaringc lfkmdr cotmkbcuhd iukecircaringc bm trdksimrccedilkefd tdhoaeligh lfkmdr kd hcbuldecircaringc (1047300jurd 4)

Cosmrvdkbc d 1047300jurd 44 smkbc kcssd fkicrhdecircaringc uh sfkdl bm dubfc mstd aelig dplfedbd kc csefldbcr

IH kc encqum ech c fkbutcr ^_I4 m bc edpdeftcr E4 D tmksaringc bc aumlubfc frauml surjfr kc vdrfedp B4 idzmkbc vdrfdr d tmksaringc fkvmrsd scorm mlm vdrfdkbc bd hmshd icrhd d edpdeftiumlkefd bc bfcbc ecksmqumktmhmktm vdrfdkbc d irmquccedilkefd kd hmshd prcpcrecircaringc (1047300jurd 45)

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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=

Ifjurd 45

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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gt

dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd 45

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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9

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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gt

dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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6

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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IH pmlc haeligtcbc bfjftdl (utflfzdkbc hultfvfordbcr dstaumlvml)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)

Ifjurd 42

C prfkeegravepfc bm iukefckdhmktc bc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl aelig bd smjufktm icrhd7c hultfvfordbcr dstaumlvml d trdksfstcr aelig odsfedhmktm uh efreuftc qum pcssuegrave bcfs mstdbcs hds kmknuh bmlmsaelig mstaumlvml cu smgd aelig uh csefldbcr ckbm c tmhpc jdstc mh edbd mstdbc aelig ecktrcldbc pmld irmquccedilkefd bm

edrjd cu bmsedrjd bm uh edpdeftcr d pdrtfr bm uh rmsfstcr Bm decrbc ech d 1047300jurd 4= supckbc qum E4mstmgd fkfefdlhmktm edrrmjdbc mstm frauml bmsedrrmjdr kd odsm bm kcssc trdksfstcr R_- bmfxdkbc c hmshcmh eckbfecircaringc bm sdturdecircaringc mkqudktc R_-4 mstdrauml mh ecrtm m E bmsedrrmjdbc D pdrtfr bc hchmktc mhqum E4 bmsedrrmjd tctdlhmktm kd odsm bm R_- E gauml mstauml tctdlhmktm edrrmjdbc bmsedrrmjdkbc-sm kd odsmbm R_-4 suembmkbc-sm tdl prcemssc Pcbmhcs mktmkbmr c prcemssc bm edrjd bcs edpdeftcrms pcr hmfc bmjmrdbcrms bm ecrrmktm eckstdktm Fstc pcbm smr dkdlfsdbc ech hdfs bmtdlnms kd paumljfkd 6 kd icrhuldecircaringchdtmhaumltfed bc iukefckdhmktc bc efreuftc

o Prfkeegravepfc bm iukefckdhmktc

Ifjurd 4=

Dkdlfsdkbc c efreuftc bd 1047300jurd 42 kctm qum c hultfvfordbcr dstaumlvml mh R4 m R dc smrdlfhmktdbc bmvmrauml jmrdr uhd irmquccedilkefd eckstdktm m omh bmtmrhfkdbd Kcssc sfkdl hcbuldktm smrauml decp-ldbc dc hultfvfordbcr dstaumlvml pmlc bfvfscr bm tmksaringc _4 _ m P4 D sdegravebd bc hultfvfordbcr aelig decpldbd

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dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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gt

dc 1047300ltrc LE prcbuzfbc pcr L4 m E2 pcr hmfc bm uh smjufbcr bm mhfsscr qum tmh echc cogmtfvc mvftdr cedrrmjdhmktc bc eclmtcr bm R Bmssd icrhd tmrmhcs uhd ckbd qudbrdbd cu smgd hcbuldbd mh irmquccedilk-efd Pmksdkbc-sm kd cotmkecircaringc bc sfkdl IH dkdlotildejfec utflfzd-sm c 1047300ltrc LE prmvfdhmktm sfktckfzdbc kdirmquccedilkefd bd pcrtdbcrd m ech uhd ldrjurd bm odkbd su1047300efmktmhmktm jrdkbm pdrd ecksmjufr smlmefckdr dsodkbds ldtmrdfs bmsmgdbds

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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40

Haeligtcbc fkbfrmtc (Ufstmhd Drhstrckj)

d Bfdjrdhd msqumhaumltfec (efreuftc tegravepfec)Ifjurd 49

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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49

Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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44

o Prfkeegravepfc bm iukefckdhmktc

Dkdlfsdkbc-sm c efreuftc bc sfstmhd bm Drhstrckj (1047300jurd 49) kd paumljfkd dktmrfcr cosmrvdhcsfkfefdlhmktm c sfkdl hcbuldktm mh(t) pmkmtrdkbc kc efreuftc fktmjrdbcr qum dlaeligh bm fktmjrdr kcssdfkicrhdecircaringc idz ech qum d sdegravebd bc hmshc karingc 1047300qum hcbuldbd mh idsm (PH) Mstm sfkdl aelig fksmrfbc mhuh hcbuldbcr odldkemdbc qum rmemom dc hmshc tmhpc c sfkdl prcvmkfmktm bc csefldbcr d erfstdl qumpcr sud vmz tmh sud sdegravebd eckmetdbd mh uh 1047300ltrc pdssd-idfxds Rdktc d sdegravebd bc 1047300ltrc qudktc bc hcbu-

ldbcr odldkemdbc saringc pcstds mh uh efreuftc schdbcr Cotaeligh-sm mktaringc c sfkdl hcbuldbc mh IHIM qum aeligfktrcbuzfbc mh uh PLL dtudkbc echc efreuftc hultfplfedbcr qum icf rmprmsmktdbc ech uh enfp EHCUNMI2029O Kd sdegravebd bmstm tmrmhcs c sfkdl hcbuldbc mh IHIL

C prfkeegravepfc bm iukefckdhmktc bc haeligtcbc fkbfrmtc bm Drhstrckj sm ecksfstm mh jmrdr uh sfkdlIH bm idfxd mstrmftd m bmpcfs duhmktdr d sud irmquccedilkefd m c smu bmsvfc mh irmquccedilkefd Cu smgd cotmhcsuh sfkdl IHIL d pdrtfr bm uh IHIM hmbfdktm d hultfplfedecircaringc bm irmquccedilkefd Bmstd icrhd c mimftc bdeckvmrsaringc bc sfkdl bm IH vdrfd d irmqumkefd emktrdl m c mimftc bd hultfplfedecircaringc bm irmquccedilkefd dhplfd dirmquccedilkefd emktrdl m fjudlhmktm c bmsvfc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

b) Icrhuldecircaringc hdtmhaumltfed (imftd agrave haringc) bc iukefckdhmktc bc efreuftc7

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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45

Echpdrm ds scluecircyacutems bm hcbuldbcrms IH

Mh rmldecircaringc dcs sfstmhds bm hcbuldecircaringc IH vfhcs qum mxfstmh odsfedhmktm bcfs haeligtcbcs bm smcotmr uh sfkdl hcbuldbc mh irmquccedilkefd ]h bmlms dtud bfrmtdhmktm scorm d irmquccedilkefd bm rmssckiumlkefd bmuh efreuftc csefldbcr m c cutrc haeligtcbc fkbfrmtc aelig gustdhmktm c Ufstmhd Drhstrckj qum cotmh c sfkdl IHbm Idfxd Mstrmftd m pcstmrfcrhmktm rmdlfzd-sm uhd hultfplfedecircaringc bd irmquccedilkefd m nmtmrcbfkdecircaringc pdrd qum

smgd eckvmrtfbc mh IH Idfxd LdrjdCs hcbuldbcrms pmlc haeligtcbc bfrmtc tmh sud bmsvdktdjmh mh smrmh odsmdbcs mh uh csefldbcrkaringc mstaumlvml c odstdktm pdrd prcpcsfecircaringc bm rdbfciusaringc Umkbc dssfh mlms edrmemh bm mstdoflfbdbm pcr hmfcbm uh hcbuldbcr bm rmdtiumlkefd bmfxdkbc c sfstmhd hdfs echplmxc

Mh rmldecircaringc dc efreuftc hcbuldbcr IH pmlc haeligtcbc bfjftdl utflfzdkbc hultfvfordbcr dstaumlvml dbmsvdktdjmh mstauml kd sud smksfoflfbdbm d tmhpmrdturd Udomhcs qum cs trdksfstcrms utflfzdbcs tmh sudsecrrmktms bm iujd vdrfdkbc ech d tmhpmrdturd c qum tcrkd mstm hcbuldbcr bm emrtd icrhd dlvc bc ruegravebctaeligrhfec

]h bcs prcolmhds bc haeligtcbc bm Drhstrckj aelig qum c bmsvfc bm irmquccedilkefd bmvm smr hdktfbc odfxcpdrd hfkfhfzdr d bfstcrecircaringc C bmsvfc haumlxfhc aelig uhd irdecircaringc bm 4aNz hds d trdkshfssaringc IH rmqumr =aNzbm bmsvfc m uh bmsvfc tegravepfec bm uh edkdl bm vcz mh IH aelig bm =aNz Pdrd rmsclvmr mstm prcolmhd rmdlfzd-sm

vdrfds hultfplfedecircyacutems bc sfkdl pdrd uhd irmquccedilkefd hdfs mlmvdbd dssfh cotmkbc c bmsvfc kmemssaumlrfc Pcrmxmhplc pdrd jmrdr uh sfkdl bm IH ech bmsvfc bm = aNz d 4296HNz c trdkshfsscr jmrdrfd uh sfkdl d94=HNz ech bmsvfc bm dpmkds 0aNz m hultfplfedrfd c sfkdl 2 vmzms

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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42

_memptcr IH

d Bfdjrdhd bm olcecs

Ifjurd 4

o Prfkeegravepfc bm iukefckdhmktc bm edbd mtdpd m efreuftc utflfzdbc mh edbd uhd bds mtdpds

Odsfedhmktm pcbm-sm tmr mh uh rmemptcr tfpcs bm dktmkd7 d tmlmseotildepfed m d dktmkd mxtmrkd Dprfhmfrd aelig utflfzdbd irmqumktmhmktm mh rmemptcrms pcrtaumltmfs m d smjukbd usudlhmktm mhprmjdbd mh rmemp-tcrms rmsfbmkefdfs hdfs rcoustcs

Um trdtdkbc bd dktmkd tmlmseotildepfed mstd pcssuf uhd fhpmbiumlkefd bm dprcxfhdbdhmktm =Φ m sudeckmxaringc aelig rmdlfzdbd bm icrhd bfrmtd ech c dhplf1047300edbcr bm _I Dodfxc kd 1047300jurd 4gt vmhcs c efreuftc bmdecpldhmktc bd dktmkd dc dhplf1047300edbcr bm _I

Ifjurd 4gt

Gauml mh rmldecircaringc d dktmkd mxtmrkd mxfstmh buds pcssfoflfbdbm pdrd rmdlfzdr tdl eckmxaringc ]hd utflfzdk-

bc uh edoc bmsodldkemdbc bm =Φ

ecdxfdl m cutrd d pdrtfr bm uh edoc odldkemdbc pdrdlmlc bm 500Φ

Jrdkbm pdrtm bcs rmemptcrms pcssumh d mktrdbd bm 500Φ hds aelig decksmlndvml qum mxfstd d cpecircaringc bmsm tmr ds buds dltmrkdtfvds vfstc qum bmpmkbmkbc sm d fkstdldecircaringc bd dktmkd icr rmdlfzdbd mh uh lcedl ckbmmxfstm d endkem bm sm tmr edptdecircaringc bm ruegravebc rmechmkbd-sm c usc bm uh edoc olfkbdbc ecdxfdl

Dodfxc kd fhdjmh 46 aelig pcssegravevml vmrf1047300edr c efreuftc d smr utflfzdbc qudkbc sm idz usc bc edocodldkemdbc bm 500Φ

Ifjurd 46

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1720

4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1520

4=

Cosmrvm qum kc efreuftc bd paumljfkd dktmrfcr qum icf utflfzdbc uh trdksicrhdbcr ech bmrfvdecircaringcemktrdl kd mktrdbd ech cogmtfvc bm rmicrecircdr c sfkdl

Mh rmemptcrms qum pmrhftmh d eckmxaringc tdktc bc edoc pdrdlmlc qudktc bc ecdxfdl aelig kmemssaumlrfc qumsm djrmjum d mktrdbd bmlms ech =Φ bmsodldkemdbcs

C efreuftc qum rmdlfzd tdl iukecircaringc aelig c ODL]K (1047300jurd 0) odsmdbc mh bcfs fkbutcrms lfjdbcs pdrdlm-ldhmktm qum dsscefd uhd lfknd odldkemdbd ech uhd bmsodldkemdbd pcr hmfc bm uhd echofkdecircaringc mktrmtrdksicrhdbcrms m mkrcldhmktcs of1047300ldrms Cu smgd trdksicrhd-sm edoc ecdxfdl mh pdrdlmlc m vfem-vmrsd

Ifjurd 0

Gauml sdomhcs qum c mlmhmktc dhplf1047300edbcr bmvmrauml hdktmr uhd odfxd fhpmbiumlkefd bm mktrdbd pdrd qumsud cpmrdecircaringc sm hdktmknd mstaumlvml kd idfxd bm rmempecircaringc D dividekfed qumstaringc qum vdrfd aelig c tfpc bm efreuftc bmmktrdbd bm dktmkd m d rmldecircaringc sfkdlruegravebc bmsmgdbd kc Dhplf1047300edbcr bm _I Mh rmldecircaringc d dktmkd tmlmseotildepfed c decpldhmktc kc Dhplf1047300edbcr bm _I aelig rmdlfzdbc bfrmtdhmktmpmlc efreuftc bm mktrdbd bd dktmkd

Gauml sm d dktmkd icr eckmetdbd dc edoc odldkemdbc pdrdlmlc bm 500Φ aelig kmemssaumlrfc sfktckfzdr c sm-eukbaumlrfc bc trdksicrhdbcr bm mktrdbd pdrd dssfh rmstrfkjfr d odkbd bc Dhplf1047300edbcr kd idfxd bm gtgtHNzd 40gtHNz Pdrd rmemptcrms qum idzmh usc bc ODL]K kc efreuftc bm mktrdbd bm dktmkd dsscefd-sm mstm d pdrtfrbm uhd sfhplms bmrfvdecircaringc kuh fkbutcr dc 1047300ltrc bm mktrdbd bm _I Cu smgd smu iukefckdhmktc aelig echc uhdutc-trdksicrhdbcr

Rrdtdkbc-sm bc mlmhmktc dhplf1047300edbcr bc sfkdl bm _I tmhcs buds pcssfoflfbdbms echuhmktmdbctdbds7 uh trdksfstcr iukefckdkbc kd hcktdjmh odsm echuh pcr ecktd bm sud odfxd fhpmbiumlkefd bmmktrdbd cu uh IMR kd hcktdjmh icktm echuh echc uh mlmhmktc mh pdrdlmlc ech d mktrdbd rmbuz-fkbc tdhoaeligh d fhpmbiumlkefd C efreuftc tegravepfec bc prfhmfrc aelig hcstrdbc kd 1047300jurd 4 m bc smjukbc kd 1047300jurd

Ifjurd 4

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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49

Ifjurd

Kctm mh dhocs cs efreuftcs d prmvfsaringc bm rmtcrkc bm sfkdl pdrd uh Ecktrclm Dutchaumltfec bm

Jdknc bc Dhplf1047300

edbcr bm _I m bd mtdpd bm Ufktckfd bm _I aelig rmdlfzdbd pmlc edpdeftcr vdrfaumlvml EY

qum aeligdecpldbc bm icrhd hmeiumlkfed dc cutrc edpdeftcr vdrfaumlvml rmimrmktm dc csefldbcr lcedlMxfstm uhd cpecircaringc bm suostufecircaringc bc edpdeftcr vdrfaumlvml ckbm sm mvftd c usc bm decpldhmktcs

hmeiumlkfecs kuhd scluecircaringc hdfs rcoustd m m1047300efccedilktm qum aelig c usc bm vdrfedps crfmktdbcs pcr uhd dividekfed tmksaringcbm rmimrccedilkefd pdrd sfktckfd

C csefldbcr lcedl pcbm smr bc tfpc fkbmpmkbmktm pdrd uhd hmlncr qudlfbdbm cu mh rmemptcrmshdfs pcpuldrms m bm eustc odfxc pcbm-sm rmemomr d fkicrhdecircaringc d pdrtfr uhd ocofkd csefldbcrd decpldbddc smu eclmtcr qum c rmdlfhmktd pmlc mhfsscr

Dodfxc kd 1047300jurd 5 mstauml rmprmsmktdbc c csefldbcr bm Ndrtlmy qum dtud ech csefldbcr lcedl fk-bmpmkbmktm kuh rmemptcr bm IH D irmquccedilkefd bm csefldecircaringc bmvm smr bm 40 HNz smkbc hdfcr qum dirmquccedilkefd sfktckfzdbd pmlc olcec bm _I Mxfstm uhd mktrdbd pdrd c Ecktrclm Dutchaumltfec bm Irmquccedilkefd(EDI) pdrd qum smgd mstdoflfzdbd d irmquccedilkefd bm csefldecircaringc mvftdkbc dssfh qum mld vdrfm mh iukecircaringc bdtmhpmrdturd bcs echpckmktms

Ifjurd 5

C hfsturdbcr aelig odsfedhmktm uh trdksfstcr qum rmemom kd odsm c sfkdl bd mtdpd bm _I m kc mhfsscr

c sfkdl bc csefldbcr lcedl Udomhcs qum d irmquccedilkefd bc Csefldbcr lcedl aelig 40HNz hdfcr qum d irmquccedilk-efd bd _I dssfh mstm trdksfstcr dedod tmkbc mh smu eclmtcr d irmquccedilkefd gustdhmktm mh 40HNz qum aelig dbfimrmkecircd mktrm ds irmquccedilkefds rmemofbds m ecfkefbm bm icrhd prcpcsftdl ech c vdlcr bd irmquccedilkefd fktmr-hmbfaumlrfd (IF)

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1920

46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4

Dodfxc kd 1047300jurd 2 pcbmhcs vmrf1047300edr c efreuftc bc hfsturdbcr Cosmrvm qum d irmquccedilkefd bmrmssckiumlkefd bm Lgt E4 m L6 E45 aelig bm 40HNz ech uhd odkbd pdssdktm mh vcltd bm 4=0aNz qum pcrsfkdl aelig c bcorc bc haumlxfhc bmsvfc bm irmquccedilkefd pdrd c sfkdl IH Mstm efreuftc sfktckfzdbc ech c dech-pldhmktc bc hfsturdbcr agrave mtdpd bm IF rmdlfzd c pdpml bm prfhmfrc 1047300ltrc bc dhplf1047300edbcr bm irmquccedilkefdfktmrhmbfaumlrfd

Ifjurd 2

D mtdpd IF aelig d prfkefpdl rmspcksaumlvml pmld smlmtfvfbdbm m pmlc jdknc bc rmemptcr D tmksaringc dprcxf-hdbd bc sfkdl qum aelig rmemofbc pmld dktmkd aelig bm 40frac12Y_HU d mtdpd bm _I dhplf1047300ed c sfkdl pdrd qum mlm 1047300qumech =0frac12Y m c hfsturdbcr pcr sud vmz idz ech qum enmjum dtaelig 4=0frac12Y Udfkbc bc dhplf1047300edbcr bm irmquccedilk-efd fktmrhmbfaumlrfd sud dhplftubm dledkecircd dprcxfhdbdhmktm bm 40hY tmkbc dssfh d mtdpd bm IF uh jdknchdfcr qum 50bO

Ifjurd =

Defhd kd 1047300jurd = pcbmhcs cosmrvdr c efreuftc bc dhplf1047300edbcr bm IF Ymgd qum R= cpmrdprdtfedhmktm mh endvmdhmktc ech c sfkdl qum vmh bc 1047300ltrc hmeiumlkfec tcrkdkbc-c bm emrtd icrhd huftcsfhfldr ech uh lfhftdbcr ]hd pmqumkd hcbf1047300edecircaringc kc mstaumljfc 1047300kdl bd mtdpd bm IF dltmrdkbc-sm d pcldr-fzdecircaringc bm R9 pcbm idzmr c pdpml bm lfhftdbcr pcfs sm trdodlndrhcs dpmkds mh ecrtm m sdturdecircaringc smgd qudlicr d vdrfdecircaringc bm dhplftubm mstd smrauml vfrtudlhmktm mlfhfkdbd Kctm tdhoaeligh qum d echpckmktm iukbdhmk-tdl bd ckbd endvmdbd pcr R9 aelig rmeupmrdbd pcfs mxfstm uh 1047300ltrc LE icrhdbc pcr L40 m E4gt qum rmsultd mhuhd kcvd ckbd smkcfbdl pcstmrfcrhmktm dplfedbd dc bmtmtcr

Tudkbc karingc saringc utflfzdbcs efreuftcs fktmjrdbcs pdrd d bmhcbuldecircaringc bc sfkdl IH usd-sm cs bmtmt-crms bm rmldecircaringc Dkdlfsdkbc-sm d 1047300jurd 9 pcbmhcs cosmrvdr smu efreuftc tegravepfec ckbm d dividekfed dltmrdecircaringc

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1920

46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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4gt

eckemftudl aelig kc surjfhmktc bc edpdeftcr E2 qum dedod pcr bmsdecpldr c mkrcldhmktc tmrefaumlrfc L44 Mstmedpdeftcr tmh sud rmdtiumlkefd pdrd c sfkdl bm _I prdtfedhmktm bmsprmzegravevml mktrmtdktc pdrd c sfkdl bm aumlubfcmld aelig dltd bmssd icrhd d sdegravebd bc bmhcbuldbcr tmrauml d fkicrhdecircaringc BE rmldtfvd dc bmsvfc bm irmquccedilkefd bccsefldbcr lcedl qum pcstmrfcrhmktm smrauml usdbd kc efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI)

Ifjurd 9

C Efreuftc bm Bmccedilkidsm (rmprmsmktdbc dodfxc kd 1047300jurd ) aelig uh efreuftc _E cpmrdkbc echc uh1047300ltrc pdssd―odfxds ech d irmquccedilkefd bm ecrtm bm 4 Nz cu bm 54gt5 Nz Dljuks rmemptcrms hdfs rcoustcsm sc1047300stfedbcs pcssumh d cpecircaringc bm mseclnd bd eckstdktm bm tmhpc bc efreuftc mh qumstaringc

Ifjurd

C efreuftc bm Ecktrclm Dutchaumltfec bm Irmquccedilkefd (EDI) (qum pcbm smr vfstc dodfxc kd 1047300jurdgt) utflfzd c kegravevml BE bc sfkdl bmhcbuldbc pdrd dgustdr d irmquccedilkefd bm rmssckiumlkefd bc csefldbcr lcedl m

hdktmr d rmldecircaringc7 i CL - i _I 8 IFCu smgd mlm aelig sfhplmshmktm uh 1047300ltrc pdssd―odfxds 1047300ltrdkbc d tmksaringc BE Um d bfimrmkecircd bdirmquccedilkefd bc csefldbcr lcedl m bd _I icr bm 40 HNz c vdlcr haeligbfc bmtmetdbc hdktccedilh eckstdktm dirmquccedilkefd bm csefldecircaringc Um d bfimrmkecircd icr hdfcr c vdlcr haeligbfc tmkbm d duhmktdr cecrrmkbc c hmshcech d bfhfkufecircaringc bd bfimrmkecircd

Ifjurd gt

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 1920

46

Cosmrvdkbc d 1047300jurd 6 aelig pcssegravevml kctdr qum c edpdeftcr E6 aelig pcstc kd mktrdbd bc sfkdl bm aumlubfcpdrd c eurscr bm P qum aelig c pctmkefogravehmtrc bm vcluhm Echc E6 dprmsmktd uhd odfxd rmdtiumlkefd pdrdsfkdfs bm irmquccedilkefd dltd mlm dedod pcr rmicrecircdr cs djubcs

Gauml c cutrc efreuftc _E icrhdbc pcr Egt m P4 fktftuldbc bm ecktrclm bm tckdlfbdbm aelig odsfedhmktm

uh dtmkudbcr bm dltds irmquccedilkefds qum idz ech qum sm pdrmecircd qum ds odfxds irmquccedilkefds icrdh rmicrecircdbdsP4 rmjuld d eckstdktm bm tmhpc m ecksmquccedilktmhmktm d irmquccedilkefd bm ecrtm bc 1047300ltrc pdssd-odfxds idzmkbcech smgd pmrhftfbc d pdssdjmh bm uh sfkdl bm aumlubfc ech hdfcr cu hmkcr ecktmdividebc bm djubcs

Ifjurd 6

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

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0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000

7232019 Modulaccedilatildeo e Demodulaccedilatildeo FM

httpslidepdfcomreaderfullmodulacao-e-demodulacao-fm 2020

0

Ofolfcjrdiegraved

OD__DBDU Cvegravebfc H Rmlmechukfedecircyacutems ― Ufstmhds Dkdlotildejfec-Bfjftdfs _fc bm Gdkmfrc LRE 46gt0

JCHMU Dlefbms Rdbmu Rmlmechukfedecircyacutems ― Rrdkshfssaringc m _mempecircaringc Uaringc Pdulc AEligrfed 466=

KDUEFHMKRC Gudrmz bc Rmlmechukfedecircyacutems Uaringc Pdulc Pmdrsck Mbuedtfck 000