Nexys4 PDM RefProj2 V2

7/25/2019 Nexys4 PDM RefProj2 V2

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1300 H C

P, A 99163

509.334.6306

..

Nexys4 PDM Filter Project

Revised February 3, 2014

This manual applies to the Nexys4 rev. B

DOC#: 560-010C D, I. A .

O . P

Introduction

T (PDM) R. 2

N4 ADMP421 MEMS R. 1. T

A7 FPGA (CIC) R. 9

(FIR) R. 20, 16 96 H .

T ISE 14.6 HDL.

1 Functional Description and Implementation Details

I R. 3 R. 4,

, FIR ,

FIR , , F 1.

F 1. PDM

T PDM

6.144 MH , 3.072 MH . T L/R

, C.

F 1. .

IBUFG

100 MHz

MMCM 2

BUFR

6.144MHz

BUFG

CIC16

HB2

LP HP

3.072MHz

CLK

DATA

L/R

22 22 16 16

MEMSMic.

ARTIX-7 FPGAEXTERNAL

fs=3.072 MHz

fs=192 kHz

fs=96 kHz

fs=96 kHz

CLK


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1.1 The CIC Stage

T PDM . I LCORE CIC C R. 11 R.

12 R. 13. T 1 :

T 1. .

T CIC 3.072 MH, 16. T

192 H.

1.2 The Half-Band Filter

FIR O 14

F(S ) 192 H

F(C ) 21.8 HA(S ) 80 B

C 1 15

T R. 16 R. 17

LCORE FIR C R. 21 R. 22. T MATLAB,

(.. S, O, .) .

115-bit wide coefficients were chosen to spread across the full 80 dBs of magnitude band.

F T D

N S 5

C 3.5

R. 10,

R. 1 .

D D 1N R.

13.

N C 1

S R C 16 T .

H O F FS

T .

I S F 3.072 MH T PDM .

C F 3.072 MH

I D 2

T

PDM ( LSB 1

1 PDM ).

QF

P

O 22

.

DSP S DSP .

T 2. .


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6.3 R. 21. T MATLAB

T 2, (F 2):

H , FIR C (T 3):

T 3. .

0 10 20 30 40 50 60 70 80 90

-80

-60

-40

-20

0

Frequency (kHz)

Magnitude(dB)

Magnitude Response (dB)

Astop =

80 dB

Fpass =

21.8 kHz

F T D D F T .

R C T I D

D R 2A 2

96 H.

H O F F

S

T

.I S F

0.192 MHT (192

H).

C F 3.072 MH

QI

C

T

FIR C

.

C 15

C S HT

R. 22.

I D T S T CIC .

I D 22

O R MT

LSB

E 34 :

R. 22

; ,

.

O 22 O 22 .

F 2. .


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1.3 The Low-Pass Filter

T LCORE FIR C R. 21R. 22

T 4 ( F 3):

FIR O 161

F(S ) 96 H

F( ) 13 H

F ( ) 15 H

( ) 1 B

( ) 100 B

C 2 20

I FIR C, T 5:

220-bit wide coefficients were chosen to spread across the full 100 dBs of magnitude band.

0 5 10 15 20 25 30 35 40 45

-100

-90

-80

-70

-60

-50

-40

-30

-20

-10

0

Frequency (kHz)

Magnitude(dB)

Magnitude Response (dB)

Wstop =

100 dBFpass =

13 kHz

Fstop =

15 kHz

Wpass =

1 dB

F 3. .

T 4. .


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F T S S 1,

.

H O

F

F

S

T

.

I S F 0.096 MH T (96 H).

C F 3.072 MH

C T S S .

C 20

C S S S C 3 7.0 R. 22.

I D T S T CIC .

I D 22

O R M T LSB

E 34 7.0

R. 22

; ,

.

O 22 O 22 .T 5. .

1.3 The High-Pass Filter

T , DC

( ). I R. 24,

, R. 23 :

R. 25.

A (16 17), (17)

1 ( R. 24). 212

(

1) 18.6 H 10 B/ .

F 4 .

z-1x[n]

y[n]

29

29

17

17

16

signextend

17-

+

16

2-12

+

+

[28:12]

F 4. .


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2 Area and Performance

T , PDM F 5. F 6

3 .

F 5. .

F 6. .

3In order to convert the acquired frequency response data to discrete-time filter numerator and denominator z

polynomials (its transfer function), a Gauss-Newton iterative search of linear equations was used (function invfreqzinMATLAB) with an approximation error on the result as follows: magnitude response 1%, phase response 1.7%.

101

102

103

104

105

-150

-100

-50

0

50

Frequency [Hz]

Magnitude[dB]

101

102

103

104

105

-6000

-4000

-2000

0

2000

Frequency [Hz]

Angle[deg]

0 100 200 300 400 500-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

Samples

Amplitude


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3 Design Usage Example: Schroeder Reverberator

T S R. 28 PDM . T

:

T PDM ,

. A ,

.

I ( ),

HDL R. 27:

=

T60=

fs=

F 7. ()

, ()

, ()

.


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References

1 A D: , ADMP421 D S,

. D.

2 : , ://..//P, M 2013.

3 . B: ,

://../E/DS/DS., 2008.

4 J. D. R: : , J. A E. S., .

56, N. 1/2, J/F 2008.

5 . M: , ://..///268//.

6 N. H: , EE350 E

E N, . 1, A 2010.

7 A, I.: , A N 455, . 1.0, A 2007.

8 R. G. L: ,

://..///4006446/

, M 2005.

9 M. P. D: , F P I, J 2000.

10 S. P: , M

T , 2007.

11 , I.: 3.0, DS845 P S, . 1.0, J 2011.

12 , I.: () 3.0, P S, M 2002.

13 , I.: 4.0, PG140 P G D S, . 1.0, M

2013.

14 G. J. D, J. D. C: , A MATLAB S

E, ISBN: 9789533077086, . 225246, 2011.

15 A. C. C, E. F: ,

A S, E T 54, . 7578, 2011.

16 H. G. G: :

, A D S P, ISBN: 9789533074061, . 237278, 2011.

17 T. S, T. K, T. R, H. T:

, P. 1990 IEEE I S C S (N

O, L), . 32753278, M 1990.

18 P. , B. S, M. K, M. : ,

I J A T, . 4, . 3 & 4, 2011.


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19 P. P. , T. Q. N: , IEEE T

C S, . CAS32, . 3, M 1987.

20 R. T, K. K: , I

J M O, . 3, N. 1, F 2013.

21 , I.: 6.3, DS795 P S, . 1.3, O 2011.

22 , I.: 7.0, PG149 P G D S, . 1.0, M

2013.

23 R. , R. L: , IEEE S P M, . 132134, M 2008.

24 K. C: : , P279 P, .

1.0, J 2008.

25 R. G. L: : , ://..//

/4007653/DSPTDCR, A 2008.

26 E. D: , ://.//15471//, M 2008.

27 E. D: , ://.//15491/1.2/, M 2008.

28 J. S: : , EECS 195 F

P, M 2005.


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Appendix A: Half-Band Filter Coefficients

T FIR C :

radix = 10;

coefdata = -100, 0, 614, 0, -2295, 0, 9971, 16383, 9971, 0, -2295, 0, 614,

0,-100;

Appendix B: Low-Pass Filter Coefficients

T FIR C :

radix = 16;

coefficient_width = 20;

coefdata = 00041, 00111, 002c8, 0056d, 0086d, 00a86, 00a33, 0067c, fffc5,

ff81b, ff282, ff179, ff573, ffc43, 0020f, 00380, fffdd, ff9ae,

ff54a, ff600, ffbb8, 002c4, 0063b, 0036e, ffc13, ff567, ff49a,

ffaeb, 00457, 00a1b, 0078f, ffde6, ff3dd, ff12c, ff8b1, 005c2,

00ef5, 00ce1, 00003, ff133, febb2, ff4be, 006e7, 01520, 0140d,

002f3, fed69, fe3ad, fee8d, 007ce, 01d64, 01e2d, 0074f, fe801,

fd7b5, fe4d3, 00880, 02984, 02dc2, 00e6b, fdfa3, fc42b, fd42d,

00902, 03e33, 049ba, 01bf8, fcff2, f9d13, fb0cb, 00958, 06e10,

08fee, 0416c, fa175, f18e6, f24d3, 00982, 19cd6, 34c97, 46294,

46294, 34c97, 19cd6, 00982, f24d3, f18e6, fa175, 0416c, 08fee,

06e10, 00958, fb0cb, f9d13, fcff2, 01bf8, 049ba, 03e33, 00902,fd42d, fc42b, fdfa3, 00e6b, 02dc2, 02984, 00880, fe4d3, fd7b5,

fe801, 0074f, 01e2d, 01d64, 007ce, fee8d, fe3ad, fed69, 002f3,

0140d, 01520, 006e7, ff4be, febb2, ff133, 00003, 00ce1, 00ef5,

005c2, ff8b1, ff12c, ff3dd, ffde6, 0078f, 00a1b, 00457, ffaeb,

ff49a, ff567, ffc13, 0036e, 0063b, 002c4, ffbb8, ff600, ff54a,

ff9ae, fffdd, 00380, 0020f, ffc43, ff573, ff179, ff282, ff81b,

fffc5, 0067c, 00a33, 00a86, 0086d, 0056d, 002c8, 00111, 00041;


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Appendix C: Overall FPGA Usage

N S R 951 126,800 1

N F F 951

N L 0

N L 0

N AND/OR 0

N S LT 693 63,400 1

N 325 63,400 1

N O6 235

N O5 0

N O5 O6 90

N ROM 0

N M 336 19,000 1

N D P RAM 48

N O6 8

N O5 0

N O5 O6 40

N S P RAM 0

N S R 288

N O6 247

N O5 0

N O5 O6 41

N 32

N 32

N 0

N 0

N S 311 15,850 1

N LT F F 895

N F F 106 895 11

N LT 202 895 22

N LTFF 587 895 65

N 0 126,800 0

N IOB 14 210 6

N LOC IOB 14 14 100 IOB F F 0

N RAMB36E1/FIFO36E1 0 135 0

N RAMB36E1 0

N FIFO36E1 0

N RAMB18E1/FIFO18E1 0 270 0

N BFG/BFGCTRL 4 32 12


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N BFG 4

N BFGCTRL 0

N IDELAE2/IDELAE2FINEDELA 0 300 0

N ILOGICE2/ILOGICE3/ISERDESE2 0 300 0

N ILOGICE2 0

N ILOGICE3 0

N ISERDESE2 0

N ODELAE2/ODELAE2FINEDELA 0

N OLOGICE2/OLOGICE3/OSERDESE2 0 300 0

N OLOGICE2 0

N OLOGICE3 0

N OSERDESE2 0

N PHASERIN/PHASERINPH 0 24 0

N PHASEROT/PHASEROTPH 0 24 0

N BSCAN 0 4 0

N BFHCE 0 96 0

N BFR 1 24 4

N CAPTRE 0 1 0

N DNAPORT 0 1 0

N DSP48E1 16 240 6

N EFSESR 0 1 0

N FRAMEECC 0 1 0

N IBFDSGTE2 0 4 0

N ICAP 0 2 0

N IDELACTRL 0 6 0

N INFIFO 0 24 0

N MMCME2AD 1 6 16

N OTFIFO 0 24 0N PCIE21 0 1 0

N PHASERREF 0 6 0

N PHCONTROL 0 6 0

N PLLE2AD 0 6 0

N STARTP 0 1 0

N ADC 0 1 0

Nexys4 PDM RefProj2 V2

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