University of Texas at Austinsignal.ece.utexas.edu/~vishal/REALTIME/SLIDES/filters.pdf · 6/798 6...

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� ��� � �� ��� � � � �I�;����� ��� � � � � � ����� ��� �!�

DIGITAL BANDPASS ELLIPTIC FILTER

FILTER ORDER = 8

Z PLANE

ZEROS POLES

.977149 +- j .212554 .173365 +- j .761580

.902015 +- j .431705 -.028463 +- j .919833

-.538154 +- j .842847 .683010 +- j .651915

-.873779 +- j .486323 .482595 +- j .656484

RADIUS FREQUENCY RADIUS FREQUENCY

.100000E+01 .272712E+03 .781063E+00 .171502E+04

.100000E+01 .568352E+03 .920273E+00 .203939E+04

.100000E+01 .272351E+04 .944190E+00 .970348E+03

.100000E+01 .335335E+04 .814782E+00 .119288E+04

4 CASCADE STAGES, EACH OF THE FORM:

F(z) = ( 1 + B1*z**(-1) + B2*z**(-2) ) / ( 1 + A1*z**(-1) + A2*z**(-2) )

B1 B2 A1 A2

-1.954298 1.000000 -.346731 .610059

-1.804029 1.000000 .056927 .846903

1.076307 1.000000 -1.366019 .891495

1.747559 1.000000 -.965191 .663870

SCALE FACTOR FOR UNITY GAIN IN PASSBAND: 1.8000479016654E-002

FREQUENCY RESPONSE

FREQUENCY GAIN GAIN (dB) PHASE DELAY (SEC)

.0000 2.1048E-03 -5.3536E+01 .00000 .13458E-03

40.0000 2.0557E-03 -5.3741E+01 -.03385 .13493E-03

80.0000 1.9093E-03 -5.4382E+01 -.06789 .13600E-03

120.0000 1.6681E-03 -5.5556E+01 -.10228 .13780E-03

.

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10.The AD1848 does not have anyCS4231A specific features. See Appen-dix A for more details.

11.The TEST pin on the CS4231A must begrounded. This pin is not used or con-nected on the AD1848. Grounding thispin will support the CS4231A while hav-ing no affect on the AD1848.

ADC/DAC FILTER RESPONSE PLOTS

Figures 18 through 23 show the overall fre-quency response, passband ripple, and transitionband for the CS4231A ADCs and DACs. Fig-ure 24 shows the DACs’ deviation from linearphase. Since the CS4231A scales filter responsebased on sample frequency selected, all fre-quency response plots x-axis’ are shown from 0to 1 where 1 is equivalent to Fs. Therefore, forany given sample frequency, multiply the x-axisvalues by the sample frequency selected to getthe actual frequency.

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50

Input Frequency (×Fs)

-0.8

-0.7

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

-0.0

0.1

0.2

Mag

nitu

de (

dB)

Figure 19. ADC Passband Ripple.

0.40 0.43 0.46 0.49 0.52 0.55 0.58 0.61 0.64 0.67 0.70Input Frequency (×Fs)

-100

-90

-80

-70

-60

-50

-40

-30

-20

-10

0

Mag

nitu

de (

dB)

Figure 20. ADC Transition Band.

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Input Frequency (×Fs)

-100

-90

-80

-70

-60

-50

-40

-30

-20

-10

0

10

Mag

nitu

de (

dB)

Figure 18. ADC Filter Response.

CS4231A

DS139PP2 45

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0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50Input Frequency (×Fs)

-2.5

-2.0

-1.5

-1.0

-0.5

0.0

0.5

1.0

1.5

2.0

2.5

Pha

se (

degr

ees)

Figure 24. DAC Phase Response.

0.40 0.43 0.46 0.49 0.52 0.55 0.58 0.61 0.64 0.67 0.70Input Frequency (×Fs)

-100

-90

-80

-70

-60

-50

-40

-30

-20

-10

0

Mag

nitu

de (

dB)

Figure 23. DAC Transition Band.

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50Input Frequency (×Fs)

-0.8

-0.7

-0.6

-0.5

-0.4

-0.3

-0.2

-0.1

-0.0

0.1

0.2

Mag

nitu

de (

dB)

Figure 22. DAC Passband Ripple.

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0Input Frequency (×Fs)

-100

-90

-80

-70

-60

-50

-40

-30

-20

-10

0

10

Mag

nitu

de (

dB)

Figure 21. DAC Filter Response.

CS4231A

46 DS139PP2

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