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AD7760
Rev. A | Page 30 of 36
PROGRAMMABLE FIR FILTER
As previously mentioned, the third FIR filter on the AD7760
is user programmable. The default coefficients that are loaded
upon reset are given in
Table 10, and the frequency responses
scale directly with the output data rate.
Table 10. Default Filter Coefficients
No.
Dec
Value
Hex
Value
No.
Dec
Value
Hex
Value
0
53656736
332BCA0
24
700847
AB1AF
1
25142688
17FA5A0
25
70922
401150A
2
4497814
444A196
26
583959
408E917
3
11935847
4B62067
27
175934
402AF3E
4
1313841
4140C31
28
388667
5EE3B
5
6976334
6A734E
29
294000
47C70
6
3268059
31DDDB
30
183250
402CBD2
7
3794610
439E6B2
31
302597
4049E05
8
3747402
4392E4A
32
16034
3EA2
9
1509849
1709D9
33
238315
3A2EB
10
3428088
344EF8
34
88266
158CA
11
80255
1397F
35
143205
4022F65
12
2672124
428C5FC
36
128919
401F797
13
1056628
4101F74
37
51794
CA52
14
1741563
1A92FB
38
121875
1DC13
15
1502200
16EBF8
39
16426
402A
16
835960
40CC178
40
90524
401619C
17
1528400
4175250
41
63899
400F99B
18
93626
16DBA
42
45234
B0B2
19
1269502
135EFE
43
114720
1C020
20
411245
6466D
44
102357
18FD5
21
864038
40D2F26
45
52669
CDBD
22
664622
40A242E
46
15559
3CC7
23
434489
6A139
47
1963
7AB
The default filter should be sufficient for most applications. It is
a standard brick wall filter with a symmetrical impulse response.
The default filter has a length of 96, is nonaliasing, and provides
120 dB of attenuation at Nyquist. This filter not only performs
signal antialiasing, but also suppresses out-of-band quantization
noise produced by the analog-to-digital conversion process. Any
significant relaxation in the stop-band attenuation or transition
bandwidth relative to the default filter can result in a failure to
meet the SNR specifications.
The default filter characteristics scale with both the MCLK
frequency applied and the decimation rate chosen by the user.
To create a filter, note the following:
The filter must be an even, symmetrical FIR.
The coefficients are in sign-and-magnitude format, with
26 magnitude bits and sign coded as positive = 0.
The filter length must be between 12 taps and 96 taps in
steps of 12.
Because the filter is symmetrical, the number of
coefficients that must be downloaded is half the filter
length. The default filter coefficients exemplify this with
only 48 coefficients listed for a 96-tap filter.
Coefficients are written from the center of the impulse
response (adjacent to the point of symmetry) outwards.
The coefficients are scaled so that the in-band gain of the
filter is equal to 134,217,726, with the coefficients rounded
to the nearest integer. For a low-pass filter, this is the
equivalent of having the coefficients summed arithmetically
(including sign) to a +67,108,863 (0x3FF FFFF) positive
value over the half-impulse-response coefficient set (a
maximum of 48 coefficients). Any deviation from this
introduces a gain error.
–20
–40
–60
–80
–100
–120
–140
–160
0
500
2000
1500
1000
2500
FREQUENCY (kHz)
AM
P
L
IT
UD
E
(
d
B
)
0
–0.1dB FREQUENCY = 1.004MHz
PASS-BAND RIPPLE = 0.05dB
STOP BAND = 1.25MHz
–3dB FREQUENCY = 1.06MHz
04
97
5-
04
4
Figure 57. Default Filter Frequency Response (2.5 MHz ODR)
The procedure for downloading a user-defined filter is detailed