Preliminary Technical Data
AD6652
Rev. PrC | Page 35 of 76
ion,
FIFTH-ORDER CIC FILTER
The fourth signal processing stage, CIC5, implements a sharper
fixed-coefficient, decimating filter than rCIC2. The input rate to
this filter is ∫SAMP2. The maximum input rate is given by the
following equation. NCH equals two for diversity channel real
input mode; otherwise, NCH equals one. To satisfy this equat
increase MrCIC2 or reduce NCH.
CH
CLK
SAMP
N
∫
≤
∫
2
The decimation ratio, MCIC5, may e programmed from 2 to 32
(all integer v
iven
y the following equations. Use these equations to calculate the
gain and pass-band droop of CIC5. Both parameters may be
b
alues). The frequency response of the filter is g
b
compensated for in the RCF stage.
5
1
5
1
2
1
)
(
5
×
=
+
z
H
CIC
M
S
5
2
5
sin
2
1
)
(
5
∫
π
∫
×
=
∫
+
SAMP
S
H
CIC
The scale factor, S
5
∫
×
CIC
ull
sin
π
M
CIC5
, is a programmable unsigned integer
between 0 and 20. It serves to control the attenuation of the data
into the CIC5 stage in 6 dB increments. For the best dynamic
range, set SCIC5 to the least attenuation without creating an
overflow condition. This can be safely accomplished using the
following equation, where OLrCIC2 is the largest fraction of f
scale possible at the input to this filter stage. This value is output
from the rCIC2 stage, then pipelined into the CIC5.
(
)
(
) 5
log
2
5
2
5 =
C
CIC
M
ceil
S
×
rCIC
IC
OL
()
2
5
2
rCIC
S
CIC
OL
M
OL
CIC
×
=
+
The output rate of this stage is given by the following equation:
5
2
5
CIC
SAMP
M
∫
=
∫
CIC5 REJECTION
input rate that can be protected with various decimation rates
and alias rejection specifications. The maximum input rate i
the CIC5 is 65 MHz when the rCIC2 decimates by 1. As in the
previous rCIC2 table
(Table 14), these are the single-sideband
bandwidth characteristics of the CIC5.
The CIC5 stage can protect a much wider band to any given
rejection than rCIC2.
nto
e
Given the desired filter characteristics,
Table 15 can help in th
calculation of an upper bound on decimation, MCIC5.
Table 15. SSB CIC5 Alias Rejection Table (fSAMP2 = 1)
MCIC5
50 dB
60 dB
70 dB
80 dB
90 dB
100 dB
2
10.277
8.078
6.393
5.066
4.008
3.183
3
7.924
6.367
5.11
4.107
3.297
2.642
4
6.213
5.022
4.057
3.271
2.636
2.121
5
5.068
4.107
3.326
2.687
2.17
1.748
6
4.267
3.463
2.808
2.27
1.836
1.48
7
3.68
2.989
2.425
1.962
1.588
1.281
8
3.233
2.627
2.133
1.726
1.397
1.128
9
2.881
2.342
1.902
1.54
1.247
1.007
10
2.598
2.113
1.716
1.39
1.125
0.909
11
2.365
1.924
1.563
1.266
1.025
0.828
12
2.17
1.765
1.435
1.162
0.941
0.76
13
2.005
1.631
1.326
1.074
0.87
0.703
14
1.863
1.516
1.232
0.998
0.809
0.653
15
1.74
1.416
1.151
0.932
0.755
0.61
16
1.632
1.328
1.079
0.874
0.708
0.572
17
1.536
1.25
1.016
0.823
0.667
0.539
18
1.451
1.181
0.96
0.778
0.63
0.509
19
1.375
1.119
0.91
0.737
0.597
0.483
20
1.307
1.064
568
0.865
0.701
0.
0.459
21
1.245
1.013
0.667
0.541
0.824
0.437
22
1.188
0.967
0.637
0.516
0.417
0.786
23
1.137
0.925
0.61
0.494
0.752
0.399
24
1.09
0.887
0.721
0.584
0.474
0.383
25
1.046
0.852
0.692
0.561
0.455
0.367
26
1.006
0.819
0.666
0.54
0.437
0.353
27
0.969
0.789
0.641
0.52
0.421
0.34
28
0.934
0.761
0.618
0.501
0.406
0.328
29
0.902
0.734
0.597
0.484
0.392
0.317
30
0.872
0.71
0.577
0.468
0.379
0.306
31
0.844
0.687
0.559
0.453
0.367
0.297
32
0.818
0.666
0.541
0.439
0.355
0.287
–150
–130
–2
–1
0
1
2
–110
–90
–30
–10
+10
–70
–50
dB
MULTIPLES OF CIC5 OUTPUT RATE
03198-0-035
Figure 39. Double Side-Band Graph Showing CIC5 Filter Response
and Alias Rejection of 100 dB