
AD6652
FIFTH-ORDER CIC FILTER
The fourth signal processing stage, CIC5, implements a sharp
fixed-coefficient, decimating filter than rCIC2. The input rate to
this filter is
f
SAMP2
. The maximum input rate is given by the
following equation. N
CH
equals two for diversity channel real
input mode; otherwise, N
CH
equals one. To satisfy this equat
increase M
rCIC2
or reduce N
CH
.
Rev. 0 | Page 37 of 76
er
ion,
CH
CLK
N
SAMP
f
f
≤
2
The decimation ratio, M
CIC5
, can be programmed from 2 to 32
(all integer values). The frequency response of the filter is given
by the following equations. Use these equations to calculate the
gain and pass-band droop of CIC5. Both parameters can be
compensated for in the RCF stage.
5
1
5
1
1
2
1
)
(
5
5
×
=
+
z
z
z
H
CIC
CIC
M
S
5
2
2
5
5
sin
sin
2
5
CIC
S
1
)
(
×
=
f
H
×
π
+
SAMP
f
CIC
f
f
f
M
tion without creating an
SAMP
The scale factor, S
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 S
CIC5
to the least attenua
overflow condition. This can be safely accomplished using the
following equation, where OL
rCIC2
is the largest fraction of full
scale possible at the input to this filter stage. This value is output
from the rCIC2 stage, then pipelined into the CIC5.
(
log
5
2
5
CIC
CIC
M
ceil
S
)
(
)
5
2
5
×
=
rCIC
OL
(
)
2
5
5
5
+
5
5
2
rCIC
S
CIC
CIC
CIC
OL
M
OL
×
=
The output rate of this stage is given by the following equation:
5
2
5
CIC
SAMP
M
SAMP
f
f
=
CIC5 REJECTION
Table 15 lists the amount of bandwidth in percentage of the
input rate that can be protected with various decimation rates
and alias rejection specifications. The maximum input rate into
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.
he
f an upper bound on decimation, M
CIC5
.
Table 15. SSB CIC5 Alias Rejection Table (f
SAMP2
= 1)
M
CIC5
50 dB
60 dB
70 dB
2
10.277
8.078
6.393
3
7.924
6.367
5.11
4
6.213
5.022
4.057
5
5.068
4.107
3.326
6
4.267
3.463
2.808
7
3.68
2.989
2.425
8
3.233
2.627
2.133
9
2.881
2.342
1.902
10
2.598
2.113
1.716
11
2.365
1.924
1.563
12
2.17
1.765
1.435
13
2.005
1.631
1.326
14
1.863
1.516
1.232
15
1.74
1.416
1.151
16
1.632
1.328
1.079
17
1.536
1.25
1.016
18
1.451
1.181
0.96
19
1.
375
1.119
0.91
20
1.307
1.064
0.865
21
1.245
1.013
0.824
22
1.188
0.967
0.786
23
1.137
0.925
0.752
24
1.09
0.887
0.721
25
1.046
0.852
0.692
26
1.006
0.819
0.666
27
0.969
0.789
0.641
28
0.934
0.761
0.618
29
0.902
0.734
0.597
30
0.872
0.71
0.577
31
0.844
0.687
0.559
32
0.818
0.666
0.541
80 dB
5.066
4.107
3.271
2.687
2.27
1.962
1.726
1.54
1.39
1.266
1.162
1.074
0.998
0.932
0.874
0.823
0.778
0.737
0.701
0.667
0.637
0.61
0.584
0.561
0. 4
5
0.52
0.501
0.484
0.468
0.453
0.439
90 dB
4.008
3.297
2.636
2.17
1.836
1.588
1.397
1.247
1.125
1.025
0.941
0.87
0.809
0.755
0.708
0.667
0.63
0.597
0.568
0.541
0.516
0.494
0.474
0.455
0.437
0.421
0.406
0.392
0.379
0.367
0.355
100 dB
3.183
2.642
2.121
1.748
1.48
1.281
1.128
1.007
0.909
0.828
0.76
0.703
0.653
0.61
0.572
0.539
0.509
483
0.
0.459
0.437
0.417
0.399
0.383
0.367
3
0.35
0.34
0.328
0.317
0.306
0.297
0.287
The CIC5 stage can protect a much wider band to any given
rejection than rCIC2.
Given the desired filter characteristics, Table 15 can help in t
calculation o
–150
–130
–110
–90
–70
–50
–30
–10
–2
–1
0
1
2
+10
d
MULTIPLES OF CIC5 OUTPUT RATE
0
Figure 48. Double Side-Band Graph Showing CIC5 Filter Response
and Alias Rejection of 100 dB