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AD6636
This filter runs at the same sample rate as the CIC filter output
rate and is given by
Rev. 0 | Page 30 of 72
cic
in
FIR
M
f
f
=
1
where:
f
in
is the input rate in to the channel.
M
CIC
is the decimation ratio in the CIC filter stage.
The maximum input and output rates for this filter are
150 MHz.
Decimate-by-2 Half-Band Filter (HB1)
The next stage of the FIR-HB block is a decimate-by-2 half-
band filter. The 11-tap, symmetrical, fixed-coefficient HB1 filter
has low power consumption due to its polyphase implementa-
tion. The filter has 22 bits of input and output data with 10-bit
coefficients. Table 14 lists the coefficients of the half-band filter.
The normalized coefficients used in the implementation and
the 10-bit decimal equivalent value of the coefficients are also
listed. Other coefficients are zeros.
Table 14. Fixed Coefficients for HB1 Filter
Coefficient
Number
Coefficient
C1, C11
0.013671875
C3, C9
0.103515625
C5, C7
0.58984375
C6
1
Normalized
Decimal Coefficient
(10-Bit)
7
53
302
512
Similar to the FIR1 filter, this filter can be used or bypassed.
Writing Logic 0 to the HB1 enable bit in the FIR-HB control
register bypasses this fixed-coefficient HB filter. The filter is
useful only in certain filter configurations and bypassing it for
other applications results in power savings. For example, it is
useful in narrow-band and wideband output applications in
which more filtering is required as compared to very wide
bandwidth applications in which a higher output rate might
prohibit the use of a decimating filter. The response of the filter
is shown in Figure 32.
The input sample rate of this filter is the same as the CIC filter
output rate and is given by
cic
in
HB
M
f
f
=
1
where:
f
in
is the input rate in to the channel.
M
CIC
is the decimation ratio in the CIC filter stage.
0
FRACTION OF HB1 INPUT SAMPLE RATE
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
d
0
20
10
40
30
60
50
80
70
110
100
90
120
HB1 RESPONSE
0.43
0.57
–77
Figure 32. HB1 Filter Response to the Input Rate of the Filter
The filter has a maximum input sample rate of 150 MHz
and, when filter is not bypassed, the maximum output rate is
75 MHz.
The filter has a ripple of 0.0012 dB and rejection of 77 dB. For
an alias rejection of 77 dB, the alias-protected bandwidth is 14%
of the filter input sample rate. The bandwidth of the filter for a
ripple of 0.00075 dB is also the same as the alias-protected
bandwidth, due to the nature of half-band filters. The 3 dB
bandwidth of this filter is 44% of the filter input sample rate.
For example, if the sample rate into the filter is 50 MHz, then
the alias-protected bandwidth of the HB1 filter is 7 MHz. If the
bandwidth of the required carrier is greater than 7 MHz, then
HB1 might not be useful.
0
FRACTION OF HB1 INPUT SAMPLE RATE
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
d
0
–20
–10
–40
–30
–60
–50
–80
–70
–100
–90
–120
–110
–107
FIR1 + HB1 RESPONSE
0.43
0.57
Figure 33. Composite Response of FIR1 and HB1 Filters to Their Input Rate