HSP50214A
0
-6dB BANDWIDTH
-20
-40
-60
-80
-100
HALFBAND FILTER 5
HALFBAND FILTER 4
HALFBAND FILTER 3
HALFBAND FILTER 2
HALFBAND FILTER 1
-120
0.125
0.25
0.375
0.5
NORMALIZED FREQUENCY (FN)
FIGURE 18. HALFBAND FILTER FREQUENCY RESPONSE
0
ALIAS
PROFILES
-20
-6dB BANDWIDTH
-40
-60
-80
-100
-120
HALFBAND FILTER 5
HALFBAND FILTER 4
HALFBAND FILTER 3
HALFBAND FILTER 2
HALFBAND FILTER 1
0.125
0.25
0.375
0.5
NORMALIZED FREQUENCY (FN)
FIGURE 19. HALFBAND FILTER ALIAS CONSIDERATIONS
TABLE 4. HALFBAND FILTER COEFFICIENTS
COEFFICIENTS
HALFBAND #1
HALFBAND #2
HALFBAND #3
HALFBAND #4
HALFBAND #5
C0
- 0.031303406
0.005929947
-0.00130558
0.000378609
-0.000347137
C1
0.000000000
0.000000000
0.000000000
0.000000000
0.000000000
C2
0.281280518
-0.049036026
0.012379646
-0.003810883
0.00251317
C3
0.499954224
0.000000000
0.000000000
0.000000000
0.000000000
C4
0.281280518
0.29309082
-0.06055069
0.019245148
-0.010158539
C5
0.000000000
0.499969482
0.000000000
0.000000000
0.000000000
C6
- 0.031303406
0.29309082
0.299453735
-0.069904327
0.03055191
C7
0.000000000
0.499954224
0.000000000
0.000000000
C8
-0.049036026
0.299453735
0.304092407
-0.081981659
C9
0.000000000
0.000000000
0.500000000
0.000000000
C10
0.005929947
-0.06055069
0.304092407
0.309417725
C11
0.000000000
0.000000000
0.500000000
C12
0.012379646
-0.069904327
0.309417725
C13
0.000000000
0.000000000
0.000000000
C14
-0.00130558
0.019245148
-0.081981659
C15
0.000000000
0.000000000
C16
-0.003810883
0.03055191
C17
0.000000000
0.000000000
C18
0.000378609
-0.010158539
C19
0.000000000
C20
0.00251317
C21
0.000000000
C22
-0.000347137
NOTE: While Halfband filters are typically selected starting with the last stage in the filter chain to give the maximum alias free
bandwidth, a higher throughput rate may be obtained using other filter combinations. See Application Note 9720, “Calculat-
ing Maximum Processing Rates of the PDC”.
17