Band-Reject
4-Pole Pair
Appendix A
Amplitude Response Curves
0
-10
360
Phase Response Curves
270
Q3
Q10
Phase (deg)
Amp (dB)
-20
-30
-40
-50
-60
-70
.8
.9
180
90
0
-90
Q3
Q10
-180
1
-270
1.1
1.2
-360
Normalized Frequency (f/fo)
0.1
2
3
Normalized Frequency (f/fo)
4 5 6 7 8
1.0
2
3 4 5 6 7 8
10.0
Normalized Theoretical Amplitude Data
Amp
(dB)
-0.10
-0.25
-0.50
-1.00
-1.50
-2.00
-2.50
-3.00
-5.00
-10.00
-15.00
-20.00
-25.00
-30.00
-35.00
-40.00
-45.00
-50.00
-55.00
-60.00
Q=3
fL<fO fH
<
f /fO f /fO
0.799 1.251
0.809 1.236
0.818 1.223
0.828 1.208
0.835 1.198
0.839 1.191
0.844 1.185
0.847 1.180
0.858 1.165
0.877 1.140
0.892 1.121
0.905 1.105
0.916 1.092
0.925 1.081
0.933 1.072
0.939 1.065
0.945 1.059
0.949 1.054
0.952 1.050
0.954 1.048
Q = 10
fL<fO fH
<
f /fO f /fO
0.935 1.069
0.938 1.066
0.941 1.062
0.945 1.059
0.947 1.056
0.949 1.054
0.95 1.053
0.951 1.051
0.955 1.047
0.961 1.040
0.966 1.035
0.97 1.030
0.974 1.027
0.977 1.024
0.979 1.021
0.982 1.019
0.983 1.017
0.984 1.016
0.985 1.015
0.986 1.014
Normalized Theoretical Phase Data
Phase
Mag
(deg)
1.0
2.5
5.0
10.0
15.0
20.0
25.0
30.0
35.0
40.0
45.0
50.0
60.0
70.0
80.0
90.0
120.0
150.0
180.0
210.0
Q=3
(-)
(+)
f /f o f /f o
0.020 49.66
0.050 19.91
0.100 10.03
0.194 5.160
0.279 3.590
0.352 2.838
0.416 2.405
0.470 2.129
0.515 1.940
0.555 1.803
0.588 1.700
0.617 1.620
0.664 1.505
0.701 1.427
0.729 1.372
0.752 1.330
0.797 1.255
0.824 1.214
0.844 1.185
0.862 1.160
Q = 10
(-)
(+)
f /f o f /f o
0.067 14.88
0.164 6.087
0.306 3.268
0.504 1.985
0.621 1.609
0.696 1.437
0.746 1.340
0.783 1.278
0.810 1.235
0.831 1.204
0.848 1.180
0.861 1.161
0.882 1.133
0.897 1.115
0.909 1.101
0.917 1.090
0.934 1.071
0.943 1.060
0.950 1.052
0.957 1.045
43
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