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Band-Pass
2-Pole Pair
Appendix A
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Q = 1
Q = 2
Q = 5
Q = 10
(+)
(-)
(+)
(-)
(+)
(-)
(+)
(-)
Phase
Mag
(deg)
f /fO
f /fO
f /fO
f /fO
f /fO
f /fO
f /fO
f /fO
1.0
0.994 1.006
0.997 1.003
0.999 1.001 0.999 1.001
2.5
0.985 1.016
0.992 1.008
0.997 1.003 0.998 1.002
5.0
0.970 1.031
0.985 1.016
0.994 1.006 0.997 1.003
10.0
0.940 1.063
0.970 1.031
0.988 1.012 0.994 1.006
15.0
0.913 1.096
0.955 1.047
0.982 1.018 0.991 1.009
20.0
0.886 1.128
0.941 1.062
0.976 1.025 0.988 1.012
25.0
0.861 1.161
0.928 1.078
0.970 1.030 0.985 1.015
30.0
0.838 1.194
0.915 1.093
0.965 1.036 0.982 1.018
35.0
0.815 1.227
0.902 1.108
0.960 1.042 0.980 1.021
40.0
0.794 1.259
0.891 1.123
0.955 1.048 0.977 1.024
45.0
0.774 1.292
0.879 1.138
0.950 1.053 0.974 1.026
50.0
0.755 1.324
0.868 1.152
0.945 1.059 0.972 1.029
60.0
0.719 1.391
0.846 1.182
0.935 1.069 0.967 1.034
70.0
0.685 1.460
0.825 1.212
0.925 1.081 0.962 1.040
80.0
0.652 1.535
0.803 1.245
0.916 1.092 0.957 1.045
90.0
0.618 1.618
0.781 1.281
0.905 1.105 0.951 1.051
105.0
0.564 1.772
0.743 1.346
0.887 1.128 0.941 1.062
120.0
0.502 1.991
0.695 1.439
0.862 1.160 0.928 1.077
135.0
0.424 2.356
0.628 1.594
0.825 1.212 0.908 1.101
150.0
0.320 3.126
0.520 1.923
0.758 1.319 0.869 1.150
165.0
0.177 5.639
0.327 3.058
0.593 1.686 0.764 1.310
180.0
0
inf
0
inf
0
inf
0
inf
Phase Response Curves
Normalized Frequency (f/fo)
1.0
0.9
0.8
0.7
0.6
1.1 1.2
1.4
1.3
1.5 1.6
0.1
1.0
10.0
2
3 4 5 6 7 8
2
3 4 5 6 7 8
Normalized Frequency (f/fo)
-180
-90
0
90
180
Q1
Q2
Q5
Q10
Q1
Q2
Q5
Q10
Normalized Theoretical Phase Data
-180
-90
0
90
180
40
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