
Band-Pass
4-Pole Pair
Appendix A
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Phase Response Curves
Normalized Frequency (f/fo)
1.0
0.9
0.8
0.7
0.6
-360
-270
-180
-90
0
90
180
270
360
P
1.1 1.2
1.4
1.3
1.5 1.6
0.1
1.0
10.0
2
3
4 5 6 78
Normalized Frequency (f/fo)
2
3
4 5 6 78
-360
-270
-180
-90
0
90
180
270
360
P
Normalized Theoretical Phase Data
Q = 1
(+)
f/fo
0.997 1.003
0.992 1.008
0.983 1.017
0.967 1.034
15.0 0.951 1.051
20.0 0.936 1.069
25.0 0.920 1.087
30.0 0.905 1.105
35.0 0.891 1.123
40.0 0.876 1.141
45.0 0.863 1.159
50.0 0.849 1.178
60.0 0.823 1.215
70.0 0.799 1.252
80.0 0.776 1.288
90.0 0.755 1.324
120.0 0.701 1.426
150.0 0.657 1.521
180.0 0.618 1.618
210.0 0.577 1.734
240.0 0.525 1.904
270.0 0.452 2.210
300.0 0.345 2.899
330.0 0.192 5.211
Q = 2
(+)
f/fo
0.998 1.002
0.996 1.004
0.992 1.008
0.983 1.017
0.975 1.025
0.967 1.034
0.959 1.042
0.951 1.051
0.944 1.060
0.936 1.068
0.929 1.077
0.921 1.086
0.907 1.103
0.893 1.120
0.880 1.136
0.868 1.152
0.835 1.198
0.807 1.239
0.781 1.281
0.752 1.330
0.713 1.403
0.653 1.532
0.548 1.825
0.350 2.859
Q = 5
(+)
f/fo
0.999 1.001
0.998 1.002
0.997 1.003
0.993 1.007
0.990 1.010
0.987 1.013
0.984 1.017
0.980 1.020
0.977 1.023
0.974 1.027
0.971 1.030
0.968 1.033
0.962 1.040
0.956 1.046
0.950 1.052
0.945 1.058
0.930 1.075
0.917 1.090
0.905 1.105
0.891 1.122
0.872 1.147
0.840 1.191
0.777 1.288
0.617 1.621
Q = 10
(+)
f/fo
1.000 1.000
0.999 1.001
0.998 1.002
0.997 1.003
0.995 1.005
0.993 1.007
0.992 1.008
0.990 1.010
0.988 1.012
0.987 1.013
0.985 1.015
0.984 1.017
0.981 1.020
0.978 1.023
0.975 1.026
0.972 1.029
0.964 1.037
0.958 1.044
0.951 1.051
0.944 1.060
0.933 1.071
0.916 1.092
0.880 1.136
0.780 1.282
(-)
f/fo
(-)
f/fo
(-)
f/fo
(-)
f/fo
Phase
Mag
(deg)
1.0
2.5
5.0
10.0
Q1
Q2
Q5
Q10
Q1
Q2
Q5
Q10
42