Band-Pass
4-Pole Pair
Appendix A
Phase Response Curves
360
270
Q10
360
270
Phase (deg)
180
90
0
-90
Phase (deg)
180
90
0
-90
Q1
-180
-270
-360
Q2
Q5
-180
-270
-360
0.6
0.7
0.8
0.9
Q1
Q2
Q10
Q5
0.1
2
3 4 5 6 78
1.0
10.0
Normalized Frequency (f/fo)
2
3 4 5 6 78
1.0
1.1 1.2 1.3 1.4 1.5 1.6
Normalized Frequency (f/fo)
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
240.0
270.0
300.0
330.0
Q=1
(+)
(-)
f /f o f /f o
0.997 1.003
0.992 1.008
0.983 1.017
0.967 1.034
0.951 1.051
0.936 1.069
0.920 1.087
0.905 1.105
0.891 1.123
0.876 1.141
0.863 1.159
0.849 1.178
0.823 1.215
0.799 1.252
0.776 1.288
0.755 1.324
0.701 1.426
0.657 1.521
0.618 1.618
0.577 1.734
0.525 1.904
0.452 2.210
0.345 2.899
0.192 5.211
Q=2
(+)
(-)
f /f o f /f o
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 /f o f /f o
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 /f o f /f o
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
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