Band-Pass
4-Pole Pair
Appendix A
Phase Response Curves
360
270
180
90
360
270
180
90
Q10
0
0
Q1
Q2
Q1
-90
-90
Q2
-180
-270
-360
-180
-270
-360
Q5
Q5
Q10
0.6
0.7
0.8 0.9
1.01.1 1.2 1.3 1.4 1.5 1.6
Normalized Frequency (f/fo)
2
3
4 5 6 78
2
3
0.1
1.0
4 5 6 78 10.0
Normalized Frequency (f/fo)
Normalized Theoretical Phase Data
Phase
Mag
(deg)
Q = 1
(+) (-)
f /f f /f
Q = 2
(+) (-)
f /f f /f
Q = 5
(+) (-)
f /f f /f
Q = 10
(+) (-)
f /f f /f
o
o
o
o
o
o
o
o
1.0 0.997 1.003 0.998 1.002 0.999 1.001 1.000 1.000
2.5 0.992 1.008 0.996 1.004 0.998 1.002 0.999 1.001
5.0 0.983 1.017 0.992 1.008 0.997 1.003 0.998 1.002
10.0 0.967 1.034 0.983 1.017 0.993 1.007 0.997 1.003
15.0 0.951 1.051 0.975 1.025 0.990 1.010 0.995 1.005
20.0 0.936 1.069 0.967 1.034 0.987 1.013 0.993 1.007
25.0 0.920 1.087 0.959 1.042 0.984 1.017 0.992 1.008
30.0 0.905 1.105 0.951 1.051 0.980 1.020 0.990 1.010
35.0 0.891 1.123 0.944 1.060 0.977 1.023 0.988 1.012
40.0 0.876 1.141 0.936 1.068 0.974 1.027 0.987 1.013
45.0 0.863 1.159 0.929 1.077 0.971 1.030 0.985 1.015
50.0 0.849 1.178 0.921 1.086 0.968 1.033 0.984 1.017
60.0 0.823 1.215 0.907 1.103 0.962 1.040 0.981 1.020
70.0 0.799 1.252 0.893 1.120 0.956 1.046 0.978 1.023
80.0 0.776 1.288 0.880 1.136 0.950 1.052 0.975 1.026
90.0 0.755 1.324 0.868 1.152 0.945 1.058 0.972 1.029
120.0 0.701 1.426 0.835 1.198 0.930 1.075 0.964 1.037
150.0 0.657 1.521 0.807 1.239 0.917 1.090 0.958 1.044
180.0 0.618 1.618 0.781 1.281 0.905 1.105 0.951 1.051
210.0 0.577 1.734 0.752 1.330 0.891 1.122 0.944 1.060
240.0 0.525 1.904 0.713 1.403 0.872 1.147 0.933 1.071
270.0 0.452 2.210 0.653 1.532 0.840 1.191 0.916 1.092
300.0 0.345 2.899 0.548 1.825 0.777 1.288 0.880 1.136
330.0 0.192 5.211 0.350 2.859 0.617 1.621 0.780 1.282
7
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