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D100L Datasheet, PDF (6/7 Pages) Frequency Devices, Inc. – 4- and 8- Pole Low-Pass Filters
Low-Pass
Appendix A
4-Pole
Butterworth
Theoretical Transfer Characteristics
f/fc
Amp Phase Delay1
(Hz) (dB) (deg) (sec)
0.00 0.00
0.00 .416
0.10 0.00 -15.0 .418
0.20 0.00 -30.1 .423
0.30 -0.00 -45.5 .433
0.40 -0.003 -61.4 .449
0.50 -0.017 -78.0 .474
0.60 -0.072 -95.7 .511
0.70 -0.243 -115
.558
0.80 -0.674 -136
.604
0.85 -1.047 -147
.619
0.90 -1.555 -158
.622
Frequency Response
0
-20
-40
-60
-80
-100
0.1
2 3 4 5 6 781.0 2 3 4 5 6 7 10.0
Normalized Frequency(f/fc)
0.95 -2.21
-169
.612
1.00 -3.01
-180
.588
1.10 -4.97
-200
.513
1.20 -7.24
-217
.427
1.30 -9.62
-231
.350
Delay (Normalized)
2.0
1.40 -12.0
-242
.289
1.50 -14.3
-252
.241
1.60 -16.4
-260
.204
1.70 -18.5
-266
.175
1.80 -20.5
-272
.152
1.0
1.90 -22.3
-277
.134
2.00 -24.1
-282
.119
2.25 -28.2
-291
.091
2.50 -31.8
-299
.072
2.75 -35.1
-304
.059
3.00 -38.2
-309
.049
3.25 -41.0
-313
.041
3.50 -43.5
-317
.035
4.00 -48.2
-322
.027
5.00 -55.9
-330
.017
0.0
0.1 0.15 2
3 4 5 6 7 8 91.0 1.5
Normalized Frequency(f/fc)
Step Response
6.00 -62.3
-335
.012
1.2
7.00 -67.6
-339
.009
8.00 -72.2
-341
.007
1.0
9.00 -76.3
-343
.005
10.0 -80.0
-345
.004
0.8
0.6
0.4
0.2
1.Normalized Group Delay:
-0.0
The above delay data is normalized to a corner frequency
of 1.0Hz.The actual delay is the normalized delay divided
0
1
2
3
4
5
by the actual corner frequency (fc).
Normalized Time (1/f sec)
Normalized Delay
Actual Delay =
Actual Corner Frequency (fc) in Hz
7
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