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endolith/correction factors.md

Last active July 25, 2018 13:42
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ENBW Filter correction factors vs order
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correction factors.md

Equivalent noise bandwidth (ENBW) of different filters.

  • First column is a single-stage Nth-order Butterworth, relative to its −3 dB point.
  • Second column is N stages of 1st-order filters (with same fc), relative to the −3 dB point of the whole.
  • Third column is N stages of 1st-order filters (with same fc), relative to the fc of the individual stages.
Order Nth-order Butterworth N cascaded (−3 dB) N cascaded (fc)
1 1.570796 1.570796 1.570796
2 1.110721 1.220331 0.785398
3 1.047198 1.155395 0.589049
4 1.026172 1.128499 0.490874
5 1.016641 1.113845 0.429515
6 1.011515 1.104637 0.386563
7 1.008442 1.098319 0.354350
8 1.006455 1.093715 0.329039
9 1.005095 1.090213 0.308474
10 1.004124 1.087459 0.291337
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