File:Butterworth Filter s-Plane Response (3rd Order).svg

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Description
English: Log-absolute complex frequency (s = σ+) response of an 3rd order Butterworth filter. Values less than 0.01 are black; greater than 20 are in white. Also shown is the unit circle, upon which all poles lie. ω0 = 1.
Source Own work
Author Inductiveload
Permission
(Reusing this file)
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Mathematica Code

buttergain[s_] := 1/(1 + 2 s + 2 s^2 + s^3);

DensityPlot[
 min = 0.01;
 max = 20;
 Log[Abs[buttergain[sig + I*w]]],
 {sig, -2, 2},
 {w, -2, 2}, 
 PlotRange -> {Log[min], Log[max]},
 PlotPoints -> 100, 
 ColorFunction -> GrayLevel,
 ClippingStyle -> {Black, White}
]

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Date/TimeThumbnailDimensionsUserComment
current22:08, 31 January 2009Thumbnail for version as of 22:08, 31 January 2009480 × 460 (390 KB)wikimediacommons>Inductiveload{{Information |Description={{en|1=Log-absolute complex frequency (''s'' = ''σ''+''jω'') response of an 3rd order en:Butterworth filter. Values less than 0.01 are black; greater than 20 are in white. Also shown is the unit circle, upon which all po

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