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

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Original file (SVG file, nominally 480 × 460 pixels, file size: 390 KB)

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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
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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Mathematica Code

[edit]
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
current20:08, 31 January 2009Thumbnail for version as of 20:08, 31 January 2009480 × 460 (390 KB)Inductiveload (talk | contribs){{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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