File:Chebyshev Type I Filter s-Plane Response (8th Order).svg

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Description
English: Log-absolute complex frequency (s=σ+) response of an 8th order Chebyshev filter. Values less than 0.05 are black; greater than 20 are in white. ε = 0.1 and ω0 = 1.
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Source Own work
Author Inductiveload
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(Reusing this file)
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

cheb1gain[w_, w0_, ep_, n_] := 1/Sqrt[1 + ep^2*ChebyshevT[n, w/w0]^2];

DensityPlot[
 w0 = 1;
 ep = 0.1;
 min = 0.05;
 max = 20;
 n = 8;
 Log[
  Abs[
   cheb1gain[sig + I*w, w0*I, ep, n]
   ]],
 {sig, -3, 3},
 {w, -3, 3},
 PlotRange -> {Log[min], Log[max]},
 PlotPoints -> 100,
 ColorFunction -> GrayLevel,
 ClippingStyle -> {Black, White},
 Frame -> False,
 ImageSize -> 2000]

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31 January 2009

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5c33ec32639280f67def8279347a2450dc400e77

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460 pixel

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Date/TimeThumbnailDimensionsUserComment
current19:03, 31 January 2009Thumbnail for version as of 19:03, 31 January 2009480 × 460 (212 KB)Inductiveload{{Information |Description={{en|1=Log-absolute complex frequency (''s''=''σ''+''jω'') response of an 8th order en:Chebyshev filter. Values less than 0.05 are black; greater than 20 are in white. ''ε'' = 0.1 and ''ω''<sub>0</sub> = 1.
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