File:Butterworth Filter Orders.svg

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Original file(SVG file, nominally 850 × 600 pixels, file size: 95 KB)

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Description
English: A frequency-response graph of low-pass butterworth filters of orders from 1 to 5. The break frequency is normalised to 1 rad/s, and the DC-gain is normalised to 0dB. (Note: this is the power gain G2 not the amplitude gain.)
Date
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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I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Mathematica source
InfoField
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<<Graphics`Graphics`

butterworth[w_, w0_, o_] = 1/(1 + (w/w0)^(2*o));

LogLinearPlot[
  Evaluate[Table[
      10*Log[10, butterworth[w, 1, ord]],
      {ord, 5}]],
  {w, 0.01, 100},
  PlotRange -> {-100, 0},
  PlotPoints -> 100,
  ImageSize -> 800]

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Date/TimeThumbnailDimensionsUserComment
current22:45, 18 October 2007Thumbnail for version as of 22:45, 18 October 2007850 × 600 (95 KB)Inductiveload (talk | contribs){{Information |Description=A frequency-response graph of w:butterworth filters of orders from 1 to 5. The break frequency is normalised to 1 rad/s, and the DC-gain is normalised to 0dB. |Source=Self-made |Date=18/10/2007 |Author= [[User:Inductiveload

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