File:Butterworth Filter Orders.svg

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Summary

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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SVG genesis
InfoField
 The SVG code is valid.
 This trigonometry was created with Mathematica

Licensing

Public domain This work has been released into the public domain by its author, Inductiveload. This applies worldwide.
In some countries this may not be legally possible; if so:
Inductiveload grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Source code

<<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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18 October 2007

image/svg+xml

a16a96298b64e8951196ed16bbede7cb951cee7d

96,838 byte

600 pixel

850 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current04:15, 19 October 2007No thumbnail850 × 600 (95 KB)wikimediacommons>Inductiveload{{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