File:Butterworth Filter Orders.svg

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
Other versions
SVG development
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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.
Category:Self-published work#Butterworth%20Filter%20Orders.svgCategory:PD-self#Butterworth%20Filter%20Orders.svg

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]
Category:Butterworth filters
Category:Butterworth filters Category:PD-self Category:Self-published work Category:Valid SVG created with Mathematica:Trigonometry