File:Butterworth Filter Orders.svg

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

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 development
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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author name string: Inductiveload
Wikimedia username: Inductiveload
URL: http://commons.wikimedia.org/wiki/User:Inductiveload

copyright status

copyrighted, dedicated to the public domain by copyright holder

copyright license

released into the public domain by the copyright holder

inception

18 October 2007

source of file

original creation by uploader

media type

image/svg+xml

checksum

a16a96298b64e8951196ed16bbede7cb951cee7d

determination method or standard: SHA-1

data size

96,838 byte

height

600 pixel

width

850 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current22:45, 18 October 2007Thumbnail for version as of 22:45, 18 October 2007850 × 600 (95 KB)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

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