File:Butterworth poles 4.svg

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Original file(SVG file, nominally 512 × 717 pixels, file size: 9 KB)

Summary[edit]

Description
English: pole plot of a 4th order Butterworth filter function
Date
Source Own work
Author Fcorthay

Source code[edit]

This graphics has been realized with the help of the following Octave script:

order = 4;
pointNb = 100;
axesLength = 1.25;
textOffset = 0.05;

angle = linspace(pi/2, 3*pi/2, pointNb);
poleAngles = pi/2 + pi * [1:order]/order - pi/(2*order);
poles = cos(poleAngles) + i * sin(poleAngles);

figure(1);
plot(cos(angle), sin(angle));
hold on;
plot([-axesLength, axesLength-1], [0, 0], 'k');
plot([0, 0], [-axesLength, axesLength], 'k');
plot(poles, 'xr');
hold off;
axis("equal", "off");
text(axesLength-1+textOffset, textOffset, "re(s)");
text(textOffset, axesLength+textOffset, "im(s)");
print -dsvg butterworth_poles_4.svg

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.

File history

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Date/TimeThumbnailDimensionsUserComment
current15:52, 3 August 2011Thumbnail for version as of 15:52, 3 August 2011512 × 717 (9 KB)Fcorthay (talk | contribs)
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