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File:Butterworth poles 4.svg

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

Summary

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

Source code

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

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 give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Captions

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Items portrayed in this file

depicts

3 August 2011

image/svg+xml

38ca33470d4adc9ccd53cc218c63e59a46cd6093

9,264 byte

717 pixel

512 pixel

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