File:Phase vs Time, wrapped and unwrapped.jpg

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Phase_vs_Time,_wrapped_and_unwrapped.jpg ‎(757 × 390 pixels, file size: 129 KB, MIME type: image/jpeg)

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Summary

Description
English: Illustration of instantaneous phase vs time in two display formats, wrapped and unwrapped. The function has two true discontinuities of 180°, indicative of amplitude zero-crossings. The 360° "discontinuities" at times 37 and 91 are artifacts of phase wrapping.
Date
Source Own work
Author Bob K
Permission
(Reusing this file)
I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Source code
InfoField
Matlab script 
t = (0:99);
y = exp(j*2*pi*.015*t) + exp(j*2*pi*.04*t);
%
figure
  subplot(2,1,1)
  plot(t,angle(y)*180/pi)
  ylim([-180 180])
  set(gca,'YTick', [-180 0 180])
  xlabel('time')
  ylabel('degrees')
  title('wrapped phase')
%
  subplot(2,1,2);
  plot(t,unwrap(angle(y))*180/pi)
  ylim([0 700])
  xlabel('time')
  ylabel('degrees')
  title('unwrapped phase')


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inception

3 February 2012

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Date/TimeThumbnailDimensionsUserComment
current15:37, 4 February 2012Thumbnail for version as of 15:37, 4 February 2012757 × 390 (129 KB)wikimediacommons>Bob Kless compression, higher quality

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