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Demonstration of Gibbs' Phenomenon

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Demonstration of Gibbs' Phenomenon

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02 Sep 2008 (Updated )

Demo on Gibbs' phenomenon

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Description

This short m-file demonstrates the Gibbs' phenomenon in Signal Processing.
It clearly shows the "ringing" when the number of Fourier components are enhanced while synthesising a square waveform.

Acknowledgements

Demonstration Of Gibbs' Phenomenon inspired this file.

This file inspired Demonstration Of Gibbs' Phenomenon.

MATLAB release MATLAB 7.6 (R2008a)
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Comments and Ratings (3)
15 Jan 2012 k.v.swamy

excellent work

12 Jul 2009 Alecsander Eitan  
03 Sep 2008 Carlos Adrian Vargas Aguilera

You can see that the periodicity of the sidelobes depends on the N. Lanczos realizes this and performed a running mean over them as width as this periodicity reducing this phenomena and inventing the Lanczos Filter.

I reccomend you to include comments in your file or something interesting, if it will be only a demo. Otherwise this one is incredibly much better:

http://en.wikipedia.org/wiki/Gibbs_phenomenon

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