Demonstration of Gibbs' Phenomenon

Demo on Gibbs' phenomenon

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.

• MATLAB release: MATLAB 7.6 (R2008a)

[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

[Alecsander Eitan]

 

[k]

excellent work