The following Matlab project contains the source code and Matlab examples used for singular fourier pade approximation.
Partial sums of Fourier terms for a function with jumps in value or derivative converge poorly, because of the Gibbs phenomenon.
Fourier series is a way to represent a wave-like function as a combination of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or, equivalently, complex exponentials).
The following Matlab project contains the source code and Matlab examples used for fourier series of square wave. demo of gibbs phenomenon with overshoot calculation.
This file gives a simple demonstration of how a square wave can be approximated by Fourier series.