Joseph Fourier projects and source code

Fourier coefficient conversion in matlab

The following Matlab project contains the source code and Matlab examples used for fourier coefficient conversion. [a, b] = FOURIERexp2cossin(c) Calculate the cos (a) & sin (b) coefficients of the exponential Fourier coefficients (c) returned by fft(x)/size(x,1), while isreal(x) = true needs the unshifted coefficients as input c = FOURIERcossin2exp(a, b) Calculate the exponential Fourier coefficients (c) of the cos (a) & sin (b) coefficients while a(1) = a0 .

Stationnary/propagative components decomposition of a longitude/time signal with fourier harmonics in matlab

The following Matlab project contains the source code and Matlab examples used for stationnary/propagative components decomposition of a longitude/time signal with fourier harmonics . Split the signal S(SPACE,TIME) into its downward/upward space  propagating and stationnary components via a 2D Fourier decomposition.

Fourier Series Matlab Code

 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).

Fourier Series

Fourier Series

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