Discrete Fourier transform

Dft Matlab Code

discrete Fourier transform (DFT) converts a finite list of equally spaced samples of a function into the list of coefficients of a finite combination of complex sinusoids, ordered by their frequencies, that has those same sample values. 

Compute n x n dft matrix in matlab

The following Matlab project contains the source code and Matlab examples used for compute n x n dft matrix. % dftmat = DFT matrix of order N x N; % N = Order of the matrix % computes the DFT matrix of orer N x N; % DFT matrix is a n x n matrix defined as Wn=[(Wn)^km] % Wn=exp(-j*2*pi/n) %Reference: Multirate Systems and Filter banks by P.

Fft Matlab Code

A fast Fourier transform (FFT) is an algorithm to compute the discrete Fourier transform (DFT) and its inverse. Fourier analysis converts time (or space) to frequency and vice versa; an FFT rapidly computes such transformations by factorizing the DFT matrix into a product of sparse (mostly zero) factors.

Radix-2 FFT

Radix-2 FFT

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