# Discrete fourier transform in matlab

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform .
This Matlab code can be used for Fourier transforming of any arbitrary discrete data.

The following Matlab project contains the source code and Matlab examples used for stationary phase approximation for performing fourier transforms.
This function allows one to calculate the Fourier transform of a chirped function evaluated at specific points using the stationary phase approximation.

The following Matlab project contains the source code and Matlab examples used for demonstration of fourier transformation.
These are two M-files “fourier1” and “fourier2” The first is designed to demonstrate how triangular, rectangular, saw tooth, half wave and full wave rectified signals can be built from superposition of a predefined no of Fourier harmonic terms.

The following Matlab project contains the source code and Matlab examples used for displays a two dimensional discrete fourier transformation..
Easy to use display function for analyzing the FFT of tow-dimensional signals.

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 .

The following Matlab project contains the source code and Matlab examples used for for signal processing fractional fourier transform matlab source code. members wish to be useful .
Fractional Fourier transform, chirp signal decomposition-type realization of fractional Fourier transform

The following Matlab project contains the source code and Matlab examples used for inverse fourier transform for xmds.
Calculate Inverse Fourier transform according to
1/(2*pi) \int dk f(k) * exp(i*k*x)
x = -L/2:dx:L/2-dx.
k = -kmax:dk:kmax-dk,
dk = 2*pi/L, kmax = pi/dx;

The following Matlab project contains the source code and Matlab examples used for harmfit sinusoidal harmonic curve fitting.
This is the core formula of discrete Fourier transform: it simply computes the amplitude and phase shift of fundamental or harmonics of a phase signal.

The following Matlab project contains the source code and Matlab examples used for inverse short time fourier transformation (istft) with matlab implementation.
The present code is a Matlab function that provides an Inverse Short-Time Fourier Transformation (ISTFT) of a given spectrogram stft(f, t) with time across columns and frequency across rows.

The following matlab project contains the source code and matlab examples used for fast fourier transform.

The following Matlab project contains the source code and Matlab examples used for 3 part demo use of simple matlab commands for bit reversal required in fast fourier transform or fft.
3-Part Demo Uses of Simple Matlab Commands for Bit Reversed Indices Required in Fast Fourier Transform or FFT

The following Matlab project contains the source code and Matlab examples used for two matlab functions for understanding how fast fourier transform works.
Matlab has fft and ifft already to fast calculate discrete Fourier transform and its inverse.

The following Matlab project contains the source code and Matlab examples used for radix2 decimation in time 1d fast fourier transform fft.
The function implement the 1D radix2 decimation in time fast Fourier transform (FFT) algorithm.

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform low high pass filter..
% function [g] = FFTPF1D (X,binsize, f, P)
% Discrete Fourier Transform Low/High Pass Filter.

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.

The following Matlab project contains the source code and Matlab examples used for zoom spectrum.
This function returns N point DFT samples of 2dw band of Fourier transform of a sequence.

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform one dimensional.
DFT is the frequency domain representation of a discrete digital signal.

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform over hexagonally sampled data.
Data represented on hexagonally sampled lattices have many interesting properties.

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform.
Discrete Fourier transform with both phase & magnitude plot

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform of a finite sequence.
DFT transforms one function into another, which is called the frequency domain representation, or simply the DFT, of the original function (which is often a function in the time domain).

The following Matlab project contains the source code and Matlab examples used for discrete fourier transform 2d.
Run this program with a small image of about 100x100 pixels its because though it works on image of any size but for large images the execution time is very high.

The following Matlab project contains the source code and Matlab examples used for dft and idft.
finds DFT and IDFT of the discrete signal without using in built functions.It is an alternate algorithm to fast fourier transform(FFT)

The following Matlab project contains the source code and Matlab examples used for computes 1-d fourier transform .
this program computes one dimensional fourier transform of a vector and plot its waveform.

The following Matlab project contains the source code and Matlab examples used for extended dft.
EDFT (Extended Discrete Fourier Transform) algorithm produces N-point DFT of sequence X where N is greater than the length of input data.

The following Matlab project contains the source code and Matlab examples used for ifft using fft.
Computes Inverse Fourier Transform of the signal spectrum using Fast Fourier Transform function