fast fourier transform (fft)

FFT is based on divide and conquer algorithm where you divide the signal into two smaller signals, compute the DFT of the two smaller signals and join them to get the DFT of the larger signal.
The order of complexity of DFT is O(n^2) while that of FFT is O(n. logn) hence, FFT is faster than DFT.

What is fast Fourier transform FFT used for?

In signal processing, FFT forms the basis of frequency domain analysis (spectral analysis) and is used for signal filtering, spectral estimation, data compression, and other applications.
Variations of the FFT such as the short-time Fourier transform also allow for simultaneous analysis in time and frequency domains.

How do you take FFT?

Y = fft( X , n ) returns the n -point DFT.

1If X is a vector and the length of X is less than n , then X is padded with trailing zeros to length n .
2) If X is a vector and the length of X is greater than n , then X is truncated to length n .
3) If X is a matrix, then each column is treated as in the vector case.

What is the difference between FT and FFT?

The only difference between FT(Fourier Transform) and FFT is that FT considers a continuous signal while FFT takes a discrete signal as input.
DFT converts a sequence (discrete signal) into its frequency constituents just like FT does for a continuous signal.

A fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) of a sequence, or its inverse (IDFT).Discrete Fourier transfor · Cooley–Tukey FFT algorithm · DFT matrix · Gilbert StrangAutres questions

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