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Cooley-Tukey Implementation of FFT in Matlab

Cooley-Tukey Implementation of FFT in Matlab
  1. How to implement FFT in Matlab?
  2. How does Cooley Tukey work?
  3. How to extract frequency from FFT Matlab?
  4. What is the application of FFT in Matlab?

How to implement FFT in Matlab?

Y = fft( X , n ) returns the n -point DFT. If no value is specified, Y is the same size as X . If X is a vector and the length of X is less than n , then X is padded with trailing zeros to length n . If X is a vector and the length of X is greater than n , then X is truncated to length n .

How does Cooley Tukey work?

in terms of N1 smaller DFTs of sizes N2, recursively, to reduce the computation time to O(N log N) for highly composite N (smooth numbers). Because of the algorithm's importance, specific variants and implementation styles have become known by their own names, as described below.

How to extract frequency from FFT Matlab?

Y = fft(y,NFFT)/Datapoints; fs=Datapoints/Length; f = fs/2*linspace(0,1,NFFT/2+1);

What is the application of FFT in Matlab?

The fft function in MATLABĀ® uses a fast Fourier transform algorithm to compute the Fourier transform of data. Consider a sinusoidal signal x that is a function of time t with frequency components of 15 Hz and 20 Hz. Use a time vector sampled in increments of 1/50 seconds over a period of 10 seconds.

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