Cooley

N-dimensional Cooley-Tukey FFT

N-dimensional Cooley-Tukey FFT
  1. Is Cooley Tukey fast Fourier transform divide and conquer?
  2. How does Cooley Tukey work?
  3. What problem does the Cooley Tukey fast Fourier transform algorithm solve?

Is Cooley Tukey fast Fourier transform divide and conquer?

Fast Fourier Transform (FFT)

The FFT algorithm is an O(nlg n) divide and conquer algorithm for DFT, used by Gauss circa 1805, and popularized by Cooley and Turkey and 1965.

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.

What problem does the Cooley Tukey fast Fourier transform algorithm solve?

The Cooley Tukey algorithm is a Fast Fourier transform algorithm that helps to retrieve the frequency components present in the signal. Also, the Cooley Tukey algorithm is fast as compared to DFT. The time complexity of a DFT is O (N^2) while Cooley Tukey FFT time complexity is O (N log N).

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