Cooley–Tukey algorithm (Discrete Fourier Transform Discrete Fourier Transform)

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Time Complexity

$O(n \log n)$

Space Complexity

$O(n)$? words

(Computes and keeps track of DFTs for recursive subcases)

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1965

Reference

https://www.ams.org/journals/mcom/1965-19-090/S0025-5718-1965-0178586-1/S0025-5718-1965-0178586-1.pdf