Approximation Theory
The Cooley-Tukey algorithm is a highly efficient method for computing the Discrete Fourier Transform (DFT) and its inverse. It utilizes a divide-and-conquer approach to break down a DFT of any composite size into smaller DFTs, which greatly reduces the number of computations required. This algorithm is fundamental in making the Fast Fourier Transform (FFT) practical for applications in digital signal processing and other fields.
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