Intro to Scientific Computing
The Cooley-Tukey algorithm is a highly efficient method for computing the Discrete Fourier Transform (DFT) and its inverse, significantly reducing the computational complexity from $O(n^2)$ to $O(n \log n)$. This algorithm is based on the divide-and-conquer approach, breaking down DFTs of larger sequences into smaller ones, which allows for faster processing, especially for large datasets. Its widespread application has made it fundamental in areas such as digital signal processing and image analysis.
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