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This chapter discusses the computational requirements of the Discrete Fourier Transform (DFT) and introduces fast algorithms known as Fast Fourier Transforms (FFTs), particularly the radix-2 decimation-in-time FFT algorithm developed by Cooley and Tukey in 1965. The FFT efficiently decomposes the computation of the DFT into smaller DFTs by decimating the input sequence into even and odd indexed subsequences. The chapter emphasizes the efficiency gained when the sequence length is a power of 2.

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