The Fast Fourier Transform (FFT) is a widely used algorithm in digital signal processing. The FFT computes the discrete Fourier transform (DFT) of a sequence, converting from temporal or spatial domain to frequency domain. The DFT operation is useful for many signal processing applications, but computing directly from definition is too slow to be practical. An FFT algorithm reduces the complexity from O(N0.5ex2) to O(NlogN), where N is the data size.
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Szot et al. (2024) studied this question.
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