Fast Fourier Transform

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Fast Fourier Transform is an efficient algorithm for calculating the discrete fourier transform (DFT). Reduces the execution time by hundreds in some cases. Whereas DFT takes an order of $O(n^{2})\,$ computations, FFT takes an order of $O(n\,\log \,n)$, and is definitely the preferred algorithm to used in all applications. The FFT in most implementations consistent of samples that are exactly a power of 2.