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The fast Fourier transform is an efficient algorithm to compute the discrete Fourier transform (DFT) and its inverse.

4 votes

What are some of the differences between DFT and FFT that make FFT so fast?

I prefer to imagine the FFT as a matrix trick rather than as a summation trick. … A common FFT uses symmetries and patterns in the DFT definition to do the computation in "layers" (log N layers), each layer with constant-time requirement per sample creating an N log N algorithm. …
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