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Results tagged with dft
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user 29056
The Discrete Fourier Transform (DFT) is a mapping between a finite set of discrete points in a (primal) domain (time, space) and the dual frequency domain. DFT requires an input sequence which is discrete, such as a sampling from an analogue audio signal.
4
votes
What are some of the differences between DFT and FFT that make FFT so fast?
To explain at a high level:
A naive DFT computes each output sample independently and uses every input sample in each computation (classic N² algorithm). … And the final step is observing that this resulting N/2 × N/2 matrix is identical to an N/2 DFT matrix and we can do this again and again until we reach a 1×1 matrix where the DFT is an identity function …
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