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Discrete Fourier Transform

A Discrete Fourier Transform converts a finite list of equally spaced samples of a function into the list of coefficients of a finite combination of complex sinusoids, ordered by their frequencies, that has those same sample values. It is usually said that a discrete Fourier tranform converts the sampled function from its original domain to the frequency domain.

This animation helps visualize how a linear combinations of sinusoids can approach any periodic function.

Based d3.js.