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Discrete Fourier Sine and Cosine Transforms

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The discrete Fourier sine and cosine transforms (DST and DCT) can be used to decompose or represent a given digital signal (that is, discrete) in the form of a set of sums of sines and cosines. Four transform types are possible.

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In the graphics, the initial signal is converted forward and back by the selected discrete Fourier transforms. For specific cases, either a cosine or a sine transform may be a better representation of the original signal than a combination of sine and cosine terms.

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Contributed by: Daniel de Souza Carvalho (March 2011)
Aditional work by: Joe Bolte
Open content licensed under CC BY-NC-SA

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The inverse transforms of types 1, 2, 3, and 4 are 1, 3, 2, and 4, respectively.

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