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discrete sine transform
In mathematics, the discrete sine transform (DST) is a Fourier-related transform similar to the discrete Fourier transform (DFT), but using a purely real matrix. It is equivalent to the imaginary parts of a DFT of roughly twice the length, operating on real data with odd symmetry (since the Fourier transform of a real and odd function is imaginary and odd), where in some variants the input and/or output data are shifted by half a sample.
A related transform is the discrete cosine transform (DCT), which is equivalent to a DFT of real and ''even'' functions. See the DCT article for a general discussion of how the boundary conditions relate the various DCT and DST types.
== Applications ==
DSTs are widely employed in solving partial differential equations by spectral methods, where the different variants of the DST correspond to slightly different odd/even boundary conditions at the two ends of the array.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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