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 The Discrete Cosine Transform (DCT) (401 words) The DCT is similar to the discrete Fourier transform: it transforms a signal or image from the spatial domain to the frequency domain (Fig 7.8). F(u,v) is the DCT coefficient in row k1 and column k2 of the DCT matrix. The DCT input is an 8 by 8 array of integers.
 DCT - definition of DCT in Encyclopedia (944 words) It is equivalent to a DFT of roughly twice the length, operating on real data with even symmetry (since the Fourier transform of a real and even function is real and even), where in some variants the input and/or output data are shifted by half a sample. DCTs are also widely employed in solving partial differential equations by spectral methods, where the different variants of the DCT correspond to slightly different even/odd boundary conditions at the two ends of the array The inverse of DCT-I is DCT-I multiplied by 2/(n-1).
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