An efficient algorithm for computing the discrete cosine transform (DCT) is presented. It is based on an index mapping which converts an odd-length DCT to a real-valued DFT of the same length using permutations and si...
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An efficient algorithm for computing the discrete cosine transform (DCT) is presented. It is based on an index mapping which converts an odd-length DCT to a real-valued DFT of the same length using permutations and sign changes only. The real-valued DFT can then be computed by efficient real-valued fft algorithms such as the prime factor algorithm. The algorithm is more efficient than an earlier one because no postmultiplications are required.
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