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DCT-III

swMATH ID: 3009
Software Authors: Zeng, Yonghong; Bi, Guoan; Lin, Zhiping
Description: By combining the polynomial transform and radix-q decomposition, the paper presents a new algorithm for the type-III r-dimensional discrete Cosine transform (rD-DCT-III) with size q l 1×q l 2× ... ×q l r , where q is an odd prime number. The number of multiplications for computing an rD-DCT-III is approximately 1/r times that needed by the row-column method while the number of additions increase slightly. The total number of operations (additions plus multiplications) is also reduced. The proposed algorithm has a simple computational structure because it needs only 1D-DCT-III and the polynomial transform.
Homepage: http://www.springerlink.com/content/hk3nnhm8dmptm0dt/fulltext.pdf
Keywords: radix-\(q\) decomposition; algorithm; multidimensional cosine transform; polynomial transforms
Related Software: FFTW
Referenced in: 5 Publications

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