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《Journal of Data Acquisition & Processing》 2001-01
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Fast Algorithm for Computing Prime-Length DCT Using Cyclic Convolutions

Yin Ruixiang College of Electronic and Information Engineering,South China University of Technology Guangzhou 510641,P.R.China  
A new algorithm for the computation of discrete cosine transform (DCT) with odd prime length using cyclic or skew cyclic convolutions is proposed. The algorithm separates DCT coefficients into three parts: DC coefficients, even-and odd-indexed DCT coefficients. According to the number theory a new index-mapping operation is defined. By means of the index-mapping operation,the even-indexed part is converted to a cyclic convolution, and the odd-indexed part is converted to a cyclic or skew cyclic convolution depending on its length. Since efficient and fast cyclic convolution algorithms are available, the algorithm has low computational complexity, simple and regular structure.
【CateGory Index】: TN919.8
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