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This paper presents a strategy to design bilinear discrete cosine transform (DCT) algorithms of prime lengths. We show that by using multiplicative groups of integers, one can identify and arrange the computation as a pair of convolutions. When the DCT length p is such that (p-1)/2 is odd, the computation uses two (p-1)/2 point cyclic convolutions. When (p-1)/2=2mq with m>0 and q odd, the computation...
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