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• W2020114631 abstract "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 = 2m q with m > 0 and q odd, the computation requires one (p - 1)/2 point cyclic convolution and a combination of a q point cyclic convolution and a 2m point Hankel product. Using bilinear algorithms for convolutions and Hankel products, one gets a bilinear DCT algorithm. We also show that the additions required beyond the convolutions can be minimized by a small modification to the convolution algorithms. This minimization exploits the fact that efficient bilinear convolution algorithms are almost always based on Chinese Remainder Theorem." @default.
• W2020114631 created "2016-06-24" @default.
• W2020114631 creator A5044225931 @default.
• W2020114631 creator A5063315811 @default.
• W2020114631 date "2006-09-01" @default.
• W2020114631 modified "2023-09-26" @default.
• W2020114631 title "Bilinear algorithms for discrete cosine transforms of prime lengths" @default.
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• W2020114631 doi "https://doi.org/10.1016/j.sigpro.2005.10.022" @default.
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