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Fast discrete cosine transform algorithms
M.A. Chicheva
PDF, 410 kB
Pages: 109-114.
Full text of article: Russian language.
Abstract:
Fast algorithms DCT-II, III and IV of odd length have been developed. Estimates of the computational
complexity of the algorithms at N=3r are provided. The advantages of the synthesized algorithms
over the traditional DCT-I of even length are shown.
Citation:
Chicheva MA. Fast discrete cosine transform algorithms. Computer Optics 1996; 16:
109-114.
References:
- Ahmed N, Rao KR. Orthogonal transformations in the processing of digital signals; Moscow: Svyaz; 1980.
- Yaroslavsky LP. An introduction to digital picture processing; Moscow: Sov. Radio Publisher; 1979.
- Chernov VM. Arithmetic aspects of synthesis of fast algorithms of grapes-type discrete orthogonal transforms. Distributed information
processing. Proceedings of the 5th International seminar; Novosibirsk: 1995; 296-300.
- Heideman MT. Computation of an oddlength DCT from a real-valued DFT of the same length. IEEE Trans. Signal Process.; 1992;
40(1): 54-61.
- Chernov VM. Fast algorithm of the odd-length discrete cosine transform. Automatic Control and Computer Science; 1994; 3: 62-
70.
- Chernov VM. Algorithms of two-dimensional discrete orthogonal transforms realized in hamilton–eisenstein codes. Problems
Inform. Transmission; 1995; 31(3): 38-46.
- Wang Z. Fast algorithms for discrete W transform and for the discrete Fourier transform. IEEE Trans. Acoust., Speech, Signal
Processing; 1984; ASSP32: 803-816.
- Ersoy OK. Transform image enhancement. Optical Engineering; 1992; 31(3): 614-626.
- Blahut R. Fast algorithms of digital signal processing; Moscow: Mir Publisher; 1989.
- Van Der Waerden BL. Algebra; Moscow: Nauka Publisher; 1976.
- Pershina MV, Chicheva MA. On various schemes for the decomposition of a 2D DFT with data representation in the quaternion
algebra. Computer Optics 1995; 14-15(2): 13-19 .
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