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Computer Optics, 2015, Volume 39, Issue 2, Pages 241–248
DOI: https://doi.org/10.18287/0134-2452-2015-39-2-241-248 (Mi co81) 		 
This article is cited in 12 scientific papers (total in 12 papers)

NUMERICAL METHODS AND ALGORITMS

Quasiparallel algorithm for error-free convolution computation using reduñed Mersenne–Lucas codes

V. M. Chernovab

a Samara State Aerospace University
b mage Processing Systems Institute, Russian Academy of Sciences
Full-text PDF (218 kB) Citations (12)
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DOI: https://doi.org/10.18287/0134-2452-2015-39-2-241-248
Abstract: In this paper a new “error-free” algorithm for discrete circular convolution calculation is proposed. The algorithm is based on a new type of discrete orthogonal transforms for which there exist efficient multiplication-free implementations. The structure of these transforms is associated with the representation of data in the redundant number system associated with Lucas numbers.
Keywords: discrete cyclic convolution, number-theoretical transforms Fibonacci and Lucas numbers, “error-free” calculations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Russian Foundation for Basic Research 13-01-97007-ð_ïîâîëæüå_à
15-07-05576_à
This work was supported by the Ministry of Education and Science of the Russian Federation and grants of RFBR 13-01-97007-r_povolzhe_a and 15-07-05576_a.
Received: 30.03.2015
Revised: 13.04.2015
Document Type: Article
Language: Russian
Citation: V. M. Chernov, “Quasiparallel algorithm for error-free convolution computation using reduñed Mersenne–Lucas codes”, Computer Optics, 39:2 (2015), 241–248
Citation in format AMSBIB
\Bibitem{Che15}
\by V.~M.~Chernov
\paper Quasiparallel algorithm for error-free convolution computation using reduñed Mersenne--Lucas codes
\jour Computer Optics
\yr 2015
\vol 39
\issue 2
\pages 241--248
\mathnet{http://mi.mathnet.ru/co81}
\crossref{https://doi.org/10.18287/0134-2452-2015-39-2-241-248}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Computer Optics
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