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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 1, Pages 95–113 (Mi sjvm36)  
This article is cited in 1 scientific paper (total in 1 paper)

Synthesis of the main elements of multi-dimensional multi-rate systems. Part I. Nonseparable decimation matrices

M. K. Tchobanou

Moscow Power Engineering Institute (Technical University)
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Abstract: A synthesis method for multi-dimensional decimation matrices is developed for a given number of channels and dimension. Decimation matrices are used in multi-dimensional multi-rate systems. The method is based on application of eigenvalues techniques and the Groebner bases.
A full parametrization of decimation matrices is given for two-and three-dimensional cases. Peculiarities of the four-dimensional case are considered.
Key words: nonseparable decimation matrix, multi-rate system, multi-dimensional filter bank, eigenvalue, the Groebner bases.
Received: 11.07.2006
Revised: 06.04.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 1, Pages 79–94
DOI: https://doi.org/10.1007/s12258-008-1008-6
UDC: 621.39
Language: Russian
Citation: M. K. Tchobanou, “Synthesis of the main elements of multi-dimensional multi-rate systems. Part I. Nonseparable decimation matrices”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 95–113; Num. Anal. Appl., 1:1 (2008), 79–94
Citation in format AMSBIB
\Bibitem{Tch08}
\by M.~K.~Tchobanou
\paper Synthesis of the main elements of multi-dimensional multi-rate systems. Part~I. Nonseparable decimation matrices
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 1
\pages 95--113
\mathnet{http://mi.mathnet.ru/sjvm36}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 1
\pages 79--94
\crossref{https://doi.org/10.1007/s12258-008-1008-6}
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