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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 496, Pages 156–168 (Mi znsl7021)  
Matrix representation of filter banks corresponding to spline wavelets with shifted supports

O. M. Kosogorova, A. A. Makarovb, S. V. Makarovaa

a Saint-Petersburg State University of Aerospace Instrumentation
b Saint Petersburg State University
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Abstract: The paper presents a matrix representation of filter banks corresponding to spline wavelets with shifted supports. The matrix form of decomposition and reconstruction filters simplifies the writing of nonuniform nonstationary wavelet transforms built on nonuniform grids on a finite segment. Such a representation of filters is used, for example, in constructing error-correcting codes.
Key words and phrases: $B$-splines, minimal splines, spline wavelets, wavelet transform, filter banks, nonuniform grids.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МД-2242.2019.9
Received: 22.10.2020
Document Type: Article
UDC: 519.6
Language: Russian
Citation: O. M. Kosogorov, A. A. Makarov, S. V. Makarova, “Matrix representation of filter banks corresponding to spline wavelets with shifted supports”, Computational methods and algorithms. Part XXXIII, Zap. Nauchn. Sem. POMI, 496, POMI, St. Petersburg, 2020, 156–168
Citation in format AMSBIB
\Bibitem{KosMakMak20}
\by O.~M.~Kosogorov, A.~A.~Makarov, S.~V.~Makarova
\paper Matrix representation of filter banks corresponding to spline wavelets with shifted supports
\inbook Computational methods and algorithms. Part~XXXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 496
\pages 156--168
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7021}
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