Matrix representation of filter banks corresponding to spline wavelets with shifted supports
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIII, Tome 496 (2020), pp. 156-168
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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.
@article{ZNSL_2020_496_a11,
author = {O. M. Kosogorov and A. A. Makarov and S. V. Makarova},
title = {Matrix representation of filter banks corresponding to spline wavelets with shifted supports},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--168},
publisher = {mathdoc},
volume = {496},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a11/}
}
TY - JOUR AU - O. M. Kosogorov AU - A. A. Makarov AU - S. V. Makarova TI - Matrix representation of filter banks corresponding to spline wavelets with shifted supports JO - Zapiski Nauchnykh Seminarov POMI PY - 2020 SP - 156 EP - 168 VL - 496 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a11/ LA - ru ID - ZNSL_2020_496_a11 ER -
%0 Journal Article %A O. M. Kosogorov %A A. A. Makarov %A S. V. Makarova %T Matrix representation of filter banks corresponding to spline wavelets with shifted supports %J Zapiski Nauchnykh Seminarov POMI %D 2020 %P 156-168 %V 496 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a11/ %G ru %F ZNSL_2020_496_a11
O. M. Kosogorov; A. A. Makarov; S. V. Makarova. Matrix representation of filter banks corresponding to spline wavelets with shifted supports. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXIII, Tome 496 (2020), pp. 156-168. http://geodesic.mathdoc.fr/item/ZNSL_2020_496_a11/