Synthesis of the main elements of multi-dimensional multi-rate systems. Part~I. Nonseparable decimation matrices
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 95-113
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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.
@article{SJVM_2008_11_1_a7,
author = {M. K. Tchobanou},
title = {Synthesis of the main elements of multi-dimensional multi-rate systems. {Part~I.} {Nonseparable} decimation matrices},
journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
pages = {95--113},
publisher = {mathdoc},
volume = {11},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a7/}
}
TY - JOUR AU - M. K. Tchobanou TI - Synthesis of the main elements of multi-dimensional multi-rate systems. Part~I. Nonseparable decimation matrices JO - Sibirskij žurnal vyčislitelʹnoj matematiki PY - 2008 SP - 95 EP - 113 VL - 11 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a7/ LA - ru ID - SJVM_2008_11_1_a7 ER -
%0 Journal Article %A M. K. Tchobanou %T Synthesis of the main elements of multi-dimensional multi-rate systems. Part~I. Nonseparable decimation matrices %J Sibirskij žurnal vyčislitelʹnoj matematiki %D 2008 %P 95-113 %V 11 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a7/ %G ru %F SJVM_2008_11_1_a7
M. K. Tchobanou. Synthesis of the main elements of multi-dimensional multi-rate systems. Part~I. Nonseparable decimation matrices. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 1, pp. 95-113. http://geodesic.mathdoc.fr/item/SJVM_2008_11_1_a7/