%0 Journal Article
%T AAK Theorem and a Design of Multidimensional BIBO Stable Filters
%A Bossoto Bossoto
%A Gabriel Bissanga
%J Open Journal of Discrete Mathematics
%P 9-15
%@ 2161-7643
%D 2024
%I Scientific Research Publishing
%R 10.4236/ojdm.2024.142002
%X Rational approximation theory occupies a significant
place in signal processing and systems theory. This research paper proposes an
optimal design of BIBO stable multidimensional Infinite Impulse Response
filters with a realizable (rational) transfer function thanks to the
Adamjan, Arov and Krein (AAK) theorem. It is well known that the one
dimensional AAK results give the best approximation of a polynomial as a
rational function in the Hankel semi norm. We suppose that the Hankel matrix
associated to the transfer function has a finite rank.
%K Multidimensional Filter
%K Design
%K BIBO Stability
%K Optimal
%K AAK Theorem
%K Transfer Function
%K Hankel Matrix
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=132064