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https://doi.org/10.1093/comjnl/bxad043

has been cited by the following article:

• TITLE: AAK Theorem and a Design of Multidimensional BIBO Stable Filters

  AUTHORS: Bossoto Bossoto, Gabriel Bissanga

  KEYWORDS: Multidimensional Filter, Design, BIBO Stability, Optimal, AAK Theorem, Transfer Function, Hankel Matrix

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.14 No.2, March 26, 2024

  ABSTRACT: 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.