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Austin, A.P., Krishnamoorthy, M., Leyffer, S., Mrenna, S., Müller, J. and Schulz, H. (2021) Practical Algorithms for Multivariate Rational Approximation. Computer Physics Communications, 261, Article ID: 107663.
https://doi.org/10.1016/j.cpc.2020.107663

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.