Adamyan, V., Arov, D. and Krein, M.G. (1971) Analytic Properties of Schmidt Pairs for a Hankel Operator and the Generalized Schur-Takagi Problem. Mathematics of the USSR-Sbornik, 86, 34-75.
https://doi.org/10.1070/SM1971v015n01ABEH001531

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.