Polynomial Procrustes problem : paraunitary approximation of matrices of analytic functions
Weiss, Stephan and Schlecht, Sebastian J. and Das, Orchisama and de Sena, Enzo (2023) Polynomial Procrustes problem : paraunitary approximation of matrices of analytic functions. In: 31st European Signal Processing Conference, 2023-09-04 - 2023-09-08.
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Abstract
In the narrowband case, the best least squares approximation of a matrix by a unitary one is given by the Procrustes problem. In this paper, we expand this idea to matrices of analytic functions, and characterise a broadband equivalent to the narrowband case: the polynomial Procrustes problem. Its solution is based on an analytic singular value decomposition, and for the case of spectrally majorised, distinct singular values, we demonstrate the application of a suitable algorithm to three problems — time delay estimation, paraunitary matrix completion, and general paraunitary approximations — in simulations.
ORCID iDs
Weiss, Stephan ORCID: https://orcid.org/0000-0002-3486-7206, Schlecht, Sebastian J., Das, Orchisama and de Sena, Enzo;-
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Item type: Conference or Workshop Item(Paper) ID code: 85684 Dates: DateEvent4 September 2023Published4 September 2023Published Online29 May 2023AcceptedSubjects: Technology > Electrical engineering. Electronics Nuclear engineering > Telecommunication Department: Faculty of Engineering > Electronic and Electrical Engineering
Technology and Innovation Centre > Sensors and Asset ManagementDepositing user: Pure Administrator Date deposited: 02 Jun 2023 14:38 Last modified: 11 Nov 2024 17:09 URI: https://strathprints.strath.ac.uk/id/eprint/85684