Smooth QR decomposition of polynomial matrices

Khattak, Faizan A. and Bakhit, Mohammed and Proudler, Ian K. and Weiss, Stephan (2023) Smooth QR decomposition of polynomial matrices. In: 9th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2023-12-10 - 2023-12-13.

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Abstract

This paper presents a novel algorithm for determining a compact order QR decomposition of a polynomial matrix, where both the Q and R factors themselves are approximated by polynomial matrices. The QR factorisation is subject to an allpass ambiguity; existing time domain methods can lead to factorisations of high order. The proposed algorithm performs the conventional QR decomposition the discrete Fourier transform domain. Subsequently, it establishes phase coherence between adjacent bins through a phase smoothing procedure, aimed at obtaining compact-order factors. The method is validated through experiments over an ensemble of randomized polynomial matrices and shown to outperform state-of-the-art algorithms.

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  Item type:	Conference or Workshop Item(Paper)
  ID code:	87403
  Dates:	Date Event 13 December 2023 Published 21 September 2023 Accepted
  Notes:	© 2023 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
  Subjects:	Technology > Electrical engineering. Electronics Nuclear engineering
  Department:	Faculty of Engineering > Electronic and Electrical Engineering Technology and Innovation Centre > Sensors and Asset Management
  Depositing user:	Pure Administrator
  Date deposited:	21 Nov 2023 15:06
  Last modified:	22 Apr 2024 01:12
  URI:	https://strathprints.strath.ac.uk/id/eprint/87403