Restricted update sequential matrix diagonalisation for parahermitian matrices

Coutts, Fraser K. and Thompson, Keith and Proudler, Ian K. and Weiss, Stephan (2017) Restricted update sequential matrix diagonalisation for parahermitian matrices. In: IEEE 7th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, 2017-12-10 - 2017-12-13.

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Abstract

A number of algorithms capable of iteratively calculating a polynomial matrix eigenvalue decomposition (PEVD) have been introduced. The PEVD is an extension of the ordinary EVD to polynomial matrices and will diagonalise a parahermitian matrix using paraunitary operations. This paper introduces a novel restricted update approach for the sequential matrix diagonalisation (SMD) PEVD algorithm, which can be implemented with minimal impact on algorithm accuracy and convergence. We demonstrate that by using the proposed restricted update SMD (RU-SMD) algorithm instead of SMD, PEVD complexity and execution time can be significantly reduced. This reduction impacts on a number of broadband multichannel problems.

ORCID iDs

Coutts, Fraser K. ORCID: https://orcid.org/0000-0003-2299-2648

Thompson, Keith ORCID: https://orcid.org/0000-0003-0727-7347

Weiss, Stephan ORCID: https://orcid.org/0000-0002-3486-7206

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  Item type:	Conference or Workshop Item(Paper)
  ID code:	61930
  Dates:	Date Event 10 December 2017 Published 18 September 2017 Accepted
  Notes:	(c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, 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 components 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:	05 Oct 2017 14:48
  Last modified:	19 Nov 2024 01:29
  URI:	https://strathprints.strath.ac.uk/id/eprint/61930