Polynomial matrix formulation-based Capon beamformer

Alzin, Ahmed and Coutts, Fraser K. and Corr, Jamie and Weiss, Stephan and Proudler, Ian K. and Chambers, Jonathon A.; (2016) Polynomial matrix formulation-based Capon beamformer. In: 11th IMA International Conference on Mathematics in Signal Processing. Institute of Mathematics and its Applications, GBR.

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Abstract

This paper demonstrates the ease with which broadband array problems can be generalised from their well-known, straightforward narrowband equivalents when using polynomial matrix formulations. This is here exemplified for the Capon beamformer, which presents a solution to the minimum variance distortionless response problem. Based on the space-time covariance matrix of the array and the definition of a broadband steering vector, we formulate a polynomial MVDR problem. Results from its solution in the polynomial matrix domain are presented.

ORCID iDs

Alzin, Ahmed ORCID: https://orcid.org/0000-0001-8716-8233

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

Corr, Jamie ORCID: https://orcid.org/0000-0001-9900-0796

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

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• Item metadata

  Item type:	Book Section
  ID code:	59879
  Dates:	Date Event 12 December 2016 Published 4 November 2016 Accepted
  Keywords:	broadband array problems, narrowband, polynomial matrix formulations, Capon beamformer, minimum variance distortionless response, space-time covariance matrices, steering vector, tap-delay-line processors, Electrical engineering. Electronics Nuclear engineering, Mathematics, Electrical and Electronic Engineering, Mathematics(all)
  Subjects:	Technology > Electrical engineering. Electronics Nuclear engineering Science > Mathematics
  Department:	Faculty of Engineering > Electronic and Electrical Engineering Technology and Innovation Centre > Sensors and Asset Management
  Depositing user:	Pure Administrator
  Date deposited:	20 Feb 2017 14:18
  Last modified:	17 Jul 2021 02:34
  Related URLs:	Event
  URI:	https://strathprints.strath.ac.uk/id/eprint/59879