Polynomial matrix formulation-based Capon beamformer

Ahmed Alzin; Fraser K. Coutts; Jamie Corr; Stephan Weiss; Ian K. Proudler; Jonathon A. Chambers

Polynomial matrix formulation-based Capon beamformer

Ahmed Alzin, Fraser K. Coutts, Jamie Corr, Stephan Weiss, Ian K. Proudler, Jonathon A. Chambers

Electronic And Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

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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.

Original language	English
Title of host publication	11th IMA International Conference on Mathematics in Signal Processing
Place of Publication	Southend-on-Sea
Number of pages	4
Publication status	Published - 12 Dec 2016
Event	11th IMA International Conference on Mathematics in Signal Processing - IET Austin Court, Birmingham, United Kingdom Duration: 12 Dec 2016 → 14 Dec 2016 http://www.ima.org.uk/conferences/conferences_calendar/11th_maths_in_signal_processing.html

Conference

Conference	11th IMA International Conference on Mathematics in Signal Processing
Country/Territory	United Kingdom
City	Birmingham
Period	12/12/16 → 14/12/16
Internet address	http://www.ima.org.uk/conferences/conferences_calendar/11th_maths_in_signal_processing.html

Keywords

broadband array problems
narrowband
polynomial matrix formulations
Capon beamformer
minimum variance distortionless response
space-time covariance matrices
steering vector
tap-delay-line processors

Access to Document

Alzin-etal-ICMSP2016-Polynomial-matrix-formulation-based-Capon-beamformerAccepted author manuscript, 1.09 MB

Cite this

@inproceedings{66e23143cab343b2942442ddd204487d,

title = "Polynomial matrix formulation-based Capon beamformer",

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.",

keywords = "broadband array problems, narrowband, polynomial matrix formulations, Capon beamformer, minimum variance distortionless response, space-time covariance matrices, steering vector, tap-delay-line processors",

author = "Ahmed Alzin and Coutts, {Fraser K.} and Jamie Corr and Stephan Weiss and Proudler, {Ian K.} and Chambers, {Jonathon A.}",

year = "2016",

month = dec,

day = "12",

language = "English",

booktitle = "11th IMA International Conference on Mathematics in Signal Processing",

note = "11th IMA International Conference on Mathematics in Signal Processing ; Conference date: 12-12-2016 Through 14-12-2016",

url = "http://www.ima.org.uk/conferences/conferences_calendar/11th_maths_in_signal_processing.html",

}

TY - GEN

T1 - Polynomial matrix formulation-based Capon beamformer

AU - Alzin, Ahmed

AU - Coutts, Fraser K.

AU - Corr, Jamie

AU - Weiss, Stephan

AU - Proudler, Ian K.

AU - Chambers, Jonathon A.

PY - 2016/12/12

Y1 - 2016/12/12

N2 - 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.

AB - 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.

KW - broadband array problems

KW - narrowband

KW - polynomial matrix formulations

KW - Capon beamformer

KW - minimum variance distortionless response

KW - space-time covariance matrices

KW - steering vector

KW - tap-delay-line processors

UR - http://www.ima.org.uk/conferences/conferences_calendar/11th_maths_in_signal_processing.html

M3 - Conference contribution book

BT - 11th IMA International Conference on Mathematics in Signal Processing

CY - Southend-on-Sea

T2 - 11th IMA International Conference on Mathematics in Signal Processing

Y2 - 12 December 2016 through 14 December 2016

ER -

Polynomial matrix formulation-based Capon beamformer

Abstract

Conference

Keywords

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Signal Processing Solutions for the Networked Battlespace

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Polynomial matrix formulation-based Capon beamformer

Abstract

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Projects

Signal Processing Solutions for the Networked Battlespace

Cite this