An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition

Mohamed Abubaker Alrmah, Stephan Weiss, Sangarapillai Lambotharan

Research output: Contribution to conference › Paper

Abstract

The multiple signal classification (MUSIC) algorithm for direction of arrival estimation is defined for narrowband scenarios. In this paper, a generalisation to the broadband case is presented, based on a description of broadband systems by polynomial space-time covariance matrices. A polynomial eigenvalue decomposition is used to determine the noiseonly subspace of the this matrix, which can be scanned by appropriately defined broadband steering vectors. Two broadband MUSIC algorithm versions are presented, which resolve either angle of arrival alone or in combination with the frequency range over which sources are active. Initial results for these approaches are presented and demonstrate a significant benefit over independent frequency bin processing using narrowband MUSIC.
LanguageEnglish
Pages629-633
Number of pages5
Publication statusPublished - 29 Aug 2011
Event19th European Signal Processing Conference - Barcelona, Spain
Duration: 29 Aug 2011 → 2 Sep 2011

Conference

Conference19th European Signal Processing Conference
CountrySpain
CityBarcelona
Period29/08/11 → 2/09/11

Fingerprint

Polynomials
Decomposition
Direction of arrival
Bins
Covariance matrix
Processing

Keywords

  • MUSIC algorithm
  • broadband
  • narrowband
  • covariance matrices

Cite this

Alrmah, M. A., Weiss, S., & Lambotharan, S. (2011). An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition. 629-633. Paper presented at 19th European Signal Processing Conference, Barcelona, Spain.
Alrmah, Mohamed Abubaker ; Weiss, Stephan ; Lambotharan, Sangarapillai. / An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition. Paper presented at 19th European Signal Processing Conference, Barcelona, Spain.5 p.
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Alrmah, MA, Weiss, S & Lambotharan, S 2011, 'An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition' Paper presented at 19th European Signal Processing Conference, Barcelona, Spain, 29/08/11 - 2/09/11, pp. 629-633.

An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition. / Alrmah, Mohamed Abubaker; Weiss, Stephan; Lambotharan, Sangarapillai.

2011. 629-633 Paper presented at 19th European Signal Processing Conference, Barcelona, Spain.

Research output: Contribution to conference › Paper

TY - CONF

T1 - An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition

AU - Alrmah, Mohamed Abubaker

AU - Weiss, Stephan

AU - Lambotharan, Sangarapillai

PY - 2011/8/29

Y1 - 2011/8/29

N2 - The multiple signal classification (MUSIC) algorithm for direction of arrival estimation is defined for narrowband scenarios. In this paper, a generalisation to the broadband case is presented, based on a description of broadband systems by polynomial space-time covariance matrices. A polynomial eigenvalue decomposition is used to determine the noiseonly subspace of the this matrix, which can be scanned by appropriately defined broadband steering vectors. Two broadband MUSIC algorithm versions are presented, which resolve either angle of arrival alone or in combination with the frequency range over which sources are active. Initial results for these approaches are presented and demonstrate a significant benefit over independent frequency bin processing using narrowband MUSIC.

AB - The multiple signal classification (MUSIC) algorithm for direction of arrival estimation is defined for narrowband scenarios. In this paper, a generalisation to the broadband case is presented, based on a description of broadband systems by polynomial space-time covariance matrices. A polynomial eigenvalue decomposition is used to determine the noiseonly subspace of the this matrix, which can be scanned by appropriately defined broadband steering vectors. Two broadband MUSIC algorithm versions are presented, which resolve either angle of arrival alone or in combination with the frequency range over which sources are active. Initial results for these approaches are presented and demonstrate a significant benefit over independent frequency bin processing using narrowband MUSIC.

KW - MUSIC algorithm

KW - broadband

KW - narrowband

KW - covariance matrices

UR - http://www.eurasip.org/Proceedings/Eusipco/Eusipco2011/papers/1569428327.pdf

UR - http://www.eusipco2011.org/

M3 - Paper

SP - 629

EP - 633

ER -

Alrmah MA, Weiss S, Lambotharan S. An extension of the MUSIC algorithm to broadband scenarios using polynomial eigenvalue decomposition. 2011. Paper presented at 19th European Signal Processing Conference, Barcelona, Spain.

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