Performance Analysis of an Improved MUSIC DoA Estimator

This paper addresses the statistical performance of subspace DoA estimation using a sensor array, in the asymptotic regime where the number of samples and sensors both converge to infinity at the same rate. Improved subspace DoA estimators were derived (termed as G-MUSIC) in previous works, and were...

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Detalhes bibliográficos
Autores: Vallet, P, Mestre, X, Loubaton, P
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Recursos:Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
Repositorio:r-CTTC. Repositorio Institucional Producción Científica del Centre Tecnològic de Telecomunicacions de Catalunya (CTTC)
OAI Identifier:oai:cttc.fundanetsuite.com:p1264
Acesso em linha:https://cttc.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1264
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84960172983&doi=10.1109%2fTSP.2015.2465302&partnerID=40&md5=68a71f07bfbe1a480f2035d7ff0c63e3
Access Level:acceso abierto
Palavra-chave:Asymptotic analysis
Random variables
Asymptotic regimes
Asymptotic variance
DOA estimation
Gaussian distributed
Number of samples
Performance analysis
Random matrix theory
Statistical performance
Direction of arrival
Descrição
Resumo:This paper addresses the statistical performance of subspace DoA estimation using a sensor array, in the asymptotic regime where the number of samples and sensors both converge to infinity at the same rate. Improved subspace DoA estimators were derived (termed as G-MUSIC) in previous works, and were shown to be consistent and asymptotically Gaussian distributed in the case where the number of sources and their DoA remain fixed. In this case, which models widely spaced DoA scenarios, it is proved in the present paper that the traditional MUSIC method also provides DoA consistent estimates having the same asymptotic variances as the G-MUSIC estimates. The case of DoA that are spaced of the order of a beamwidth, which models closely spaced sources, is also considered. It is shown that G-MUSIC estimates are still able to consistently separate the sources, while this is no longer the case for the MUSIC ones. The asymptotic variances of G-MUSIC estimates are also evaluated. © 2015 IEEE.