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An Empirical Method for Estimating the Number of Signal Sources

In this paper we propose an empirical method for estimating the number of sources of signals impinging on multiple sensors. The method is based on the analysis of the norms of vectors whose elements are the normalized eigenvalues of the received signal covariance matrix and the corresponding normali...

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Published in:	Revista IEEE América Latina 2015-07, Vol.13 (7), p.2057-2064
Main Authors:	Adionel Guimaraes, Dayan, Maria Soares, Patricia, Souza, Rausley Adriano Amaral
Format:	Article
Language:	English
Subjects:	Classification Covariance matrices Direction-of-arrival estimation Eigenvalues Eigenvalues and eigenfunctions Empirical analysis Estimating Estimation Estimation of the number of sources Irrigation Mathematical analysis Matrix theory Niobium Norms random matrix theory Sensors Vectors (mathematics)
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creator	Adionel Guimaraes, Dayan Maria Soares, Patricia Souza, Rausley Adriano Amaral
description	In this paper we propose an empirical method for estimating the number of sources of signals impinging on multiple sensors. The method is based on the analysis of the norms of vectors whose elements are the normalized eigenvalues of the received signal covariance matrix and the corresponding normalized indexes. It is shown that such norms can be used to classify the eigenvalues in two groups: the largest and the remaining ones, thus allowing for the estimation of the number of sources without the knowledge of any additional parameter. It is shown that, in some situations, our norm-based method produces satisfactory performance when compared to a recently proposed random matrix theory method
doi_str_mv	10.1109/TLA.2015.7273758
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subjects	Classification Covariance matrices Direction-of-arrival estimation Eigenvalues Eigenvalues and eigenfunctions Empirical analysis Estimating Estimation Estimation of the number of sources Irrigation Mathematical analysis Matrix theory Niobium Norms random matrix theory Sensors Vectors (mathematics)
title	An Empirical Method for Estimating the Number of Signal Sources
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