Title :
An Empirical Method for Estimating the Number of Signal Sources
Author :
Adionel Guimaraes, Dayan ; Soares, Patricia Maria ; de Souza, Rausley Adriano Amaral
Author_Institution :
Inst. Nac. de Telecomun., Santa Rita, Brazil
fDate :
7/1/2015 12:00:00 AM
Abstract :
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.
Keywords :
covariance matrices; eigenvalues and eigenfunctions; signal processing; signal sources; empirical method; largest eigenvalues; multiple sensors; norm-based method; normalized eigenvalues; normalized indexes; received signal covariance matrix; remaining eigenvalues; signal source estimation; vector norm analysis; Covariance matrices; Direction-of-arrival estimation; Eigenvalues and eigenfunctions; Estimation; Irrigation; Niobium; Sensors; Estimation of the number of sources; random matrix theory;
Journal_Title :
Latin America Transactions, IEEE (Revista IEEE America Latina)
DOI :
10.1109/TLA.2015.7273758