NDLI: An information theoretic criterion for source number detection using the eigenvalues modified by Gerschgorin radius

Content Provider	IEEE Xplore Digital Library
Author	Qunfei Zhang Juan Ma Jianguo Huang
Copyright Year	2008
Description	Author affiliation: Northwestern Polytech. Univ., Xian (Qunfei Zhang; Juan Ma; Jianguo Huang)
Abstract	AIC method shows good performance in low SNR but gives over-estimation for target number, while MDL can obtain consistent estimation in high SNR but shows bad performance in low SNR. In this paper, a new method for detecting the source number is proposed to take a good compromise between the AIC and the MDL, which bases on Gerschgorinpsilas disk theorem and information theoretic criterion. The method takes a Gerschgorin transform to the covariance matrix of the samples. According to that both the eigenvalues and the Gerschgorin radius have valuable information in distinguishing signal and noise, new eigenvalues modified by the Gerschgorin radius are then introduced to AIC with a new penalty function. Theoretical analysis indicates that the number estimation acquired by the modified AIC (MAIC) method is almost consistent estimation of the number of targets. MAIC method overcomes the drawback of AIC in inconsistent estimation for target number, Simulation and experimental results show the MAIC method is a robust multi-target detecting algorithm.
Starting Page	400
Ending Page	403
File Size	749782
Page Count	4
File Format	PDF
ISBN	9781424422401
DOI	10.1109/SAM.2008.4606899
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-21
Publisher Place	Germany
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Signal to noise ratio Noise Sensors Covariance matrix Estimation Arrays
Content Type	Text
Resource Type	Article

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