A Gerschgorin Radii Based Source Number Detection: Analysis and Simulations

Hsien-Tsai WU  Jar-Ferr YANG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E79-A   No.8   pp.1166-1172
Publication Date: 1996/08/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Digital Signal Processing)
source number estimation,  Gerschgorin radii,  

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In this paper, we first analyze the resolution performance of the Gerschgorin radii based source number estimator (GDE, Gerschgorin Disk Estimator) proposed in [1] for independent closely-spaced plane waves. Based upon this analysis, we verify the resolution threshold of the Gerschgorin radii based method for two sources. New close-form expressions of the Gerschgorin radii are formulated and examined. For improvement of detection performance, we then further propose a enhanced GDE method (EGDE). Examples and comparisons with methods based on Gerschgorin radii and weighted Gerschgorin radii, as well as conventional methods are included. Finally, multi-source and/or closely spaced source problems are discussed.