Detection-estimation of multi-rank Gaussian sources using expected likelihood

Authors:
Ben A. Johnson;Yuri I. Abramovich;Louis L. Scharf
Affiliations:
Lockheed Martin Australia and ITR, University of South Australia, Australia;ISR Division, Defence Science & Technology Organisation, Australia;Department of Electrical and Computer Engineering, Colorado State University, United States
Venue:
Digital Signal Processing
Year:
2011

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Abstract

We consider the problem of detection-estimation (resolution) of a number of sources impinging upon an antenna array, where the covariance matrix of each source has a limited signal eigen-subspace, spanned by a known linear subspace. In general, the direction of arrival (DoA) and the subspace rank of each source is not known a priori and must be estimated, along with detection of the total number of such sources. We introduce the application of a GLRT-based (''expected likelihood'' (EL)) detection-estimation framework to this problem in conjunction with a novel ''multi-rank MUSIC'' technique for initial DoA estimation.