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The adaptive coherence estimator is the generalized likelihood ratio test for a class of heterogeneous environments

Bidon, Stéphanie and Besson, Olivier and Tourneret, Jean-Yves The adaptive coherence estimator is the generalized likelihood ratio test for a class of heterogeneous environments. (2008) IEEE Signal Processing Letters, vol. 15 . pp. 281-284. ISSN 1070-9908

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Official URL: http://dx.doi.org/10.1109/LSP.2007.916044

Abstract

The adaptive coherence estimator (ACE) is known to be the generalized likelihood ratio test (GLRT) in partially homogeneous environments, i.e., when the covariance matrix Ms of the secondary data is proportional to the covariance matrix Mp of the vector under test (or Ms = gamma/Mp). In this letter, we show that ACE is indeed the GLRT for a broader class of nonhomogeneous environments, more precisely when Ms is a random matrix, with inverse complex Wishart prior distribution whose mean only is proportional to Mp. Furthermore, we prove that, for this class of heterogeneous environments, the ACE detector satisfies the constant false alarm rate (CFAR) property with respect to gamma and Mp.

Item Type:Article
Additional Information:Thanks to IEEE. The original PDF can be found on the IEEE Signal Processing Letters website : http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Université de Toulouse I-Sciences Sociales - UT1
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT
Université de Toulouse > Université Paul Sabatier-Toulouse III - UPS
French research institutions > Centre National de la Recherche Scientifique - CNRS
Université de Toulouse > Université de Toulouse II-Le Mirail - UTM
Laboratory name:
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Deposited By:Olivier Besson

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