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Matched subspace detection with hypothesis dependent noise power

Vincent, François and Besson, Olivier and Richard, Cédric Matched subspace detection with hypothesis dependent noise power. (2008) IEEE Transactions on Signal Processing, vol. 5 (n° 11). pp. 5713-5718. ISSN 1053-587X

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Official URL: http://dx.doi.org/10.1109/TSP.2008.929667

Abstract

We consider the problem of detecting a subspace signal in white Gaussian noise when the noise power may be different under the null hypothesis—where it is assumed to be known—and the alternative hypothesis. This situation occurs when the presence of the signal of interest (SOI) triggers an increase in the noise power. Accordingly, it may be relevant in the case of a mismatch between the actual SOI subspace and its presumed value, resulting in a modelling error. We derive the generalized likelihood ratio test (GLRT) for the problem at hand and contrast it with the GLRT which assumes known and equal noise power under the two hypotheses. A performance analysis is carried out and the distributions of the two test statistics are derived. From this analysis, we discuss the differences between the two detectors and provide explanations for the improved performance of the new detector. Numerical simulations attest to the validity of the analysis.

Item Type:Article
Additional Information:Thanks to IEEE. The original PDF can be found on the IEEE Transactions on Signal Processing website : http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=4602545
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Université de Technologie de Troyes - UTT (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
French research institutions > Centre National de la Recherche Scientifique - CNRS
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Deposited By: Olivier Besson
Deposited On:14 Jan 2009 17:18

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