Analyse de performances en traitement d'antenne. : bornes inférieures de l'erreur quadratique moyenne et seuil de résolution limite

Abstract : This manuscript concerns the performance analysis in array signal processing. It can bedivided into two parts :- First, we present the study of some lower bounds on the mean square error related to the source localization in the near eld context. Using the Cramér-Rao bound, we investigate the mean square error of the maximum likelihood estimator w.r.t. the direction of arrivals in the so-called asymptotic area (i.e., for a high signal to noise ratio with a nite number of observations.) Then, using other bounds than the Cramér-Rao bound, we predict the threshold phenomena.- Secondly, we focus on the concept of the statistical resolution limit (i.e., the minimum distance between two closely spaced signals embedded in an additive noise that allows a correct resolvability/parameter estimation.) We de ne and derive the statistical resolution limit using the Cramér-Rao bound and the hypothesis test approaches for the mono-dimensional case. Then, we extend this concept to the multidimensional case. Finally, a generalized likelihood ratio test based framework for the multidimensional statistical resolution limit is given to assess the validity of the proposed extension.
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Physics. Université Paris Sud - Paris XI, 2011. French. <NNT : 2011PA112074>
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https://tel.archives-ouvertes.fr/tel-00625681
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Submitted on : Thursday, September 22, 2011 - 11:57:51 AM
Last modification on : Monday, November 24, 2014 - 10:13:01 AM

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Mohammed Nabil El Korso, Mohammed Nabil El Korso. Analyse de performances en traitement d'antenne. : bornes inférieures de l'erreur quadratique moyenne et seuil de résolution limite. Physics. Université Paris Sud - Paris XI, 2011. French. <NNT : 2011PA112074>. <tel-00625681>

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