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MIMO radar in the presence of modeling errors: A Cramér-Rao bound investigation

Abstract : In this paper, we study the impact of modeling error on the receiver of a MIMO radar. Following other works on classical array processing, we derive closed-form expressions of the Cramér-Rao bounds for an observation model of a widely spaced MIMO radar affected by modeling error. We show that, as the signal-to-noise ratio increases, the Cramér-Rao bound and the mean square error of the maximum likelihood estimator of the angle-of-arrival do not fall to zero (contrary to the classical case without error modeling) and converge to a fixed limit for which we give a closed-form expression. Moreover, we give a simple closed-form expression of the critical value of the signal-to-noise ratio where this limitation of performance appears.
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Duy Tran Nguyen, Alexandre Renaux, Remy Boyer, Sylvie Marcos, Pascal Larzabal. MIMO radar in the presence of modeling errors: A Cramér-Rao bound investigation. IEEE ICASSP 2011, May 2011, Prague, Czech Republic. pp.2780 - 2783, ⟨10.1109/ICASSP.2011.5947061⟩. ⟨hal-00771365⟩

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