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

Duy Tran Nguyen (1, 2) , Alexandre Renaux (2) , Remy Boyer (2) , Sylvie Marcos (2) , Pascal Larzabal (1)

1 SATIE - Systèmes et Applications des Technologies de l'Information et de l'Energie
2 L2S - Laboratoire des signaux et systèmes

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.

Domains: Engineering Sciences [physics]; Signal and Image processing

Duy Tran Nguyen, Alexandre Renaux, Remy Boyer, Sylvie Marcos, Pascal Larzabal. MIMO radar in the presence of modeling errors: A Cramér-Rao bound investigation. ICASSP 2011 - 36th IEEE International Conference on Acoustics, Speech and Signal Processing, May 2011, Prague, Czech Republic. pp.2780 - 2783, ⟨10.1109/ICASSP.2011.5947061⟩. ⟨hal-00771365⟩