Weiss-Weinstein bound for MIMO radar with colocated linear arrays for SNR threshold prediction

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

Several works have suggested that a multi-input multi-output (MIMO) radar system offers improvement in terms of performance in comparison with classical phased-array radar. However, under the widely spread assumption of a uniform a priori distribution for one parameter of interest, there is no result concerning lower bounds on the mean-square error in the case of a Gaussian observation model with parameterized mean. This Fast Communication fills this lack by using the Weiss-Weinstein bound (WWB) which can be calculated under this difficult scenario. As we will show, the proposed bound for MIMO Radar with colocated linear arrays has no closed-form expression. To solve this problem, we propose a closed-form approximation that, as we will show by simulations, is close to the actual bound. This approximated bound is then analyzed for a design purpose in terms of array geometry. Simulations confirm the good ability of the proposed bound to predict the mean square error (MSE) of the maximum a posteriori (MAP) in all ranges of SNR. Particularly, the tightness of the bound to predict the SNR threshold effect is shown.

Mots clés: Weiss-Weinstein bound

Domaines: Traitement du signal et de l'image [eess.SP]

Duy Tran Nguyen, Alexandre Renaux, Remy Boyer, Sylvie Marcos, Pascal Larzabal. Weiss-Weinstein bound for MIMO radar with colocated linear arrays for SNR threshold prediction. Signal Processing, 2012, 92 (5), pp.1353-1358. ⟨10.1016/j.sigpro.2011.10.018⟩. ⟨hal-00771395⟩