Performance bounds under misspecification model for MIMO radar application

Recent tools established on misspecified lower bound on the mean square error allow to predict more accurately the mean square error behavior than the classical lower bounds in presence of model. errors. These bounds are helpful since model errors exist in practice due to system imperfections. In this paper, we are interested in the direction of arrival and direction of departure estimation in MIMO radar context with array elements position error. A closed-form expression is derived for the misspecified Cramér-Rao bound (or Huber limit) for any antennas geometry. A comparison of the misspecified Cramér-Rao bound with the classical Cramér-Rao bound and with the maximum likelihood estimator mean square error highlights the tightness improvement resulting from the use of the proposed bound.