Design of measurement matrix in CS-MIMO radar for extended target estimation

In this paper, we propose a measurement matrix design that improves the parameter estimation of an extended target in a compressive sensing multiple-input multiple-output (CS-MIMO) radar system. In our signal model, we consider the target impulse response (TIR) as an unknown vector that should be estimated in a compressive sensing scenario. Our proposed measurement matrix optimization method is based on minimizing the trace of the Cramer-Rao lower bound (CRLB) matrix in the presence of signal-dependent interference and receiver noise, which leads to a nonlinear and non-convex optimization problem. To tackle design problem, we propose a three-stage optimization procedure in which a low rank matrix constraint is enforced. For comparison purpose, we also obtain the measurement matrix based on minimizing the block-coherence of the sensing matrix blocks. Numerical results demonstrate the effectiveness of our proposed method in parameter estimation of extended targets for CS-MIMO radar.