MIMO Radar Waveform Design for Multipath Exploitation

This paper considers specular reflection multipath exploitation by jointly designing the transmit waveform and receive filter for a colocated multiple-input-multiple-output (MIMO) radar system. The goal is to maximize the output signal-to-interference-pulse-noise ratio (SINR) at the receiver with a constant modulus constraint (CMC) on the transmit waveform. Assuming the multipath information to be known or partially known, we consider the waveform-filter design under two different cases. In the first case, the multipath information is exactly known. We devise
Algorithm 1
to optimize the transmit waveform and receive filter alternatively. In the second case, the phase information of multipath reflection is unavailable. Under this situation, the minimax or robust waveform-filter design model is established; i.e., we maximize the worst-case SINR against the phase uncertainties.
Algorithm 2
is proposed to solve the corresponding minimax optimization problem through alternating iterations. At each iteration, the closed form of optimal receive filter is derived, and waveform optimization is converted to a convex optimization problem through semi-definite relaxation (SDR). Finally, numerical experiments are carried out to verify the effectiveness of the proposed algorithms. The Results demonstrate the superiority of the designed waveform-filter pair compared with some existing solutions.