Low-Complexity Joint Transmit and Receive Beamforming for MIMO Radar with Multi-Targets

We consider the joint design of transmit and receive beamforming for multiple-input multiple-output (MIMO) systems in the presence of multiple targets and interferences. The objective is to maximize the minimum receiver output signal-to-interference-plus-noise-ratio (SINR) of the targets with constraints on the total and, respectively, per-antenna transmission power. The problem can be solved by an iterative bisection search (IBS) based method, which is, however, computationally intensive since it requires solving a feasibility problem multiple times for each update of the transmit beamformer. We propose a new method that bypasses the iterative feasibility checking by employing an SINR approximation. An analytical proof, which ensures the convergence of the proposed method, is provided. Numerical results show that the proposed method attains a similar SINR performance as the IBS based method but at a significantly lower computational complexity.