Achievable Sum-Rate Capacity Optimization for Joint MIMO Multiuser Communications and Radar

This work considers the joint transmit design of multiuser MIMO communications and MIMO radar. In particular, we propose to maximize the sum-rate capacity of multiuser MIMO communications under certain transmit correlation mismatch level for MIMO radar, and solve the maximization via convex optimization. Then, a practical transmit design scheme based on Tomlinson-Harashima precoding is proposed to approach the sum-rate capacity. The numerical results on the sum-rate capacity indicate that the average capacity under Rayleigh fading channel is the highest when radar intends to form a omnidirectional transmit beam. The bit error rate simulation shows that the proposed transmit design scheme is about 7dB from the theoretic capacity.