Abstract
This paper considers jointly designing the digital beamformer (DBF) and analog beamformer (ABF) for multi-user downlink hybrid beamforming systems in order to enhance communication performance and reduce information leakage. Our goal is maximizing the minimum signal-to-interference-plus-noise ratio (SINR) while depressing the maximum sidelobe level (SLL) of all users. Since the problem is difficult to solve optimally due to its nonconvexity and the infinitely many sidelobe constraints, we analyze the upper bound of the power in the side lobe region and convert the infinite sidelobe level constraints into a finite number of constraints to reduce the complexity of the hybrid beamformer (HBF) design. Then we transform the DBF design and the ABF design problems into convex problems. Based on alternating optimization and semidefinite relaxation (SDR) techniques, we solve the problem effectively. Simulation results show that the proposed algorithm is envisioned to balancing the SINR of all users while effectively depressing the sidelobe level.
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