Downlink HMIMO Beamforming for Maximizing the Weighted Geometric Mean of SE

Abstract

Holographic MIMO (HMIMO) is regarded as a cost-effective approach for implementing extremely large-scale MIMO systems due to its low cost and power consumption. This paper first establishes a downlink near-field HMIMO system that serves multiple users, and the weighted geometric mean of users’ spectral efficiency (WGMSE) is employed as the optimized objective to balance the system performance and user fairness. Subsequently, a highly optimized single-user beamforming is proposed, based on which a multi-user beamforming scheme without external iteration is designed. Numerical results demonstrate that the proposed schemes outperform the benchmark schemes, and could approximate the upper bound of the system performance when a large number of antennas are deployed.