  A wireless network serving multiple users in the millimeter-wave or the
sub-terahertz band by a base station is considered. High-throughput multi-user
hybrid-transmit beamforming is conceived by maximizing the minimum rate of the
users. For the sake of energy-efficient signal transmission, the
array-of-subarrays structure is used for analog beamforming relying on
low-resolution phase shifters. We develop a convexsolver based algorithm, which
iteratively invokes a convex problem of the same beamformer size for its
solution. We then introduce the soft max-min rate objective function and
develop a scalable algorithm for its optimization. Our simulation results
demonstrate the striking fact that soft max-min rate optimization not only
approaches the minimum user rate obtained by max-min rate optimization but it
also achieves a sum rate similar to that of sum-rate maximization. Thus, the
soft max-min rate optimization based beamforming design conceived offers a new
technique of simultaneously achieving a high individual quality-of-service for
all users and a high total network throughput.
