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In this paper, we investigate the combination of two key enablingtechnologies for the fifth generation (5G) wireless mobile communication,namely millimeter-wave (mmWave) communications and non-orthogonal multipleaccess (NOMA). In particular, we consider a typical 2-user uplink mmWave-NOMAsystem, where the base station (BS) equips an analog beamforming structure witha single RF chain and serves 2 NOMA users. An optimization problem isformulated to maximize the achievable sum rate of the 2 users while ensuring aminimal rate constraint for each user. The problem turns to be a joint powercontrol and beamforming problem, i.e., we need to find the beamforming vectorsto steer to the two users simultaneously subject to an analog beamformingstructure, and meanwhile control appropriate power on them. As direct searchfor the optimal solution of the non-convex problem is too complicated, wepropose to decompose the original problem into two sub-problems that arerelatively easy to solve: one is a power control and beam gain allocationproblem, and the other is an analog beamforming problem under aconstant-modulus constraint. The rational of the proposed solution is verifiedby extensive simulations, and the performance evaluation results show that theproposed sub-optimal solution achieve a close-to-bound uplink sum-rateperformance.

Joint Power Control and Beamforming for Uplink Non-Orthogonal Multiple Access in 5G Millimeter-Wave Communications