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In this paper, we investigate the combination of non-orthogonal multipleaccess and millimeter-Wave communications (mmWave-NOMA). A downlink cellularsystem is considered, where an analog phased array is equipped at both the basestation and users. A joint Tx-Rx beamforming and power allocation problem isformulated to maximize the achievable sum rate (ASR) subject to a minimum rateconstraint for each user. As the problem is non-convex, we propose asub-optimal solution with three stages. In the first stage, the optimal powerallocation with a closed form is obtained for an arbitrary fixed Tx-Rxbeamforming. In the second stage, the optimal Rx beamforming with a closed formis designed for an arbitrary fixed Tx beamforming. In the third stage, theoriginal problem is reduced to a Tx beamforming problem by using the previousresults, and a boundary-compressed particle swarm optimization (BC-PSO)algorithm is proposed to obtain a sub-optimal solution. Extensive performanceevaluations are conducted to verify the rational of the proposed solution, andthe results show that the proposed sub-optimal solution can achieve anear-upper-bound performance in terms of ASR, which is significantly improvedcompared with those of the state-of-the-art schemes and the conventional mmWaveorthogonal multiple access (mmWave-OMA) system.

Joint Tx-Rx Beamforming and Power Allocation for 5G Millimeter-Wave Non-Orthogonal Multiple Access (MmWave-NOMA) Networks