Beamforming via Array Pattern Synthesis for Millimeter Wave NOMA Downlink Transmission

In this paper, we exploit the concept of array pattern synthesis to design cluster beamformers with partial channel state information for non-orthogonal multiple access downlink multiuser transmission in millimeter wave channels. Using the information on angle-of-departure region for each user, we formulate an array pattern nulling problem to design each cluster beamformer for minimizing inter-cluster interferences, which is solved by using semidefinite programming. Further, we exploit linear programming to solve a power allocation problem for each user in the cluster to achieve a target signal-to-interference-and-noise ratio. Numerical results are presented to verify the validity of the proposed schemes.