  In this paper, a joint transmitter and receiver design for pattern division
multiple access (PDMA) is proposed. At the transmitter, pattern mapping
utilizes power allocation to improve the overall sum rate, and beam allocation
to enhance the access connectivity. At the receiver, hybrid detection utilizes
a spatial filter to suppress the inter-beam interference caused by beam domain
multiplexing, and successive interference cancellation to remove the intra-beam
interference caused by power domain multiplexing. Furthermore, we propose a
PDMA joint design approach to optimize pattern mapping based on both the power
domain and beam domain. The optimization of power allocation is achieved by
maximizing the overall sum rate, and the corresponding optimization problem is
shown to be convex theoretically. The optimization of beam allocation is
achieved by minimizing the maximum of the inner product of any two beam
allocation vectors, and an effective dimension reduction method is proposed
through the analysis of pattern structure and proper mathematical
manipulations. Simulation results show that the proposed PDMA approach
outperforms the orthogonal multiple access and power-domain non-orthogonal
multiple access approaches even without any optimization of pattern mapping,
and that the optimization of beam allocation yields a significant performance
improvement than the optimization of power allocation.
