A fast ADMM-based distributed beamforming for MIMO full-duplex relaying network

Multiple-Input Multiple-Output (MIMO) full-duplex relaying (FDR) has been considered as an efficient technique to enlarge cell coverage. In a wireless communication network, however, the performance of multiple MIMO FDRs is likely to be seriously affected by self-interference(SI), inter-relay interference (IRI) and multi-user interference (MUI). In this paper, we study a distributed beamforming problem for decode-and-forward MIMO FDR network to suppress interference. A sum transmit power minimization problem under per-user rate constraint is formulated. An alternating direction method of multipliers (ADMM) based distributed algorithm is proposed to solve the optimization problem efficiently. Simulation results demonstrate that the convergence performance of the proposed ADMM-based algorithm is superior to the reference SLIPD method, and the convergence rate of the former is several times as much as that of the latter.