  This paper studies the joint optimization problem of two-way relay
beamforming, the receiver power splitting (PS) ratio as well as the transmit
power at the sources to maximize the achievable sum-rate of a simultaneous
wireless information and power transfer (SWIPT) system with a full-duplex (FD)
multiple-input multiple-output (MIMO) amplify and forward (AF) relay, assuming
perfect channel state information (CSI). In particular, our contribution is an
iterative algorithm based on the difference of convex programming (DC) and one
dimensional searching to achieve the joint solution. Simulation results are
provided to demonstrate the effectiveness of the proposed algorithm.
