Joint Transceiver and Power Splitter Design Over Two-Way Relaying Channel With Lattice Codes and Energy Harvesting

This letter considers a compute-and-forward two-way relaying channel with simultaneous wireless information and power transfer based on nested lattice codes. Two single-antenna nodes exchange information via a multi-antenna intermediate relay station. Meanwhile, energies in wireless signals are beamed and flow from the relay to terminals for static circuit consumption P_c and uplink transmission power P_i. The optimization problem is formulated to minimize the transmit power P_r of relay, while guaranteeing the minimal transmission rate at each terminal. We propose an efficient iterative algorithm to jointly design the beam-former, receiver and power splitter, based on semi-definite relaxation and programming. Numerical results of transmission power comparisons validate our analysis.