Joint Transceiver and Power Splitter Design Over Two-Way Relaying Channel with Lattice Codes and Energy Harvesting
Zhigang Wen, Shuai Wang, Chunxiao Fan, Weidong Xiang

TL;DR
This paper proposes a joint design approach for transceivers and power splitters in a two-way relaying system that uses lattice codes and energy harvesting, optimizing power and rate performance.
Contribution
It introduces an iterative optimization algorithm for joint transceiver and power splitter design in a two-way relaying channel with energy harvesting, using semi-definite programming.
Findings
Relay transmit power is minimized while maintaining minimal transmission rates.
The proposed algorithm effectively optimizes transmitter, receiver, and power splitter settings.
Numerical results confirm the validity of the power optimization approach.
Abstract
This letter considers a compute-and-forward two-way relaying channel with simultaneous wireless information and power transfer. Specifically, two single-antenna users exchange information via a multi-antenna relay station based on nested lattice codes. Meanwhile, wireless energies flow from the relay to users for circuit consumption and uplink transmission. Based on this model, an optimization problem is formulated to minimize the transmit power at relay, while guaranteeing the minimal transmission rate at each user. To solve the problem, we propose an efficient iterative algorithm to jointly optimize the transmitter, receiver and power splitter, based on semi-definite relaxation and semi-definite programming. Numerical results of relay transmission powers validate our analysis.
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