# Rate Balancing in Full-Duplex MIMO Two-Way Relay Networks

## TL;DR

This paper proposes a semidefinite relaxation approach to optimize rate balancing in full-duplex MIMO two-way relay networks, effectively mitigating residual self-interference and outperforming half-duplex systems in low interference scenarios.

## Contribution

It introduces a novel optimization framework using semidefinite relaxation for full-duplex MIMO relay networks to enhance rate balancing and interference suppression.

## Key findings

- The proposed method achieves near-optimal rate balancing.
- It outperforms half-duplex systems under low residual self-interference.
- Numerical results confirm the effectiveness of the approach.

## Abstract

Maximizing the minimum rate for a full-duplex multiple-input multiple-output (MIMO) wireless network encompassing two sources and a two-way (TW) relay operating in a two hop manner is investigated. To improve the overall performance, using a zero-forcing approach at the relay to suppress the residual self-interference arising from full-duplex (FD) operation, the underlying max-min problem is cast as an optimization problem which is non-convex. To circumvent this issue, semidefinite relaxation technique is employed, leading to upper and lower bound solutions for the optimization problem. Numerical results verify that the upper and lower bound solutions closely follow each other, showing that the proposed approach results in a close-to-optimal solution. In addition, the impact of residual self-interference upon the overall performance of the network in terms of the minimum rate is illustrated by numerical results, and for low residual self-interference scenarios the superiority of the proposed method compared to an analogous half-duplex (HD) counterpart is shown.