# Full-duplex Amplify-and-Forward Relaying: Power and Location Optimization

## TL;DR

This paper optimizes power allocation and relay placement in full-duplex amplify-and-forward relay systems to minimize symbol error rate, effectively reducing performance degradation caused by residual self interference.

## Contribution

It provides a novel joint optimization framework for relay location and power in FD AF systems considering residual self interference effects.

## Key findings

- Optimized relay placement and power allocation significantly improve SER performance.
- The performance floor due to residual self interference can be substantially reduced.
- Analytical expressions for outage probability and SER are derived considering RSI.

## Abstract

In this paper, we consider a full-duplex (FD) amplify-and-forward (AF) relay system and optimize its power allocation and relay location to minimize the system symbol error rate (SER). We first derive the asymptotic expressions of the outage probability and SER performance by taking into account the residual self interference (RSI) in FD systems. We then formulate the optimization problem based on the minimal SER criterion. Analytical and numerical results show that optimized relay location and power allocation can greatly improve system SER performance, and the performance floor caused by the RSI can be significantly reduced via optimizing relay location or power allocation.