# On the Outage Performance of SWIPT Based Three-step Two-way DF Relay Networks

## TL;DR

This paper analyzes the outage performance of SWIPT-based three-step two-way relay networks employing decode-and-forward, deriving outage probabilities and capacities, and examining the impact of power allocation and splitting schemes on network reliability.

## Contribution

It provides more accurate outage capacity expressions and insights into how asymmetric power splitting improves performance in channels with different gains.

## Key findings

- Asymmetric PS achieves higher outage capacity than symmetric PS in certain conditions.
- Derived outage probability expressions are more accurate than previous models.
- System parameters significantly influence outage performance.

## Abstract

In this paper, we study the outage performance of simultaneous wireless information and power transfer (SWIP- T) based three-step two-way decode-and-forward (DF) relay networks, where both power-splitting (PS) and harvest-then-forward are employed. In particular, we derive the expressions of terminal-to-terminal (T2T) and system outage probabilities based on a Gaussian-Chebyshev quadrature approximation, and obtain the T2T and system outage capacities. The effects of various system parameters, e.g., the static power allocation ratio at the relay, symmetric PS, as well as asymmetric PS, on the outage performance of the investigated network are examined. It is shown that our derived expression for T2T outage capacity is more accurate than existing analytical results, and that the asymmetric PS achieves a higher system outage capacity than the symmetric one when the channels between the relay node and the terminal nodes have different statistic gains.