# Increasing the Throughput of an Unlicensed Wireless Network through Retransmissions

## TL;DR

This paper investigates how retransmissions and spectrum efficiency influence the throughput of unlicensed wireless networks coexisting with licensed networks, providing analytical insights and optimal strategies under different interference conditions.

## Contribution

It introduces a model analyzing the impact of retransmissions on unlicensed network throughput considering licensed user interference, deriving the optimal throughput as a function of network density.

## Key findings

- Optimal throughput depends on retransmission limits and network density.
- Maximum constrained throughput can match the unconstrained maximum.
- Number of retransmissions for optimal throughput varies with error rate requirements.

## Abstract

This paper analyzes the throughput of an unlicensed wireless network where messages decoded in outage may be retransmitted. We assume that some wireless devices such as sensors are the unlicensed users, which communicate in the licensed uplink channel. In this case, the licensed users that interfere with the unlicensed transmissions devices are mobile devices whose spatial distribution are assumed to follow a Poisson point process with respect to a reference unlicensed link. We investigate how the number of allowed retransmissions and the spectrum efficiency jointly affect the throughput in [bits/s/Hz] of a reference unlicensed link for different licensed network densities, constrained by a given required error rate. The optimal throughput is derived for this case as a function of the network density. We also prove that the optimal constrained throughput can always reach the unconstrained optimal value. Our numerical results corroborate those of the analytical findings, also illustrating how the number of allowed retransmissions that leads to the optimal throughput changes with the error rate requirements.