Outage Duration in Poisson Networks and its Application to Erasure Codes

TL;DR

This paper derives the distribution of outage durations in Poisson wireless networks and applies it to optimize erasure coding, revealing the impact of interference correlation on decoding success and throughput.

Contribution

It provides a novel analytical framework for outage durations in Poisson networks and demonstrates how interference correlation influences network coding performance.

Findings

Optimal code rate exists for maximum throughput.

Interference correlation significantly affects decoding probability.

Derived outage duration distribution for Poisson networks.

Abstract

We derive the probability distribution of the link outage duration at a typical receiver in a wireless network with Poisson distributed interferers sending messages with slotted random access over a Rayleigh fading channel. This result is used to analyze the performance of random linear network coding, showing that there is an optimum code rate and that interference correlation affects the decoding probability and throughput.