Interference and Throughput in Aloha-based Ad Hoc Networks with Isotropic Node Distribution

TL;DR

This paper analyzes interference and throughput in non-stationary, isotropic Aloha ad hoc networks, deriving new closed-form interference distributions and proposing metrics for local throughput measurement.

Contribution

It provides the first closed-form analysis of interference in non-stationary isotropic networks and introduces metrics for local throughput in such settings.

Findings

Closed-form interference distribution for path loss exponents 2 and 4.

New metrics for measuring local throughput in non-stationary networks.

Insights into how spatial distribution shape affects network performance.

Abstract

We study the interference and outage statistics in a slotted Aloha ad hoc network, where the spatial distribution of nodes is non-stationary and isotropic. In such a network, outage probability and local throughput depend on both the particular location in the network and the shape of the spatial distribution. We derive in closed-form certain distributional properties of the interference that are important for analyzing wireless networks as a function of the location and the spatial shape. Our results focus on path loss exponents 2 and 4, the former case not being analyzable before due to the stationarity assumption of the spatial node distribution. We propose two metrics for measuring local throughput in non-stationary networks and discuss how our findings can be applied to both analysis and optimization.