Spatial Analysis of Opportunistic Downlink Relaying in a Two-Hop Cellular System

TL;DR

This paper models the spatial distribution of nodes in a two-hop cellular system using stochastic geometry, analyzing relaying schemes' success probabilities while accounting for interference, and introduces a framework for arbitrary relaying schemes.

Contribution

It introduces a novel mathematical framework that incorporates spatial node distributions into the analysis of two-hop relaying schemes in cellular networks.

Findings

Success probability formulas for two relaying schemes derived

Interference effects from all cells included in analysis

Framework applicable to various relaying strategies

Abstract

We consider a two-hop cellular system in which the mobile nodes help the base station by relaying information to the dead spots. While two-hop cellular schemes have been analyzed previously, the distribution of the node locations has not been explicitly taken into account. In this paper, we model the node locations of the base stations and the mobile stations as a point process on the plane and then analyze the performance of two different two-hop schemes in the downlink. In one scheme the node nearest to the destination that has decoded information from the base station in the first hop is used as the relay. In the second scheme the node with the best channel to the relay that received information in the first hop acts as a relay. In both these schemes we obtain the success probability of the two hop scheme, accounting for the interference from all other cells. We use tools from stochastic geometry and point process theory to analyze the two hop schemes. Besides the results obtained a main contribution of the paper is to introduce a mathematical framework that can be used to analyze arbitrary relaying schemes. Some of the main contributions of this paper are the analytical techniques introduced for the inclusion of the spatial locations of the nodes into the mathematical analysis.