Analysis of a typical cell in the uplink cellular network model using stochastic simulation

Abstract

In this work we consider an uplink cellular network with the focus on a typical cell rather than the whole network. The base stations (BSs) and the users are distributed according to Poisson point processes (PPP) and the signals are transmitted at random power. The BSs’ serving area is formed according to the Voronoi diagram and the users are associated with a serving BS based on the shortest distance. One of the features of the system is that we primarily take into account the interference inside a d-dimensional ball of the average size of a typical Voronoi cell. In this work we mainly focus on the system stability and discuss a necessary stability condition, which is then studied by using stochastic simulation. We also discuss some properties of the network that can affect the stability and appear to be interesting and promising for the performance analysis of the system.