Seasonal Statistics of Shannon Capacity in a Dynamical Poisson-Voronoi Cellular Network

TL;DR

This paper analyzes the seasonal fluctuations of Shannon capacity in a dynamic Poisson-Voronoi cellular network where base stations move randomly, affecting signal quality and handover events.

Contribution

It introduces a framework for evaluating system performance and capacity fluctuations in a mobile base station network modeled as a Poisson process.

Findings

Capacity varies with signal and interference power seasons.

Handover events correlate with capacity fluctuations.

Performance metrics differ across seasonal scenarios.

Abstract

In this work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. Each base station moves at a constant speed in a random direction. A typical user connects to the nearest base station and it experiences variable signal and interference powers depending on the distance of all the stations. Along the motion of the stations, the user swaps its serving station, and such an event is called a handover. We are interested in the performance evaluation of the system under some classical and tropical metrics of interest at different time of events, inducing handovers, maximal proximity of serving station, nearest interferer at closest or farthest distance with respect to the user or at any typical time epoch. A comparison study of quality of service and Shannon capacity at these epochs is also provided, among the recurrence of such ``good'' or ``bad'' scenarios. We can make an analogy with seasons based on the fluctuations of signal and interference power. Strong or mild signal or interference power correspond to different seasons of Shannon capacity along the evolution of the system.