English

A case study on regularity in cellular network deployment

Probability 2016-08-08 v1 Networking and Internet Architecture

Abstract

This paper aims to validate the β\beta-Ginibre point process as a model for the distribution of base station locations in a cellular network. The β\beta-Ginibre is a repulsive point process in which repulsion is controlled by the β\beta parameter. When β\beta tends to zero, the point process converges in law towards a Poisson point process. If β\beta equals to one it becomes a Ginibre point process. Simulations on real data collected in Paris (France) show that base station locations can be fitted with a β\beta-Ginibre point process. Moreover we prove that their superposition tends to a Poisson point process as it can be seen from real data. Qualitative interpretations on deployment strategies are derived from the model fitting of the raw data.

Cite

@article{arxiv.1505.06073,
  title  = {A case study on regularity in cellular network deployment},
  author = {Jean-Sébastien Gomez and Aurélien Vasseur and Anaïs Vergne and Philippe Martins and Laurent Decreusefond and Wei Chen},
  journal= {arXiv preprint arXiv:1505.06073},
  year   = {2016}
}
R2 v1 2026-06-22T09:39:30.636Z