A case study on regularity in cellular network deployment

Jean-Sébastien Gomez (1, 2) , Aurélien Vasseur (1) , Anaïs Vergne (1) , Philippe Martins (1) , Laurent Decreusefond (1) , Wei Chen (2)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 THU - Tsinghua University [Beijing]

This paper aims to validate the β-Ginibre point process as a model for the distribution of base station locations in a cellular network. The β-Ginibre is a repulsive point process in which repulsion is controlled by the β parameter. When β tends to zero, the point process converges in law towards a Poisson point process. If β 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-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.

Keywords: Determinantal

Domains: Mathematics [math]; Probability [math.PR]; Computer Science [cs]; Modeling and Simulation; Computer Science [cs]; Networking and Internet Architecture [cs.NI]

Jean-Sébastien Gomez, Aurélien Vasseur, Anaïs Vergne, Philippe Martins, Laurent Decreusefond, et al.. A case study on regularity in cellular network deployment. IEEE Wireless Communications Letters, 2015, pp.4. ⟨hal-01145527⟩