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A case study on regularity in cellular network deployment

Abstract : 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
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Contributor : Laurent Decreusefond Connect in order to contact the contributor
Submitted on : Friday, April 24, 2015 - 2:49:50 PM
Last modification on : Monday, June 7, 2021 - 4:10:15 PM
Long-term archiving on: : Monday, September 14, 2015 - 1:16:34 PM


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  • HAL Id : hal-01145527, version 1
  • ARXIV : 1505.06073


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, IEEE comsoc, 2015, pp.4. ⟨hal-01145527⟩



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