A cellular network model with Ginibre configured base stations

Naoto Miyoshi, Tomoyuki Shirai

Research output: Contribution to journalArticle

41 Citations (Scopus)

Abstract

Stochastic geometry models for wireless communication networks have recently attracted much attention. This is because the performance of such networks critically depends on the spatial configuration of wireless nodes and the irregularity of the node configuration in a real network can be captured by a spatial point process. However, most analysis of such stochastic geometry models for wireless networks assumes, owing to its tractability, that the wireless nodes are deployed according to homogeneous Poisson point processes. This means that the wireless nodes are located independently of each other and their spatial correlation is ignored. In this work we propose a stochastic geometry model of cellular networks such that the wireless base stations are deployed according to the Ginibre point process. The Ginibre point process is one of the determinantal point processes and accounts for the repulsion between the base stations. For the proposed model, we derive a computable representation for the coverage probability-the probability that the signal-to-interference-plus-noise ratio (SINR) for a mobile user achieves a target threshold. To capture its qualitative property, we further investigate the asymptotics of the coverage probability as the SINR threshold becomes large in a special case. We also present the results of some numerical experiments.

Original languageEnglish
Pages (from-to)832-845
Number of pages14
JournalAdvances in Applied Probability
Volume46
Issue number3
DOIs
Publication statusPublished - Sep 1 2014

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Stochastic Geometry
Cellular Networks
Base stations
Network Model
Point Process
Coverage Probability
Vertex of a graph
Wireless Networks
Interference
Geometry
Spatial Point Process
Poisson Point Process
Configuration
Tractability
Qualitative Properties
Irregularity
Spatial Correlation
Wireless Communication
Communication Networks
Model

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Applied Mathematics

Cite this

A cellular network model with Ginibre configured base stations. / Miyoshi, Naoto; Shirai, Tomoyuki.

In: Advances in Applied Probability, Vol. 46, No. 3, 01.09.2014, p. 832-845.

Research output: Contribution to journalArticle

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