### 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 language | English |
---|---|

Pages (from-to) | 832-845 |

Number of pages | 14 |

Journal | Advances in Applied Probability |

Volume | 46 |

Issue number | 3 |

DOIs | |

Publication status | Published - Sep 1 2014 |

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### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Applied Mathematics

### Cite this

*Advances in Applied Probability*,

*46*(3), 832-845. https://doi.org/10.1239/aap/1409319562

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

Research output: Contribution to journal › Article

*Advances in Applied Probability*, vol. 46, no. 3, pp. 832-845. https://doi.org/10.1239/aap/1409319562

}

TY - JOUR

T1 - A cellular network model with Ginibre configured base stations

AU - Miyoshi, Naoto

AU - Shirai, Tomoyuki

PY - 2014/9/1

Y1 - 2014/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84903219592&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903219592&partnerID=8YFLogxK

U2 - 10.1239/aap/1409319562

DO - 10.1239/aap/1409319562

M3 - Article

AN - SCOPUS:84903219592

VL - 46

SP - 832

EP - 845

JO - Advances in Applied Probability

JF - Advances in Applied Probability

SN - 0001-8678

IS - 3

ER -