## Advances in Applied Probability

- Adv. in Appl. Probab.
- Volume 46, Number 3 (2014), 832-845.

### A cellular network model with Ginibre configured base stations

Naoto Miyoshi and Tomoyuki Shirai

#### 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.

#### Article information

**Source**

Adv. in Appl. Probab., Volume 46, Number 3 (2014), 832-845.

**Dates**

First available in Project Euclid: 29 August 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aap/1409319562

**Digital Object Identifier**

doi:10.1239/aap/1409319562

**Mathematical Reviews number (MathSciNet)**

MR3254344

**Zentralblatt MATH identifier**

1330.60066

**Subjects**

Primary: 60G55: Point processes

Secondary: 90B18: Communication networks [See also 68M10, 94A05] 60D05: Geometric probability and stochastic geometry [See also 52A22, 53C65]

**Keywords**

Stochastic geometry model wireless communication network cellular network determinantal point process Ginibre point process signal-to-interference-plus-noise ratio coverage probability

#### Citation

Miyoshi, Naoto; Shirai, Tomoyuki. A cellular network model with Ginibre configured base stations. Adv. in Appl. Probab. 46 (2014), no. 3, 832--845. doi:10.1239/aap/1409319562. https://projecteuclid.org/euclid.aap/1409319562