Advances in Applied Probability

A cellular network model with Ginibre configured base stations

Naoto Miyoshi and Tomoyuki Shirai

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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.


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