Cellular Networks with \(\alpha \)-Ginibre Configurated Base Stations

  • Naoto Miyoshi
  • Tomoyuki Shirai
Conference paper
Part of the Mathematics for Industry book series (MFI, volume 1)


We consider a cellular network model with base stations configurated according to the \(\alpha \)-Ginibre point process with \(\alpha \in (0,1]\), which is one of the determinantal point processes. In this model, we focus on the asymptotic behavior of the so-called coverage probability (or link success probability) as the threshold value tends to \(0\) and \(\infty \), and discuss the Padé approximation of the coverage probability at \(0\) and the dependence on \(\alpha \in (0,1]\) of the asymptotic constant at \(\infty \) both numerically and theoretically.


Cellular network Ginibre point process \(\alpha \)-Ginibre Determinantal point process SINR Coverage probability Padé approximation Stochastic geometry 



The authors would like to thank the referee for his/her comments. The first author (NM)’s work was supported in part by JSPS (Japan Society for the Promotion of Science) Grant-in-Aid for Scientific Research (C) 25330023. The second author (NM)’s work was supported in part by JSPS Grant-in-Aid for Scientific Research (B) 22340020.


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Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Department of Mathematical and Computing SciencesTokyo Institute of TechnologyTokyoJapan
  2. 2.Institute of Mathematics for IndustryKyushu UniversityFukuokaJapan

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