A Cellular Network Model with Ginibre Configured Base Stations

DOI10.1239/aap/1409319562zbMath1330.60066OpenAlexW2065735671MaRDI QIDQ3191825

Naoto Miyoshi, Tomoyuki Shirai

Publication date: 25 September 2014

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aap/1409319562

zbMATH Keywords

cellular networkcoverage probabilitydeterminantal point processwireless communication networkGinibre point processsignal-to-interference-plus-noise ratiostochastic geometry model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Communication networks in operations research (90B18) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (14)

Limit theorems for persistence diagrams ⋮ Noncolliding system of continuous-time random walks ⋮ Mixing properties and central limit theorem for associated point processes ⋮ On simulation of continuous determinantal point processes ⋮ Asymptotic approximation of the likelihood of stationary determinantal point processes ⋮ Rescaled weighted determinantal random balls ⋮ On a few statistical applications of determinantal point processes ⋮ Macroscopic analysis of determinantal random balls ⋮ Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models ⋮ A note on the simulation of the Ginibre point process ⋮ Quantifying repulsiveness of determinantal point processes ⋮ Palm theory, random measures and Stein couplings ⋮ Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes ⋮ Normal approximation for associated point processes via Stein's method with applications to determinantal point processes

Cites Work

• Unnamed Item
• On the spectra of Gaussian matrices
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• Determinantal random point fields
• Stochastic Geometry for Wireless Networks
• Stochastic Geometry and Wireless Networks: Volume I Theory
• Stochastic Geometry and Wireless Networks: Volume II Applications
• Series Expansion for Interference in Wireless Networks

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