The Ginibre Point Process as a Model for Wireless Networks With Repulsion
TLDR
The β-GPP is introduced and promoted, which is an intermediate class between the PPP and the GPP, as a model for wireless networks when the nodes exhibit repulsion and it is found that the fitted β- GPP can closely model the deployment of actual base stations in terms of coverage probability and other statistics.Abstract:
The spatial structure of transmitters in wireless networks plays a key role in evaluating mutual interference and, hence, performance. Although the Poisson point process (PPP) has been widely used to model the spatial configuration of wireless networks, it is not suitable for networks with repulsion. The Ginibre point process (GPP) is one of the main examples of determinantal point processes that can be used to model random phenomena where repulsion is observed. Considering the accuracy, tractability, and practicability tradeoffs, we introduce and promote the $\beta$ -GPP, which is an intermediate class between the PPP and the GPP, as a model for wireless networks when the nodes exhibit repulsion. To show that the model leads to analytically tractable results in several cases of interest, we derive the mean and variance of the interference using two different approaches: the Palm measure approach and the reduced second-moment approach, and then provide approximations of the interference distribution by three known probability density functions. In addition, to show that the model is relevant for cellular systems, we derive the coverage probability of a typical user and find that the fitted $\beta$ -GPP can closely model the deployment of actual base stations in terms of coverage probability and other statistics.read more
Citations
More filters
Journal ArticleDOI
Smart radio environments empowered by reconfigurable AI meta-surfaces: an idea whose time has come
Marco Di Renzo,Merouane Debbah,Dinh-Thuy Phan-Huy,Alessio Zappone,Mohamed-Slim Alouini,Chau Yuen,Vincenzo Sciancalepore,George C. Alexandropoulos,Jakob Hoydis,Haris Gacanin,Julien de Rosny,Ahcène Bounceur,Geoffroy Lerosey,Mathias Fink +13 more
TL;DR: This paper overviews the current research efforts on smart radio environments, the enabling technologies to realize them in practice, the need of new communication-theoretic models for their analysis and design, and the long-term and open research issues to be solved towards their massive deployment.
Journal ArticleDOI
Modeling and Analysis of Cellular Networks Using Stochastic Geometry: A Tutorial
TL;DR: In this article, a tutorial on stochastic geometry-based analysis for cellular networks is presented, which is distinguished by its depth with respect to wireless communication details and its focus on cellular networks.
Journal ArticleDOI
Terahertz-Enabled Wireless System for Beyond-5G Ultra-Fast Networks: A Brief Survey
Kazi Mohammed Saidul Huq,Sherif Adeshina Busari,Jonathan Rodriguez,Valerio Frascolla,Wael Bazzi,Douglas Sicker +5 more
TL;DR: A brief survey of the challenges and opportunities of THz band operation in wireless communication, along with some potential applications and future research directions is provided.
Journal ArticleDOI
A Vision and Framework for the High Altitude Platform Station (HAPS) Networks of the Future
Gunes Karabulut Kurt,Mohammad G. Khoshkholgh,Safwan Alfattani,Ahmed Ibrahim,Tasneem Darwish,Sahabul Alam,Halim Yanikomeroglu,Abbas Yongacoglu +7 more
TL;DR: A vision and framework for the HAPS networks of the future supported by a comprehensive and state-of-the-art literature review is provided and the unrealized potential of HAPS systems is highlighted and elaborate on their unique ability to serve metropolitan areas.
MonographDOI
Stochastic Geometry Analysis of Cellular Networks
TL;DR: Campbell’s formula for marked point processes, Campbell-Mecke theorem, and Cox point process convergence counting measure are cited.
References
More filters
Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Tables of Integrals, Series, and Products
Journal ArticleDOI
Tables of Integrals
TL;DR: In the fourth edition of the book as mentioned in this paper, the section on definite integrals has been considerably enlarged and a section added on integrals essentially of elliptic type, which is the case with the present edition.
Book
Stochastic Geometry for Wireless Networks
TL;DR: This rigorous introduction to stochastic geometry will enable you to obtain powerful, general estimates and bounds of wireless network performance and make good design choices for future wireless architectures and protocols that efficiently manage interference effects.
Journal ArticleDOI
Stochastic geometry and random graphs for the analysis and design of wireless networks
TL;DR: This tutorial article surveys some of these techniques based on stochastic geometry and the theory of random geometric graphs, discusses their application to model wireless networks, and presents some of the main results that have appeared in the literature.