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This paper presents a tutorial on stochastic geometry (SG) based analysis for cellular networks. This tutorial is distinguished by its depth with respect to wireless communication details and its focus on cellular networks. The paper starts…

Information Theory · Computer Science 2016-11-15 Hesham ElSawy , Ahmed Sultan-Salem , Mohamed-Slim Alouini , Moe Z. Win

This tutorial is intended as an accessible but rigorous first reference for someone interested in learning how to model and analyze cellular network performance using stochastic geometry. In particular, we focus on computing the…

Information Theory · Computer Science 2016-10-06 Jeffrey G. Andrews , Abhishek K. Gupta , Harpreet S. Dhillon

In recent times, the use of stochastic geometry has become a popular and important tool for performance analysis of next-generation dense small cell wireless networks. Usually, such networks are modeled using 2 dimensional spatial Poisson…

Information Theory · Computer Science 2020-01-01 Aritra Chatterjee , Suvra Sekhar Das

We analyze the coverage probability of multi-user uplink cellular networks with fractional power control. We use a stochastic geometry approach where the mobile users are distributed as a Poisson Point Process (PPP), whereas the serving…

Information Theory · Computer Science 2020-04-02 F. Javier Martin-Vega , F. Javier Lopez-Martinez , Gerardo Gomez , Mari Carmen Aguayo-Torres

Due to the increasing heterogeneity and deployment density of emerging cellular networks, new flexible and scalable approaches for their modeling, simulation, analysis and optimization are needed. Recently, a new approach has been proposed:…

Information Theory · Computer Science 2015-06-15 Wei Lu , Marco Di Renzo

Due to their low latency, high capacity, and seamless worldwide coverage, low Earth orbit (LEO) satellites are essential to the equal access network. Stochastic geometry (SG) is an appropriate method for such a large and irregular system.…

Networking and Internet Architecture · Computer Science 2022-08-02 Yanbo Cao , Derui Gao , Jingyu Xu

To understand the spatial deployment of base stations (BSs) is the first step to analyze the performance of cellular networks and further design efficient networking protocols. Poisson point process (PPP), which has been widely adopted to…

Information Theory · Computer Science 2018-11-20 Rongpeng Li , Zhifeng Zhao , Yi Zhong , Chen Qi , Honggang Zhang

In this paper, a new mathematical framework to the analysis of millimeter wave cellular networks is introduced. Its peculiarity lies in considering realistic path-loss and blockage models, which are derived from recently reported…

Information Theory · Computer Science 2016-11-15 Marco Di Renzo

This paper studies the information-theoretic secrecy performance in large-scale cellular networks based on a stochastic geometry framework. The locations of both base stations and mobile users are modeled as independent two-dimensional…

Information Theory · Computer Science 2014-01-09 He Wang , Xiangyun Zhou , Mark C. Reed

Satellite networks are promising to provide ubiquitous and high-capacity global wireless connectivity. Traditionally, satellite networks are modeled by placing satellites on a grid of multiple circular orbit geometries. Such a network…

Information Theory · Computer Science 2022-08-10 Jeonghun Park , Jinseok Choi , Namyoon Lee

Multi-cell cooperation is a promising approach for mitigating inter-cell interference in dense cellular networks. Quantifying the performance of multi-cell cooperation is challenging as it integrates physical-layer techniques and network…

Information Theory · Computer Science 2011-03-23 Kaibin Huang , Jeffrey G. Andrews

Cooperation in cellular networks has been recently suggested as a promising scheme to improve system performance, especially for cell-edge users. In this work, we use stochastic geometry to analyze cooperation models where the positions of…

Information Theory · Computer Science 2015-02-11 Anastasios Giovanidis , Francois Baccelli

In this paper, we introduce an analytical framework to compute the average rate of downlink heterogeneous cellular networks. The framework leverages recent application of stochastic geometry to other-cell interference modeling and analysis.…

Information Theory · Computer Science 2016-11-18 Marco Di Renzo , Alessandro Guidotti , Giovanni E. Corazza

The need to carry out analytical studies of wireless systems often motivates the usage of simplified models which, despite their tractability, can easily lead to an overestimation of the achievable performance. In the case of dense small…

Information Theory · Computer Science 2015-06-08 Carlo Galiotto , Nuno K. Pratas , Nicola Marchetti , Linda Doyle

Motivated by the need for ubiquitous and reliable communications in post-disaster emergency management systems (EMSs), we hereby present a novel and efficient stochastic geometry (SG) framework. This mathematical model is specifically…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Maurilio Matracia , Mustafa A. Kishk , Mohamed-Slim Alouini

In this paper we provide an analytic framework for computing the expected downlink coverage probability, and the associated data rate of cellular networks, where base stations are distributed in a random manner. The provided expressions are…

Information Theory · Computer Science 2016-05-27 Akram Al-Hourani , Sithamparanathan Kandeepan

The performance of a cellular network can be significantly improved by employing many base stations (BSs), which shortens transmission distances. However, there exist no known results on quantifying the performance gains from deploying many…

Networking and Internet Architecture · Computer Science 2012-04-09 Seunghyun Lee , Kaibin Huang

There have been a bulk of analytic results about the performance of cellular networks where base stations are regularly located on a hexagonal or square lattice. This regular model cannot reflect the reality, and tends to overestimate the…

Networking and Internet Architecture · Computer Science 2015-03-19 Seung Min Yu , Seong-Lyun Kim

We consider a relay network based on Unmanned Aerial Vehicles (UAV). Terrestrial Base Stations (TBS) and UAV Relay Nodes (RN) are modelled using two Homogeneous Poisson Point Processes (HPPP). UAVs can hover at a fixed position or move…

Signal Processing · Electrical Eng. & Systems 2021-07-27 Francois De Saint Moulin , Charles Wiame , Claude Oestges , Luc Vandendorpe

As low Earth orbit (LEO) satellite communication systems are gaining increasing popularity, new theoretical methodologies are required to investigate such networks' performance at large. This is because deterministic and location-based…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Niloofar Okati , Taneli Riihonen , Dani Korpi , Ilari Angervuori , Risto Wichman
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