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Stochastic orders are binary relations defined on probability distributions which capture intuitive notions like being larger or being more variable. This paper introduces stochastic ordering of interference distributions in large-scale…

Information Theory · Computer Science 2012-10-26 Junghoon Lee , Cihan Tepedelenlioglu

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

Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complicated,…

Information Theory · Computer Science 2013-04-29 Robert W. Heath , Marios Kountouris , Tianyang Bai

In this paper, we analyze the signal-to-interference-plus-noise ratio (SINR) performance at a mobile station (MS) in a random cellular network. The cellular network is formed by base-stations (BSs) placed in a one, two or three dimensional…

Information Theory · Computer Science 2015-03-13 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian Liu , Timothy X Brown , Kenneth R. Baker

We introduce a simple yet powerful and versatile analytical framework to approximate the SIR distribution in the downlink of cellular systems. It is based on the mean interference-to-signal ratio and yields the horizontal gap (SIR gain)…

Information Theory · Computer Science 2014-06-12 Martin Haenggi

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

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

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

The problem of base station cooperation has recently been set within the framework of Stochastic Geometry. Existing works consider that a user dynamically chooses the set of stations that cooperate for his/her service. However, this…

Information Theory · Computer Science 2015-09-08 Anastasios Giovanidis , Luis David Alvarez Corrales , Laurent Decreusefond

As the use of automotive radar increases, performance limitations associated with radar-to-radar interference will become more significant. In this paper we employ tools from stochastic geometry to characterize the statistics of radar…

Information Theory · Computer Science 2016-07-11 Akram Al-Hourani , Robin J. Evans , Sithamparanathan Kandeepan , Bill Moran , Hamid Eltom

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

While analyzing mobile systems we often approximate the actual coverage surface and assume an ideal cell shape. In a multi-cellular network, because of its tessellating nature, a hexagon is more preferred than a circular geometry. Despite…

Information Theory · Computer Science 2013-06-04 Mouhamed Abdulla , Yousef R. Shayan

Multi-tier architecture improves the spatial reuse of radio spectrum in cellular networks, but it introduces complicated heterogeneity in the spatial distribution of transmitters, which brings new challenges in interference analysis. In…

Networking and Internet Architecture · Computer Science 2014-10-28 Wei Bao , Ben Liang

The intensity matching approach for tractable performance evaluation and optimization of cellular networks is introduced. It assumes that the base stations are modeled as points of a Poisson point process and leverages stochastic geometry…

Information Theory · Computer Science 2016-04-12 Marco Di Renzo , Wei Lu , Peng Guan

This paper analyzes an emerging architecture of cellular network utilizing both planar base stations uniformly distributed in Euclidean plane and base stations located on roads. An example of this architecture is that where, in addition to…

Information Theory · Computer Science 2017-12-01 Chang-Sik Choi , François Baccelli

Interference coordination improves data rates and reduces outages in cellular networks. Accurately evaluating the gains of coordination, however, is contingent upon using a network topology that models realistic cellular deployments. In…

Information Theory · Computer Science 2015-06-11 Salam Akoum , Robert W. Heath

Results are presented for optimizing device-to-device communications in cellular networks, while maintaining spectral efficiency of the base-station-to-device downlink channel. We build upon established and tested stochastic geometry models…

Networking and Internet Architecture · Computer Science 2017-05-04 Bartłomiej Błaszczyszyn , Paul Keeler , Paul Mühlethaler

In this paper, we analyze the performance of cellular networks and study the optimal base station (BS) density to reduce the network power consumption. In contrast to previous works with similar purpose, we consider Poisson traffic for…

Information Theory · Computer Science 2015-06-24 Zheng Chen , Ling Qiu

Stochastic orders are binary relations defined on probability distributions which capture intuitive notions like being larger or being more variable. This paper introduces stochastic ordering of instantaneous SNRs of fading channels as a…

Information Theory · Computer Science 2016-11-17 Cihan Tepedelenlioglu , Adithya Rajan , Yuan Zhang

We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the best mean signal power. The mobile is in outage if the SINR…

Probability · Mathematics 2010-09-03 Laurent Decreusefond , Philippe Martins , Than-Tung Vu
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