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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 work we consider a dynamical cellular communication network in which mobile BSs are modeled as a homogeneous Poisson point process on $\mathbb R^2$. Each base station moves at a constant speed in a random direction. A typical user…

Probability · Mathematics 2026-05-19 Sanjoy Kumar Jhawar , François Baccelli

In this paper, how to optimally deploy base station density in a small cell network with energy-efficient power control was investigated. Base stations (BSs) and users form two independent Poisson point processes (PPPs) in the network.…

Information Theory · Computer Science 2015-02-20 Ching-Ting Peng , Li-Chun Wang , Chun-Hung Liu

An almost ubiquitous assumption made in the stochastic-analytic study of the quality of service in cellular networks is Poisson distribution of base stations. It is usually justified by various irregularities in the real placement of base…

Probability · Mathematics 2013-01-21 Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray , Holger Paul Keeler

The topology of base stations (BSs) in cellular networks, serving as a basis of networking performance analysis, is considered to be obviously distinctive with the traditional hexagonal grid or square lattice model, thus stimulating a…

Networking and Internet Architecture · Computer Science 2014-06-20 Qianlan Ying , Zhifeng Zhao , Yifan Zhou , Rongpeng Li , Xuan Zhou , Honggang Zhang

This study proposes a novel stochastic geometry framework analyzing power control strategies in spatially correlated network topologies. Heterogeneous networks are studied, with users modeled via the superposition of homogeneous and Poisson…

Signal Processing · Electrical Eng. & Systems 2024-02-23 Martin Willame , Charles Wiame , Jérôme Louveaux , Claude Oestges , Luc Vandendorpe

We consider a network model where small base stations (SBSs) have caching capabilities as a means to alleviate the backhaul load and satisfy users' demand. The SBSs are stochastically distributed over the plane according to a Poisson point…

Information Theory · Computer Science 2015-01-08 Ejder Baştuğ , Mehdi Bennis , Marios Kountouris , Mérouane Debbah

In coverage-oriented networks, base stations (BSs) are deployed in a way such that users at the cell boundaries achieve sufficient signal strength. The shape and size of cells vary from BS to BS, since the large-scale signal propagation…

Information Theory · Computer Science 2021-01-05 Ke Feng , Martin Haenggi

We consider the Voronoi tessellation based on a homogeneous Poisson point process in $\mathbf{R}^{d}$. For a geometric characteristic of the cells (e.g. the inradius, the circumradius, the volume), we investigate the point process of the…

Probability · Mathematics 2016-07-15 Nicolas Chenavier , Christian Robert

In this letter, we introduce a general cellular network model where i) users and BSs are distributed as two general point processes that may be coupled, ii) pathloss is assumed to follow a multi-slope power-law pathloss model, and iii)…

Information Theory · Computer Science 2018-03-01 Mehrnaz Afshang , Chiranjib Saha , Harpreet S. Dhillon

Poisson Voronoi tessellations have been used in modeling many types of systems across different sciences, from geography and astronomy to telecommunications. The existing literature on the statistical properties of Poisson Voronoi cells is…

Networking and Internet Architecture · Computer Science 2020-09-09 Konstantinos Koufos , Carl P. Dettmann

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

This paper deals with the typical cell in a Poisson line tessellation in the plane whose directional distribution is concentrated on three equally spread values with possibly different weights. Such a random polygon can only be a triangle,…

Probability · Mathematics 2023-09-25 Nils Heerten , Janina Hübner , Christoph Thäle

Cooperation in cellular networks is a promising scheme to improve system performance. Existing works consider that a user dynamically chooses the stations that cooperate for his/her service, but such assumption often has practical…

Networking and Internet Architecture · Computer Science 2016-11-09 Luis David Alvarez Corrales , Anastasios Giovanidis , Philippe Martins , Laurent Decreusefond

The performance of cellular system significantly depends on its network topology, where the spatial deployment of base stations (BSs) plays a key role in the downlink scenario. Moreover, cellular networks are undergoing a heterogeneous…

Networking and Internet Architecture · Computer Science 2014-11-11 Yifan Zhou , Zhifeng Zhao , Qianlan Ying , Rongpeng Li , Xuan Zhou , Xianfu Chen , Honggang Zhang

A heterogenous network with base stations (BSs), small base stations (SBSs) and users distributed according to independent Poisson point processes is considered. SBS nodes are assumed to possess high storage capacity and to form a…

Information Theory · Computer Science 2016-11-17 B. N. Bharath , K. G. Nagananda , H. Vincent Poor

In this paper, we consider a vehicular network in which the wireless nodes are located on a system of roads. We model the roadways, which are predominantly straight and randomly oriented, by a Poisson line process (PLP) and the locations of…

Information Theory · Computer Science 2017-09-26 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

Motivated by the fundamental problem of modeling the frequency of frequencies (FoF) distribution, this paper introduces the concept of a cluster structure to define a probability function that governs the joint distribution of a random…

Methodology · Statistics 2016-08-02 Mingyuan Zhou , Stefano Favaro , Stephen G Walker

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

This letter characterizes the exact distribution function of a typical Voronoi area in a $K$-tier Poisson network. The users obey a generalized association (GA) rule, which is a superset of nearest base station association and maximum…

Information Theory · Computer Science 2020-07-02 Washim Uddin Mondal , Goutam Das