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In this paper, a novel Poisson hole process (PHP) modeling of wireless networks is proposed. We consider a more general hole shape, i.e. circular sector holes in a random direction, to capture the spatial separation between tiers in a…

Information Theory · Computer Science 2018-12-17 Mehdi Sattari , Aliazam Abbasfar

Future mobile networks are converging toward heterogeneous multi-tier networks, where various classes of base stations (BS) are deployed based on user demand. So it is quite necessary to utilize the BSs resources rationally when BSs are…

Signal Processing · Electrical Eng. & Systems 2018-02-28 Yuxuan Xie , Xuefei Zhang , Qimei Cui , Yanyan Lu

Heterogeneous cellular networks (HCNs) usually exhibit spatial separation amongst base stations (BSs) of different types (termed tiers in this paper). For instance, operators will usually not deploy a picocell in close proximity to a…

Information Theory · Computer Science 2017-04-11 Zeinab Yazdanshenasan , Harpreet S. Dhillon , Peter Han Joo Chong

Owing to its unparalleled tractability, the Poisson point process (PPP) has emerged as a popular model for the analysis of cellular networks. Considering a stationary point process of users, which is independent of the base station (BS)…

Information Theory · Computer Science 2019-08-29 Praful D. Mankar , Priyabrata Parida , Harpreet S. Dhillon , Martin Haenggi

The growing complexity of heterogeneous cellular networks (HetNets) has necessitated the need to consider variety of user and base station (BS) configurations for realistic performance evaluation and system design. This is directly…

Information Theory · Computer Science 2017-02-21 Chiranjib Saha , Mehrnaz Afshang , Harpreet S. Dhillon

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

This paper develops a framework to study multi-hop relaying in a vehicular network consisting of vehicles and Road Side Units (RSUs), and the effect of this relaying on the network coverage and the communication delay. We use a stochastic…

Information Theory · Computer Science 2020-06-23 Hussein A. Ammar , Abdel-karim Ajami , Hassan Artail

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

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

In small cell networks, high mobility of users results in frequent handoff and thus severely restricts the data rate for mobile users. To alleviate this problem, we propose to use heterogeneous, two-tier network structure where static users…

Networking and Internet Architecture · Computer Science 2020-07-22 Arpan Chattopadhyay , Bartłomiej Błaszczyszyn , Eitan Altman

In heterogeneous networks, the random deployment of femto access points (FAPs) and macro base stations (MBSs) with uncoordinated channel access impose huge inter-tier interferences. In real-life networks, the process of MBSs deployment…

Information Theory · Computer Science 2017-02-21 Praful D. Mankar , Goutam Das , S. S. Pathak

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

Statistical modeling of point patterns is an important and common problem in several areas. The Poisson process is the most common process used for this purpose, in particular, its generalization that considers the intensity function to be…

Methodology · Statistics 2021-02-26 Flavio B. Gonçalves , Livia M. Dutra , Roger W. C. Silva

This paper investigates a uncrewed aerial vehicles (UAV)-assisted cell-free architecture for vehicular networks in road-constrained environments. Roads are modeled using a Poisson Line Process (PLP), with multi-layer roadside access points…

Signal Processing · Electrical Eng. & Systems 2026-02-23 Chenrui Qiu , Yongxu Zhu , Bo Tan , George K. Karagiannidis , Tasos Dagiuklas

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

Although the Poisson point process (PPP) has been widely used to model base station (BS) locations in cellular networks, it is an idealized model that neglects the spatial correlation among BSs. The present paper proposes the use of…

Information Theory · Computer Science 2014-12-08 Yingzhe Li , François Baccelli , Harpreet S. Dhillon , Jeffrey G. Andrews

In a Poisson Point Process (PPP) network model, in which the locations of Base Stations (BSs) are randomly distributed according to a Spatial Poisson Process, has been recently used as a tractable stochastic model to analyse the performance…

Information Theory · Computer Science 2016-06-21 Sinh Cong Lam , Kumbesan Sandrasegaran

In this paper, we consider a novel cellular network for aerial users, which is composed of dedicated base stations (BSs), whose antennas are directed towards aerial users, and traditional terrestrial BSs (TBSs). Besides, the dedicated BSs…

Systems and Control · Electrical Eng. & Systems 2023-04-07 Yujie Qin , Mustafa A. Kishk , Mohamed-Slim Alouini

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

Little's law allows to express the mean user throughput in any region of the network as the ratio of the mean traffic demand to the steady-state mean number of users in this region. Corresponding statistics are usually collected in…

Networking and Internet Architecture · Computer Science 2014-03-25 Bartlomiej Blaszczyszyn , Miodrag Jovanovic , Mohamed Kadhem Karray