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Using unmanned aerial vehicles (UAVs) to enhance network coverage has proven a variety of benefits compared to terrestrial counterparts. One of the commonly used mathematical tools to model the locations of the UAVs is stochastic geometry…

Networking and Internet Architecture · Computer Science 2023-01-04 Ruibo Wang , Mustafa A. Kishk , Mohamed-Slim Alouini

We introduce the `nhppp' package for simulating events from one-dimensional non-homogeneous Poisson point processes (NHPPPs) in R fast and with a small memory footprint. We developed it to facilitate the sampling of event times in discrete…

Computation · Statistics 2024-05-30 Thomas A. Trikalinos , Yuliia Sereda

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

Data of the form of event times arise in various applications. A simple model for such data is a non-homogeneous Poisson process (NHPP) which is specified by a rate function that depends on time. We consider the problem of having access to…

Machine Learning · Computer Science 2018-06-22 Duncan Barrack , Simon Preston

3GPP LTE-Advanced has started a new study item to investigate Heterogeneous Network (HetNet) deployments as a cost effective way to deal with the unrelenting traffic demand. HetNets consist of a mix of macrocells, remote radio heads, and…

Networking and Internet Architecture · Computer Science 2015-03-19 David Lopez-Perez , Ismail Guvenc , Guillaume de la Roche , Marios Kountouris , Tony Q. S. Quek , Jie 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

A non-homogeneous Poisson cluster model is studied, motivated by insurance applications. The Poisson center process which expresses arrival times of claims, triggers off cluster member processes which correspond to number or amount of…

Probability · Mathematics 2013-12-02 Muneya Matsui

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

In this letter, we characterize the load on the cellular macro base stations (MBSs) due to vehicular users modeled by a Poisson line Cox process (PLCP). Modeling the locations of MBSs by a homogeneous 2D Poisson point process (PPP), we…

Information Theory · Computer Science 2020-08-05 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

In this paper, we analyze the downlink coverage probability and rate of an aerial user in vertical HetNets (VHetNets) comprising aerial base stations (aerial-BSs) and terrestrial-BSs. The locations of terrestrial-BSs are modeled as an…

Signal Processing · Electrical Eng. & Systems 2020-09-11 Nesrine Cherif , Mohamed Alzenad , Halim Yanikomeroglu , Abbas Yongacoglu

The support for aerial users has become the focus of recent 3GPP standardizations of 5G, due to their high maneuverability and flexibility for on-demand deployment. In this paper, probabilistic caching is studied for ultra-dense small-cell…

Signal Processing · Electrical Eng. & Systems 2020-03-31 Fei Song , Jun Li , Ming Ding , Long Shi , Feng Shu , Meixia Tao , Wen Chen , H. Vincent Poor

The point process of concurrent users is critical for the analysis of cellular networks, in particular for the uplink and for full-duplex communication. We analyze the properties of two popular models. For the first one, we provide an…

Information Theory · Computer Science 2016-11-28 Martin Haenggi

The paper introduces PDSP-Bench, a novel benchmarking system designed for a systematic understanding of performance of parallel stream processing in a distributed environment. Such an understanding is essential for determining how Stream…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-16 Pratyush Agnihotri , Boris Koldehofe , Roman Heinrich , Carsten Binnig , Manisha Luthra

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

In this paper, we consider a two-dimensional heterogeneous cellular network scenario consisting of one base station (BS) and some mobile stations (MSs) whose locations follow a Poisson point process (PPP). The MSs are equipped with multiple…

Networking and Internet Architecture · Computer Science 2016-06-24 Tao Han , Yu Feng , Jiang Wang , Lijun Wang , Qiang Li , Yujie Han

Recently heterogeneous base station structure has been adopted in cellular systems to enhance system throughput and coverage. In this paper, the uplink coverage probability for the heterogeneous cellular systems is analyzed and derived in…

Information Theory · Computer Science 2012-07-03 Haichuan Ding , Shaodan Ma , Chengwen Xing , Zesong Fei , Jingming Kuang

We propose a tunable location-dependent base station (BS) cooperation scheme by partitioning the plane into three regions: the cell centers, cell edges and cell corners. The area fraction of each region is tuned by the cooperation level…

Information Theory · Computer Science 2018-05-22 Ke Feng , Martin Haenggi

Deploying Sub-6GHz networks together with millimeter wave (mmWave) is a promising solution to achieve high data rates in traffic hotspots while guaranteeing sufficient coverage, where mmWave small cells are densely deployed to provide high…

Information Theory · Computer Science 2019-09-17 Minwei Shi , Kai Yang , Zhu Han , Dusit Niyato

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

Base station cooperation in heterogeneous wireless networks (HetNets) is a promising approach to improve the network performance, but it also imposes a significant challenge on backhaul. On the other hand, caching at small base stations…

Information Theory · Computer Science 2017-01-23 Wanli Wen , Ying Cui , Fu-Chun Zheng , Shi Jin , Yanxiang Jiang