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Assuming a network of infinite extent, several researchers have analyzed small-cell networks using a Poisson point process (PPP) location model, leading to simple analytic expressions. The general assumption has been that these results…

Information Theory · Computer Science 2015-12-11 S. Alireza Banani , Andrew W. Eckford , Raviraj S. Adve

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

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

We develop a model in which interactions between nodes of a dynamic network are counted by non homogeneous Poisson processes. In a block modelling perspective, nodes belong to hidden clusters (whose number is unknown) and the intensity…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

In heterogeneous networks (HetNets), load balancing among different tiers can be effectively achieved by a biased user association scheme with which each user chooses to associate with one base station (BS) based on the biased received…

Networking and Internet Architecture · Computer Science 2017-01-05 Fancheng Kong , Xinghua Sun , Victor C. M. Leung , Hongbo Zhu

Future wireless networks are required to support 1000 times higher data rate, than the current LTE standard. In order to meet the ever increasing demand, it is inevitable that, future wireless networks will have to develop seamless…

Information Theory · Computer Science 2015-06-23 Young Jin Chun , Mazen Omar Hasna , Ali Ghrayeb , Marco Di Renzo

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 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

Cellular networks are in a major transition from a carefully planned set of large tower-mounted base-stations (BSs) to an irregular deployment of heterogeneous infrastructure elements that often additionally includes micro, pico, and…

Information Theory · Computer Science 2016-11-18 Harpreet S. Dhillon , Radha Krishna Ganti , Francois Baccelli , Jeffrey G. Andrews

This paper studied the fundamental modeling defect existing in Poisson-distributed cellular networks in which all base stations form a homogeneous Poisson point process (PPP) of intensity $\lambda_B$ and all users form another independent…

Information Theory · Computer Science 2015-02-10 Chun-Hung Liu , Li-Chun Wang

In this paper, we consider a novel cache-enabled heterogeneous network (HetNet), where macro base stations (BSs) with traditional sub-6 GHz are overlaid by dense millimeter wave (mmWave) pico BSs. These two-tier BSs, which are modeled as…

Information Theory · Computer Science 2018-07-16 Wenqiang Yi , Yuanwei Liu , Arumugam Nallanathan

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

For real-time traffic, the link quality and call blocking probability (both derived from coverage probability) are realized to be poor for cell edge users (CEUs) compared to cell center users (CCUs) as the signal reception in the cell…

Information Theory · Computer Science 2017-03-10 Praful D. Mankar , Goutam Das , S. S. Pathak

The homogeneous Poisson point process (PPP) is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network, however, neglecting homophilic…

Information Theory · Computer Science 2017-05-01 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Rahim Tafazolli

In cellular networks, the densification of connected devices and base stations engender the ever-growing traffic intensity, and caching popular contents with smart management is a promising way to alleviate such consequences. Our research…

Information Theory · Computer Science 2021-03-25 Takehiro Ohashi

We propose a new cellular network model that captures both deterministic and random aspects of base station deployments. Namely, the base station locations are modeled as the superposition of two independent stationary point processes: a…

Information Theory · Computer Science 2017-10-03 Chang-Sik Choi , Jae Oh Woo , Jeffrey G. Andrews

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 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

In this letter, we derive the cumulative density function (CDF) of the nearest neighbor and contact distance distributions of the Matern cluster process (MCP) in R2. These results will be useful in the performance analysis of many…

Information Theory · Computer Science 2017-08-29 Mehrnaz Afshang , Chiranjib Saha , Harpreet S. Dhillon

In this work, we analyze the performance of the uplink (UL) of a cellular network where the base station (BS) locations follow a homogeneous Poisson point process (PPP), and the locations of users and BSs are spatially coupled. In order to…

Information Theory · Computer Science 2018-05-25 Priyabrata Parida , Harpreet S. Dhillon