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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

This paper evaluates the downlink performance of cellular networks in terms of coverage and electromagnetic field exposure (EMFE), in the framework of stochastic geometry. The model is constructed based on datasets for sub-6~GHz macro…

Networking and Internet Architecture · Computer Science 2024-10-28 Quentin Gontier , Charles Wiame , Shanshan Wang , Marco Di Renzo , Joe Wiart , François Horlin , Christo Tsigros , Claude Oestges , Philippe De Doncker

This paper develops a new approach to the modeling and analysis of HetNets that accurately incorporates coupling across the locations of users and base stations, which exists due to the deployment of small cell base stations (SBSs) at the…

Information Theory · Computer Science 2017-04-18 Mehrnaz Afshang , Harpreet S. Dhillon

In this letter, we characterize the performance of broadcast approach with continuum of transmission layers in random wireless networks where the channel state information (CSI) is assumed to be known only at the receiver. By modeling the…

Information Theory · Computer Science 2019-04-09 Praful D. Mankar , Harpreet S. Dhillon

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

We study computational aspects of repulsive Gibbs point processes, which are probabilistic models of interacting particles in a finite-volume region of space. We introduce an approach for reducing a Gibbs point process to the hard-core…

Data Structures and Algorithms · Computer Science 2023-12-15 Tobias Friedrich , Andreas Göbel , Maximilian Katzmann , Martin Krejca , Marcus Pappik

The telegraph process models a random motion with finite velocity and it is usually proposed as an alternative to diffusion models. The process describes the position of a particle moving on the real line, alternatively with constant…

Statistics Theory · Mathematics 2008-12-02 Alessandro De Gregorio , Stefano M. Iacus

The generalization of the Dyson Brownian Motion approach of random matrices to Anderson Localization (AL) models [Chalker, Lerner and Smith PRL 77, 554 (1996)] and to Many-Body Localization (MBL) Hamiltonians [Serbyn and Moore…

Disordered Systems and Neural Networks · Physics 2016-03-22 Cecile Monthus

We give numerically tractable, explicit integral expressions for the distribution of the signal-to-interference-and-noise-ratio (SINR) experienced by a typical user in the down-link channel from the k-th strongest base stations of a…

Networking and Internet Architecture · Computer Science 2014-01-17 Holger Paul Keeler , Bartlomiej Blaszczyszyn , Mohamed Kadhem Karray

Living cells are the product of gene expression programs that involve the regulated transcription of thousands of genes. The elucidation of transcriptional regulatory networks in thus needed to understand the cell's working mechanism, and…

Quantitative Methods · Quantitative Biology 2011-02-21 Fantine Mordelet , Jean-Philippe Vert

In cellular networks, base stations broadcast configurations that devices use for the random access procedure, which is a vital part of the connection setup. Ideally, the network should choose configurations based on the deployment scenario…

Networking and Internet Architecture · Computer Science 2026-04-13 Joris Belder , Anup Bhattacharjee , Fernando Kuipers

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

Signal-to-noise-plus-interference ratio (SINR) outage probability is among one of the key performance metrics of a wireless cellular network. In this paper, we propose a semi-analytical method based on saddle point approximation (SPA)…

Information Theory · Computer Science 2017-05-03 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

We develop a model based on a generalised Poisson-Dirichlet distribution for the analysis of genetic diversity, and illustrate its use on microsatellite data for the genus Dasyurus (the quoll, a marsupial carnivore listed as near-threatened…

Applications · Statistics 2019-05-01 Yuguang F. Ipsen , Soudabeh Shemehsavar , Ross A. Maller

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

In this work we consider the problem of an optimal geographic placement of content in wireless cellular networks modelled by Poisson point processes. Specifically, for the typical user requesting some particular content and whose popularity…

Networking and Internet Architecture · Computer Science 2016-01-29 Bartlomiej Blaszczyszyn , Anastasios Giovanidis

The nearest-neighbor level-spacing distributions are a fundamental quantity of disordered systems and universal. It is well-known that extended and localized states of random Hermitian systems follow the Wigner-Dyson and the Poison…

Disordered Systems and Neural Networks · Physics 2022-08-23 C. Wang , X. R. Wang

We consider a point process $i+\xi_i$, where $i\in \bZ$ and the $\xi_{i}$'s are i.i.d. random variables with variance $\sigma^{2}$. This process, with a suitable rescaling of the distribution of $\xi_i$'s, converges to the Poisson process…

Probability · Mathematics 2009-02-11 G. Guadagni , S. Ndreca , B. Scoppola

One of the principal underlying assumptions of current approaches to the analysis of heterogeneous cellular networks (HetNets) with random spatial models is the uniform distribution of users independent of the base station (BS) locations.…

Information Theory · Computer Science 2017-05-19 Chiranjib Saha , Mehrnaz Afshang , Harpreet S. Dhillon

Burke's theorem can be seen as a fixed-point result for an exponential single-server queue; when the arrival process is Poisson, the departure process has the same distribution as the arrival process. We consider extensions of this result…

Probability · Mathematics 2010-03-17 James B. Martin , Balaji Prabhakar
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