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In this paper, we consider the downlink signal-to-interference-plus-noise ratio (SINR) analysis in a heterogeneous cellular network with K tiers. Each tier is characterized by a base-station (BS) arrangement according to a homogeneous…

Information Theory · Computer Science 2016-11-18 Prasanna Madhusudhanan , Juan G. Restrepo , Youjian , Liu , Timothy X. Brown

We analyze a class of Signal-to-Interference-and-Noise-Ratio (SINR) random graphs. These random graphs arise in the modeling packet transmissions in wireless networks. In contrast to previous studies on the SINR graphs, we consider both a…

Probability · Mathematics 2013-02-05 Francois Baccelli , Bartlomiej Blaszczyszyn , Mir Omid Haji Mirsadeghi

This paper presents a stochastic geometry model for the investigation of fundamental information theoretic limitations in wireless networks. We derive a new unified multi-parameter cut-set bound on the capacity of networks of arbitrary…

Information Theory · Computer Science 2013-05-02 Georgios Rodolakis

In this paper, we introduce a novel mathematical framework for assessing the performance of joint communication and sensing (JCAS) in wireless networks, employing stochastic geometry as an analytical tool. We focus on deriving the meta…

Information Theory · Computer Science 2024-04-03 Kun Ma , Chenyuan Feng , Giovanni Geraci , Howard H. Yang

This paper studies the asymptotic properties of average area spectral efficiency (ASE) of a downlink cellular network in the limit of very dense base station (BS) and user densities. This asymptotic analysis relies on three assumptions: (1)…

Information Theory · Computer Science 2018-04-13 Ahmad AlAmmouri , Jeffrey G. Andrews , Francois Baccelli

The non-asymptotic tail bounds of random variables play crucial roles in probability, statistics, and machine learning. Despite much success in developing upper bounds on tail probability in literature, the lower bounds on tail…

Probability · Mathematics 2020-09-08 Anru R. Zhang , Yuchen Zhou

We consider a Markov modulated fluid network with a finite number of stations. We are interested in the tail asymptotics behavior of the stationary distribution of its buffer content process. Using two different approaches, we derive upper…

Probability · Mathematics 2020-09-29 Masakiyo Miyazawa

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

Wireless networks are fundamentally limited by the intensity of the received signals and by their inherent interference. It is shown here that in finite ad hoc networks where node placement is modelled according to a Poisson point process…

Networking and Internet Architecture · Computer Science 2015-04-09 Orestis Georgiou , Shanshan Wang , Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon

In this paper, the feasibility of adopting an intelligent reflective surface (IRS) in a cell-free wireless communication system is studied. The received signal-to-noise ratio (SNR) for this IRS-enabled cell-free set-up is optimized by…

Signal Processing · Electrical Eng. & Systems 2021-09-28 Diluka Loku Galappaththige , Dhanushka Kudathanthirige , Gayan Amarasuriya

In this paper, a comprehensive performance analysis of a distributed intelligent reflective surfaces (IRSs)-aided communication system is presented. First, the optimal signal-to-noise ratio (SNR), which is attainable through the direct and…

Information Theory · Computer Science 2022-02-10 Diluka Loku Galappaththige , Dhanushka Kudathanthirige , Gayan Amarasuriya Aruma Baduge

This paper derives Gaussian approximation bounds for the standardized aggregate wireless interference (AWI) in the downlink of K-tier heterogeneous cellular networks when base stations in each tier are distributed over the plane according…

Information Theory · Computer Science 2016-02-05 Serkan Ak , Hazer Inaltekin , H. Vincent Poor

Statistical characterization of the signal-to-interference-plus-noise ratio (SINR) via its cumulative distribution function (CDF) is ubiquitous in a vast majority of technical contributions in the area of cellular networks since it boils…

Information Theory · Computer Science 2017-06-05 Imène Trigui , Sofiène Affes , Ben Liang

Stochastic networks with complex structures are key modelling tools for many important applications. In this paper, we consider a specific type of network: the retrial queueing systems with priority. This type of queueing system is…

Probability · Mathematics 2019-01-17 Bin Liu , Yiqiang Q. Zhao

In Part I of this paper, we presented a mathematical model for communication subject to both network interference and noise, where the interferers are scattered according to a spatial Poisson process, and are operating asynchronously in a…

Information Theory · Computer Science 2016-11-17 Pedro C. Pinto , Moe Z. Win

It's well-known that in a traditional discrete-time autonomous linear systems, the eigenvalues of the weigth (system) matrix solely determine the stability of the system. If the spectral radius of the system matrix is larger than 1, then…

Data Analysis, Statistics and Probability · Physics 2009-03-18 Zekeriya Uykan

The Poisson bipolar model considers user-base station pairs distributed at random on a flat domain, similar to matchsticks scattered onto a table. Though this is a simple and tractable setting in which to study dense networks, it doesn't…

Disordered Systems and Neural Networks · Physics 2022-03-01 Alexander P. Kartun-Giles , Konstantinos Koufos , Sunwoo Kim

We consider stochastic cellular networks where base stations locations form a homogenous Poisson point process and each mobile is attached to the base station that provides the best mean signal power. The mobile is in outage if the SINR…

Probability · Mathematics 2010-09-03 Laurent Decreusefond , Philippe Martins , Than-Tung Vu

A network belongs to the monotone separable class if its state variables are homogeneous and monotone functions of the epochs of the arrival process. This framework contains several classical queueing network models, including generalized…

Probability · Mathematics 2007-05-23 Marc Lelarge

Precise characterization of the mutual information of MIMO systems is required to assess the throughput of wireless communication channels in the presence of Rician fading and spatial correlation. Here, we present an asymptotic approach…

Information Theory · Computer Science 2016-11-17 Giorgio Taricco