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The capability of nodes to broadcast their message to the entire wireless network when nodes employ cooperation is considered. We employ an asymptotic analysis using an extended random network setting and show that the broadcast performance…

Information Theory · Computer Science 2015-03-19 Cagatay Capar , Dennis Goeckel , Don Towsley

We introduce a model for capturing the effects of beam misdirection on coverage and throughput in a directional wireless network using stochastic geometry. In networks employing ideal sector antennas without sidelobes, we find that…

Information Theory · Computer Science 2015-01-06 Jeffrey Wildman , Pedro H J Nardelli , Matti Latva-aho , Steven Weber

This paper investigates the problem of Gaussian approximation for the wireless multi-access interference distribution in large spatial wireless networks. First, a principled methodology is presented to establish rates of convergence of the…

Probability · Mathematics 2015-06-04 Hazer Inaltekin

Bursty dynamics of agents is shown to appear at criticality or in extended Griffiths phases, even in case of Poisson processes. I provide numerical evidence for power-law type of inter-communication time distributions by simulating the…

Statistical Mechanics · Physics 2014-04-03 Géza Ódor

It appeared recently that the underlying degree distribution of networks may play a crucial role concerning their robustness. Empiric and analytic results have been obtained, based on asymptotic and mean-field approximations. Previous work…

Statistical Mechanics · Physics 2009-08-24 Clemence Magnien , Matthieu Latapy , Jean-Loup Guillaume

We propose and study a novel continuous space-time model for wireless networks which takes into account the stochastic interactions in both space through interference and in time due to randomness in traffic. Our model consists of an…

Information Theory · Computer Science 2018-08-21 Abishek Sankararaman , Francois Baccelli

Consider a dynamical network model featuring mobile stations on the Euclidean plane. The initial locations of the stations are given by a homogeneous Poisson point process. The stations are all moving at a constant speed and in a random…

Probability · Mathematics 2026-05-19 François Baccelli , Sanjoy Kumar Jhawar

A statistical model of interference in wireless networks is considered, which is based on the traditional propagation channel model and a Poisson model of random spatial distribution of nodes in 1-D, 2-D and 3-D spaces with both uniform and…

Information Theory · Computer Science 2009-06-01 Vladimir Mordachev , Sergey Loyka

Future wireless networks are expected to adopt many different network technologies and architectures that promise to greatly enhance data rate and provide ubiquitous coverage for end users, all while enabling higher spectral efficiency.…

Information Theory · Computer Science 2018-07-23 S. Talarico , M. C. Valenti , M. Di Renzo

This paper defines a new model which incorporates three key ingredients of a large class of wireless communication systems: (1) spatial interactions through interference, (2) dynamics of the queueing type, with users joining and leaving,…

Information Theory · Computer Science 2026-04-15 François Baccelli , Ke Feng , Sergey Foss

In wireless channels, the path loss exponent (PLE) has a strong impact on the quality of links, and hence, it needs to be accurately estimated for the efficient design and operation of wireless networks. In this paper, we address the…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

The emulation of wireless nodes spatial position is a practice used by deployment engineers and network planners to analyze the characteristics of a network. In particular, nodes geolocation will directly impact factors such as…

Information Theory · Computer Science 2013-06-06 Mouhamed Abdulla , Yousef R. Shayan

Based on a stationary Poisson point process, a wireless network model with random propagation effects (shadowing and/or fading) is considered in order to examine the process formed by the signal-to-interference-plus-noise ratio (SINR)…

Networking and Internet Architecture · Computer Science 2015-03-12 Bartlomiej Blaszczyszyn , Holger Paul Keeler

Cellular systems are becoming more heterogeneous with the introduction of low power nodes including femtocells, relays, and distributed antennas. Unfortunately, the resulting interference environment is also becoming more complicated,…

Information Theory · Computer Science 2013-04-29 Robert W. Heath , Marios Kountouris , Tianyang Bai

Networks play a central role in modern data analysis, enabling us to reason about systems by studying the relationships between their parts. Most often in network analysis, the edges are given. However, in many systems it is difficult or…

Machine Learning · Statistics 2014-02-06 Scott W. Linderman , Ryan P. Adams

This paper studies the performance and key structural properties of the optimum location-based relay selection policy for wireless networks consisting of homogeneous Poisson distributed relays. The distribution of the channel quality…

Signal Processing · Electrical Eng. & Systems 2021-07-13 Hazer Inaltekin , Saman Atapattu , Jamie S. Evans

Quality of service (QoS) provisioning in next-generation mobile communications systems entails a deep understanding of the delay performance. The delay in wireless networks is strongly affected by the traffic arrival process and the service…

Information Theory · Computer Science 2018-04-23 Marios Kountouris , Nikolaos Pappas , Apostolos Avranas

We consider the problem of localization of Poisson source by the observations of inhomogeneous Poisson processes. We suppose that there are $k$ detectors on the plane and each detector provides the observations of Poisson processes whose…

Statistics Theory · Mathematics 2018-06-19 Oleg V. Chernoyarov , Yury A. Kutoyants

We propose and prove a theorem that allows the calculation of a class of functionals on Poisson point processes that have the form of expected values of sum-products of functions. In proving the theorem, we present a variant of the…

Information Theory · Computer Science 2018-06-05 Udo Schilcher , Stavros Toumpis , Martin Haenggi , Alessandro Crismani , Günther Brandner , Christian Bettstetter

The dynamics of interference over space and time influences the performance of wireless communication systems, yet its features are still not fully understood. This article analyzes the temporal dynamics of the interference in Poisson…

Information Theory · Computer Science 2019-04-26 Udo Schilcher , Jorge F. Schmidt , Mahin K. Atiq , Christian Bettstetter