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Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks but has largely focused on convex deployment regions. We consider here a scenario of practical importance to…

Networking and Internet Architecture · Computer Science 2017-06-29 Orestis Georgiou , Mohammud Z. Bocus , Mohammed R. Rahman , Carl P. Dettmann , Justin P. Coon

Many networks have nodes located in physical space, with links more common between closely spaced pairs of nodes. For example, the nodes could be wireless devices and links communication channels in a wireless mesh network. We describe…

Networking and Internet Architecture · Computer Science 2019-02-14 Carl Dettmann , Orestis Georgiou , Pete Pratt

Many complex networks exhibit a percolation transition involving a macroscopic connected component, with universal features largely independent of the microscopic model and the macroscopic domain geometry. In contrast, we show that the…

Disordered Systems and Neural Networks · Physics 2017-06-29 Justin Coon , Carl P. Dettmann , Orestis Georgiou

An emerging and promising vision of wireless networks consists of coating the environmental objects with reconfigurable metasurfaces that are capable of modifying the radio waves impinging upon them according to the generalized law of…

Information Theory · Computer Science 2019-01-07 M. Di Renzo , J. Song

We consider the probability that a dense wireless network confined within a given convex geometry is fully connected. We exploit a recently reported theory to develop a systematic methodology for analytically characterizing the connectivity…

Networking and Internet Architecture · Computer Science 2014-03-19 Justin P. Coon , Orestis Georgiou , Carl P. Dettmann

In this paper, we study the probability that a dense network confined within a given geometry is fully connected. We employ a cluster expansion approach often used in statistical physics to analyze the effects that the boundaries of the…

Networking and Internet Architecture · Computer Science 2012-01-20 Justin P. Coon , Carl P. Dettmann , Orestis Georgiou

The analytical characterization of coverage probability in finite three-dimensional wireless networks has long remained an open problem, hindered by the loss of spatial independence in finite-node settings and the coupling between link…

Networking and Internet Architecture · Computer Science 2025-11-03 Yunfeng Jiang , Zhiming Huang , Jianping Pan

We develop a cluster expansion for the probability of full connectivity of high density random networks in confined geometries. In contrast to percolation phenomena at lower densities, boundary effects, which have previously been largely…

Disordered Systems and Neural Networks · Physics 2015-06-03 Justin Coon , Carl P. Dettmann , Orestis Georgiou

Ad-hoc networks are often deployed in regions with complicated boundaries. We show that if the boundary is modeled as a fractal, a network requiring line of sight connections has the counterintuitive property that increasing the number of…

Networking and Internet Architecture · Computer Science 2016-04-26 Carl P. Dettmann , Orestis Georgiou , Justin P. Coon

Like other social animals and biological systems, human groups constantly exchange information. Network models provide a way of quantifying this process by representing the pathways of information propagation between individuals. Existing…

Social and Information Networks · Computer Science 2024-10-18 Niek Kerssies , Jose Segovia Martin , James Winters

A method is described for the determination of the effective electromagnetic parameters of a metamaterial based only on external measurements or simulations, taking boundary effects at the interfaces between a conventional material and…

Classical Physics · Physics 2015-05-20 Sung Kim , Edward F. Kuester , Christopher L. Holloway , Aaron D. Scher , James Baker-Jarvis

We study the effect of stochastic wireless channel models on the connectivity of ad hoc networks. Unlike in the deterministic geometric disk model where nodes connect if they are within a certain distance from each other, stochastic models…

Networking and Internet Architecture · Computer Science 2014-01-29 Orestis Georgiou , Carl P. Dettmann , Justin P. Coon

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 address the connectivity of large-scale ad hoc heterogeneous wireless networks, where secondary users exploit channels temporarily unused by primary users and the existence of a communication link between two secondary users depends on…

Networking and Internet Architecture · Computer Science 2009-08-10 Wei Ren , Qing Zhao , Ananthram Swami

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

While the wireless word moves towards higher frequency bands, new challenges arises, due to the inherent characteristics of the transmission links, such as high path and penetration losses. Penetration losses causes blockages that in turn…

Signal Processing · Electrical Eng. & Systems 2024-11-19 Evangelos Koutsonas , Alexandros-Apostolos A. Boulogeorgos , Stylianos E. Trevlakis , Tanweer Ali , Theodoros A. Tsiftis

Wireless networks are characterized by a dynamic topology triggered by the nodes mobility. Thus, the wireless multi-hops connection and the channel do not have a determinist behaviour such as: interference or multiple paths. Moreover, the…

Networking and Internet Architecture · Computer Science 2012-02-09 A. Rhattoy , A. Zatni

Nodes in ad hoc networks with randomly oriented directional antenna patterns typically have fewer short links and more long links which can bridge together otherwise isolated subnetworks. This network feature is known to improve overall…

Information Theory · Computer Science 2017-06-29 Orestis Georgiou , Carl P. Dettmann , Justin P. Coon

Network connectivity is usually addressed for convex domains where a direct line of sight exists between any two transmitting/receiving nodes. Here, we develop a general theory for the network connectivity properties across a small opening,…

Disordered Systems and Neural Networks · Physics 2013-12-13 Orestis Georgiou , Carl P. Dettmann , Justin Coon

This paper analyzes the outage performance in finite wireless networks. Unlike most prior works, which either assumed a specific network shape or considered a special location of the reference receiver, we propose two general frameworks for…

Information Theory · Computer Science 2016-08-19 Jing Guo , Salman Durrani , Xiangyun Zhou
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