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A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. We consider the the path-loss plus fading model of wireless signal…

Information Theory · Computer Science 2012-05-23 Rahul Vaze

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze

Signal-to-interference plus noise ratio (SINR) percolation is an infinite-range dependent variant of continuum percolation modeling connections in a telecommunication network. Unlike in earlier works, in the present paper the transmitted…

Probability · Mathematics 2020-10-06 Benedikt Jahnel , András Tóbiás

In this paper we study the connectivity problem for wireless networks under the Signal to Interference plus Noise Ratio (SINR) model. Given a set of radio transmitters distributed in some area, we seek to build a directed strongly connected…

Discrete Mathematics · Computer Science 2015-05-13 Chen Avin , Zvi Lotker , Francesco Pasquale , Yvonne-Anne Pignolet

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

The rules governing the availability and quality of connections in a wireless network are described by physical models such as the signal-to-interference & noise ratio (SINR) model. For a collection of simultaneously transmitting stations…

Networking and Internet Architecture · Computer Science 2008-12-10 Chen Avin , Yuval Emek , Erez Kantor , Zvi Lotker , David Peleg , Liam Roditty

The secrecy graph is a random geometric graph which is intended to model the connectivity of wireless networks under secrecy constraints. Directed edges in the graph are present whenever a node can talk to another node securely in the…

Probability · Mathematics 2012-08-15 Amites Sarkar , Martin Haenggi

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

Probability · Mathematics 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

We study the signal-to-interference ratio (SINR) percolation model for a stationary Cox point process in two or higher dimensions, in case of a bounded and integrable path-loss function. We show that if this function has compact support or…

Probability · Mathematics 2020-02-13 András Tóbiás

We study the performance of wireless links for a class of Poisson networks, in which packets arrive at the transmitters following Bernoulli processes. By combining stochastic geometry with queueing theory, two fundamental measures are…

Information Theory · Computer Science 2020-07-22 Howard H. Yang , Tony Q. S. Quek , H. Vincent Poor

Many complex networks in nature have directed links, a property that affects the network's navigability and large-scale topology. Here we study the percolation properties of such directed scale-free networks with correlated in- and…

Disordered Systems and Neural Networks · Physics 2009-11-07 N. Schwartz , R. Cohen , D. ben-Avraham , A. -L. Barabasi , S. Havlin

We consider protocols that serve communication requests arising over time in a wireless network that is subject to interference. Unlike previous approaches, we take the geometry of the network and power control into account, both allowing…

Networking and Internet Architecture · Computer Science 2012-03-07 Thomas Kesselheim

We study the problem of wireless network resilience to node failures from a percolation-based perspective. In practical wireless networks, it is often the case that the failure probability of a node depends on its degree (number of…

Networking and Internet Architecture · Computer Science 2009-08-28 Zhenning Kong , Edmund M. Yeh

We study the SIR ("susceptible, infected, removed/recovered") model on directed graphs with heterogeneous transmission probabilities within the message-passing approximation. We characterize the percolation transition, predict cluster size…

Physics and Society · Physics 2021-12-01 Christoph Widder , Tanja Schilling

The function of a real network depends not only on the reliability of its own components, but is affected also by the simultaneous operation of other real networks coupled with it. Robustness of systems composed of interdependent network…

Physics and Society · Physics 2015-07-10 Filippo Radicchi

We study the stability of wireless networks under stochastic arrival processes of packets, and design efficient, distributed algorithms that achieve stability in the SINR (Signal to Interference and Noise Ratio) interference model.…

Networking and Internet Architecture · Computer Science 2012-10-18 Eyjolfur I. Asgeirsson , Magnus M. Halldorsson , Pradipta Mitra

The traditional node percolation map of directed networks is reanalyzed in terms of edges. In the percolated phase, edges can mainly organize into five distinct giant connected components, interfaces bridging the communication of nodes in…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Angeles Serrano , Paolo De Los Rios

In this paper we study the topological properties of wireless communication maps and their usability in algorithmic design. We consider the SINR model, which compares the received power of a signal at a receiver against the sum of strengths…

Data Structures and Algorithms · Computer Science 2011-03-25 Erez Kantor , Zvi Lotker , Merav Parter , David Peleg

A key challenge in wireless networking is the management of interference between transmissions. Identifying which transmitters interfere with each other is a crucial first step. In this paper we cast the task of estimating the a wireless…

Information Theory · Computer Science 2016-12-19 Jing Yang , Stark Draper , Robert Nowak

With the increased competition for the electromagnetic spectrum, it is important to characterize the impact of interference in the performance of a wireless network, which is traditionally measured by its throughput. This paper presents a…

Networking and Internet Architecture · Computer Science 2010-07-19 Pedro C. Pinto , Moe Z. Win
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