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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

The interference in wireless networks is temporally correlated, since the node or user locations are correlated over time and the interfering transmitters are a subset of these nodes. For a wireless network where (potential) interferers…

Information Theory · Computer Science 2013-09-12 Martin Haenggi , Roxana Smarandache

We study the statistical behavior under random sequential renormalization(RSR) of several network models including Erd"os R'enyi (ER) graphs, scale-free networks and an annealed model (AM) related to ER graphs. In RSR the network is locally…

Statistical Mechanics · Physics 2011-12-22 Golnoosh Bizhani , Peter Grassberger , Maya Paczuski

Interference is a major impediment to the performance of a wireless network as it has a significant adverse impact on Network Capacity. There has been a gradual and consistent densification of WiFi networks due to Overlapping Basic Service…

Networking and Internet Architecture · Computer Science 2019-04-30 Srikant Manas Kala , Winston K. G. Seah , Vanlin Sathya , Betty Lala

We study the temporal percolation properties of temporal networks by taking as a representative example the recently proposed activity driven network model [N. Perra et al., Sci. Rep. 2, 469 (2012)]. Building upon an analytical framework…

Statistical Mechanics · Physics 2015-06-18 Michele Starnini , Romualdo Pastor Satorras

Coordinating the operations of separate wireless systems at the wavelength level can lead to significant improvements in wireless capabilities. We address a fundamental challenge in distributed radio frequency system cooperation -…

Signal Processing · Electrical Eng. & Systems 2020-10-21 Serge R. Mghabghab , Sean M. Ellison , Jeffrey A. Nanzer

Signal-strength models of wireless communications capture the gradual fading of signals and the additivity of interference. As such, they are closer to reality than other models. However, nearly all theoretic work in the SINR model depends…

Networking and Internet Architecture · Computer Science 2014-02-21 Marijke H. L. Bodlaender , Magnús M. Halldórsson

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

Distance-based attenuation is a critical aspect of wireless communications. As opposed to the ubiquitous power-law path loss model, this paper proposes a stretched exponential path loss model that is suitable for short-range communication.…

Information Theory · Computer Science 2017-11-22 Ahmad AlAmmouri , Jeffrey G. Andrews , François Baccelli

This work shows potentials for rapid self-organisation of sensor networks where nodes collaborate to relay messages to a common data collecting unit (sink node). The study problem is, in the sense of graph theory, to find a shortest path…

Networking and Internet Architecture · Computer Science 2010-05-20 Reinert Korsnes

The analysis of signal-to-interference ratios (SIRs) in wireless networks is instrumental to derive important performance metrics, including reliability, throughput, and delay. While a host of results on SIR distributions are now available,…

Information Theory · Computer Science 2020-03-10 Martin Haenggi

Directed and heterogeneous hypergraphs capture directional higher-order interactions with intrinsically asymmetric functional dependencies among nodes. As a result, damage to certain nodes can suppress entire hyperedges, whereas failure of…

Disordered Systems and Neural Networks · Physics 2026-01-29 Yunxue Sun , Xueming Liu , Ginestra Bianconi

This paper analyzes the throughput of an unlicensed wireless network where messages decoded in outage may be retransmitted. We assume that some wireless devices such as sensors are the unlicensed users, which communicate in the licensed…

Information Theory · Computer Science 2018-03-07 Iran Ramezanipour , Pedro H. J. Nardelli , Hirley Alves , Ari Pouttu

In modern wireless networks, devices are able to set the power for each transmission carried out. Experimental but also theoretical results indicate that such power control can improve the network capacity significantly. We study this…

Networking and Internet Architecture · Computer Science 2010-08-27 Thomas Kesselheim

Coherent dual-polarization (DP) optical transmission systems encode information on the four available degrees of freedom of an optical field: the two polarization states, each with two quadrature components. Such systems naturally operate…

Signal Processing · Electrical Eng. & Systems 2026-01-28 Zhiwei Liang , Bin Chen , Yi Lei , Gabriele Liga , Alex Alvarado

Scale-free percolation is a percolation model on $\mathbb{Z}^d$ which can be used to model real-world networks. We prove bounds for the graph distance in the regime where vertices have infinite degrees. We fully characterize transience vs.…

Probability · Mathematics 2018-01-11 Markus Heydenreich , Tim Hulshof , Joost Jorritsma

We obtain tight thresholds for bond percolation on one-dimensional small-world graphs, and apply such results to obtain tight thresholds for the \emph{Independent Cascade} process and the \emph{Reed-Frost} process in such graphs. These are…

Wireless Mesh Networks (WMNs) have evolved into a wireless communication technology of immense interest. But technological advancements in WMNs have inadvertently spawned a plethora of network performance bottlenecks, caused primarily by…

Networking and Internet Architecture · Computer Science 2016-01-29 Srikant Manas Kala , M. Pavan Kumar Reddy , Ranadheer Musham , Bheemarjuna Reddy Tamma

Using computer simulations, we have studied the percolation and the electrical conductance of two-dimensional, random percolating networks of curved, zero-width metallic nanowires. We mimicked the curved nanowires using circular arcs. The…

Statistical Mechanics · Physics 2023-05-01 Yuri Yu. Tarasevich , Andrei V. Eserkepov , Irina V. Vodolazskaya

In many real, directed networks, the strongly connected component of nodes which are mutually reachable is very small. This does not fit with current theory, based on random graphs, according to which strong connectivity depends on mean…

Disordered Systems and Neural Networks · Physics 2023-04-12 Niall Rodgers , Peter Tino , Samuel Johnson