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Master thesis at TU Berlin with Wolfgang K\"{o}nig, April 2016. We investigate a wireless network where the users are located according to a Poisson point process in a bounded subset of R^d, in the high-density limit. Assuming that the…

Probability · Mathematics 2016-06-22 András József Tóbiás

A network of n communication links, operating over a shared wireless channel, is considered. Fading is assumed to be the dominant factor affecting the strength of the channels between transmitter and receiver terminals. It is assumed that…

Information Theory · Computer Science 2016-11-17 Masoud Ebrahimi , Mohammad A. Maddah-Ali , Amir K. Khandani

Coverage and connectivity both are important in wireless sensor network (WSN). Coverage means how well an area of interest is being monitored by the deployed network. It depends on sensing model that has been used to design the network…

Information Theory · Computer Science 2014-06-06 Ashraf Hossain , Rashmita Mishra

Information theoretic secrecy is combined with cryptographic secrecy to create a secret-key exchange protocol for wireless networks. A network of transmitters, which already have cryptographically secured channels between them, cooperate to…

Cryptography and Security · Computer Science 2016-11-15 Toni Draganov Stojanovski , Ninoslav Marina

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

Under different assumptions on the distribution of the fading random variables, we derive large deviation estimates for the tail of the interference in a wireless network model whose nodes are placed, over a bounded region of the plane,…

Information Theory · Computer Science 2014-01-23 Giovanni Luca Torrisi , Emilio Leonardi

In this paper we consider point processes specified on directed linear networks, i.e. linear networks with associated directions. We adapt the so-called conditional intensity function used for specifying point processes on the time line to…

Statistics Theory · Mathematics 2019-01-03 Jakob G. Rasmussen , Heidi S. Christensen

Spectral efficiency analysis in presence of correlated interfering signals is very important in modern generation wireless networks where there is aggressive frequency reuse with a dense deployment of access points. However, most works…

Information Theory · Computer Science 2020-03-16 Aritra Chatterjee , Sandeep Mukherjee , Suvra Sekhar Das

We present a propagation model showing that a transmitter randomly positioned in space generates unbounded peaks in the histogram of the resulting power, provided the signal strength is an oscillating or non-monotonic function of distance.…

Information Theory · Computer Science 2026-01-29 H. Paul Keeler

The edges in networks are not only binary, either present or absent, but also take weighted values in many scenarios (e.g., the number of emails between two users). The covariate-$p_0$ model has been proposed to model binary directed…

Statistics Theory · Mathematics 2021-07-24 MengXu , Qiuping Wang

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

The presence of people can be detected by passively observing the signal strength of Wifi and related forms of communication. This paper tackles the question of how and when can this be prevented by adjustments to the transmitted signal…

Networking and Internet Architecture · Computer Science 2021-12-22 Mingxuan Han , Jeff M. Phillips , Sneha Kumar Kasera

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

Recent work on the internet, social networks, and the power grid has addressed the resilience of these networks to either random or targeted deletion of network nodes. Such deletions include, for example, the failure of internet routers or…

Statistical Mechanics · Physics 2009-10-31 D. S. Callaway , M. E. J. Newman , S. H. Strogatz , D. J. Watts

This paper studies the performance of antenna array processing in distributed multiple access networks without power control. The interference is represented as a Poisson point process. Desired and interfering signals are subject to both…

Information Theory · Computer Science 2016-11-17 Olfa Ben Sik Ali , Christian Cardinal , Francois Gagnon

We investigate spatial random graphs defined on the points of a Poisson process in $d$-dimensional space, which combine scale-free degree distributions and long-range effects. Every Poisson point is assigned an independent weight. Given the…

Probability · Mathematics 2024-04-23 Peter Gracar , Lukas Lüchtrath , Peter Mörters

Shot noise processes are used in applied probability to model a variety of physical systems in, for example, teletraffic theory, insurance and risk theory and in the engineering sciences. In this work we prove a large deviation principle…

Probability · Mathematics 2016-04-18 Amarjit Budhiraja , Pierre Nyquist

We study an inhomogeneous random connection model in the connectivity regime. The vertex set of the graph is a homogeneous Poisson point process $\mathcal{P}_s$ of intensity $s>0$ on the unit cube…

Probability · Mathematics 2021-06-23 Srikanth K. Iyer , Sanjoy Kr. Jhawar

In this paper, we consider the problem of modelling the average delay in an IEEE 802.11 DCF wireless mesh network with a single root node under light traffic. We derive expression for mean delay for a co-located wireless mesh network, when…

Networking and Internet Architecture · Computer Science 2010-09-06 Albert Sunny , Joy Kuri , Saurabh Aggarwal

This paper presents an unusual view of interference wireless networks based on complex system thinking. To proceed with this analysis, a literature review of the different applications of complex systems is firstly presented to illustrate…

Information Theory · Computer Science 2013-03-13 Pedro H. J. Nardelli , Paulo Cardieri , William A. Kretzschmar , Matti Latva-aho