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Random geometric graphs consist of randomly distributed nodes (points), with pairs of nodes within a given mutual distance linked. In the usual model the distribution of nodes is uniform on a square, and in the limit of infinitely many…

Disordered Systems and Neural Networks · Physics 2018-09-27 Carl P. Dettmann

This paper considers signal detection in coexisting wireless sensor networks (WSNs). We characterize the aggregate signal and interference from a Poisson random field of nodes and define a binary hypothesis testing problem to detect a…

Information Theory · Computer Science 2013-06-12 Junghoon Lee , Cihan Tepedelenlioglu

We introduce a new way to sample inhomogeneous random graphs designed to have a lot of flexibility in the assignment of the degree sequence and the individual edge probabilities while remaining tractable. To achieve this we run a Poisson…

Probability · Mathematics 2020-03-03 Lorenzo Federico

We consider a noncoherent wireless network, where the transmitters and receivers are cognizant of the statistics of the fading coefficients, but are ignorant of their realizations. We demonstrate that if the nodes do not cooperate, if they…

Information Theory · Computer Science 2015-07-02 Grace Villacrés , Tobias Koch

This paper deals with the secrecy capacity of the radio channel in interference-limited regime. We assume that interferers are uniformly scattered over the network area according to a Point Poisson Process and the channel model consists of…

Information Theory · Computer Science 2015-06-23 Hirley Alves , Carlos H. M. de Lima , Pedro. H. J. Nardelli , Richard Demo Souza , Matti Latva-aho

In this work, based on a realization of an inhomogeneous Poisson process whose intensity function depends on a real unknown parameter, we consider a simple hypothesis against a sequence of close (contiguous) alternatives. Under certain…

Statistics Theory · Mathematics 2007-07-02 Khosrow Fazli

In this paper, we explore the use of multiple deep learning techniques to detect weak interference in WiFi networks. Given the low interference signal levels involved, this scenario tends to be difficult to detect. However, even…

Signal Processing · Electrical Eng. & Systems 2022-05-24 Andrew Adams , Richard F. Obrecht , Miller Wilt , Andrew Adams , Richard F. Obrecht , Miller Wilt , Daniel Barcklow , Bennett Blitz , Daniel Chew

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

In this paper, we consider a vehicular network in which the wireless nodes are located on a system of roads. We model the roadways, which are predominantly straight and randomly oriented, by a Poisson line process (PLP) and the locations of…

Information Theory · Computer Science 2017-09-26 Vishnu Vardhan Chetlur , Harpreet S. Dhillon

In this paper, we study the characteristics of dominant interference power with directional reception in a random network modelled by a Poisson Point Process. Additionally, the Laplace functional of cumulative interference excluding the $n$…

Information Theory · Computer Science 2020-03-04 Dong Liu , Baptiste Cavarec , Lars K. Rasmussen , Jing Yue

We study the number of isolated nodes in a soft random geometric graph whose vertices constitute a Poisson process on the torus of length L (the line segment [0,L] with periodic boundary conditions), and where an edge is present between two…

Probability · Mathematics 2022-10-21 Michael Wilsher , Carl Dettmann , Ayalvadi Ganesh

We establish the Strong Poisson Hypothesis for symmetric closed networks. In particular, the asymptotic independence of the nodes -- as the size of the system tends to infinity -- is proved.

Probability · Mathematics 2016-10-27 Serge Pirogov , Alexander Rybko , Senya Shlosman , Alexander Vladimirov

In a large-scale wireless ad hoc network in which all transmitters form a homogeneous of Poisson point process, the statistics of the signal-to-interference ratio (SIR) in prior work is only derived in closed-form for the case of Rayleigh…

Information Theory · Computer Science 2015-05-27 Chun-Hung Liu

Ecosystem of a forest suffers from many adverse events such as wild-fire which can occur randomly anywhere in the forest and grows in size with time. This paper aims to analyze performance of a network of randomly deployed wireless sensors…

Information Theory · Computer Science 2019-04-23 Kaushlendra K. Pandey , Abhishek K. Gupta

Transmit power control is one of the most important issues in wireless networks, where nodes typically operate on limited battery power. Reducing communicating power consumption is essential for both economic and ecologic reasons. In fact,…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Alejandro I. Maass , Dragan Nesic , Romain Postoyan , Vineeth S. Varma , Samson Lasaulce

This paper presents several conditions to determine strong sign controllability for diffusively-coupled undirected networks. The strong sign controllability is determined by the sign patterns (positive, negative, zero) of the edges. We…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Nam-Jin Park , Seong-Ho Kwon , Yoo-Bin Bae , Byeong-Yeon Kim , Kevin L. Moore , Hyo-Sung Ahn

In this paper, we consider wireless sensor networks (WSNs) with sensor nodes exhibiting clustering in their deployment. We model the coverage region of such WSNs by Boolean Poisson cluster models (BPCM) where sensors nodes' location is…

Information Theory · Computer Science 2020-02-03 Kaushlendra Pandey , Abhishek Gupta

Providing security guarantees for wireless communication is critically important for today's applications. While previous work in this area has concentrated on radio frequency (RF) channels, providing security guarantees for RF channels is…

Information Theory · Computer Science 2015-03-13 Amine Laourine , Aaron B. Wagner

We consider reflector imaging in a weakly random waveguide. We address the situation in which the source is farther from the reflector to be imaged than the energy equipartition distance, but the receiver array is closer to the reflector to…

Analysis of PDEs · Mathematics 2013-04-17 Habib Ammari , Josselin Garnier , Wenjia Jing

This work provides some general theorems about unconditional and conditional weak convergence of empirical processes in the case of Poisson sampling designs. The theorems presented in this work are stronger than previously published…

Statistics Theory · Mathematics 2019-06-12 Leo Pasquazzi
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