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We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity…

Networking and Internet Architecture · Computer Science 2018-02-01 Elie Cali , Nila Novita Gafur , Christian Hirsch , Benedikt Jahnel , Taoufik En-Najjary , Robert I. A. Patterson

In this work, we use percolation theory to study the feasibility of large-scale connectivity of relay-augmented device-to-device (D2D) networks in an urban scenario, featuring a haphazard system of streets and canyon shadowing allowing only…

Networking and Internet Architecture · Computer Science 2019-06-19 Quentin Le Gall , Bartłomiej Błaszczyszyn , Elie Cali , Taoufik En-Najjary

In this article we setup a dynamic device-to-device communication system where devices, given as a Poisson point process, move in an environment, given by a street system of random planar-tessellation type, via a random-waypoint model.…

Probability · Mathematics 2022-08-30 Elie Cali , Alexander Hinsen , Benedikt Jahnel , Jean-Philippe Wary

In this work, we study a new model for continuum line-of-sight percolation in a random environment driven by the Poisson-Voronoi tessellation in the $d$-dimensional Euclidean space. The edges (one-dimensional facets, or simply 1-facets) of…

Probability · Mathematics 2020-11-10 Quentin Le Gall , Bartłomiej Błaszczyszyn , Elie Cali , Taoufik En-Najjary

In this paper, we consider device-to-device (D2D) communications as an underlay to the cellular networks over both licensed and unlicensed spectrum, where Long Term Evolution (LTE) users utilize the spectrum orthogonally while D2D users…

Signal Processing · Electrical Eng. & Systems 2019-11-05 Fanyi Wu , Hongliang Zhang , Boya Di , Jianjun Wu , Lingyang Song

This paper analyzes statistical properties of the Poisson line Cox point process useful in the modeling of vehicular networks. The point process is created by a two-stage construction: a Poisson line process to model road infrastructure and…

Information Theory · Computer Science 2018-07-24 Chang-Sik Choi , François Baccelli

We introduce a general framework for the modeling and analysis of vehicular networks by defining street systems as random 1D subsets of $\mathbb{R}^{2}$. The street system, in turn, specifies the random intensity measure of a Cox process of…

Networking and Internet Architecture · Computer Science 2021-06-15 Jeya Pradha Jeyaraj , Martin Haenggi

The current analysis of wireless networks whose transceivers are confined to streets is largely based on Poissonian models, such as Poisson line processes and Poisson line Cox processes. We demonstrate important scenarios where a model with…

Information Theory · Computer Science 2023-06-14 Mohammad Taha Shah , Gourab Ghatak , Souradip Sanyal , Martin Haenggi

We study the contact process on spatially embedded networks, consisting of a regular square lattice with long-range connections. To generate the networks, a long-range connection is randomly added to each node $i$ of a square lattice,…

Statistical Mechanics · Physics 2018-09-26 T. B. dos Santos , C. I. N. Sampaio Filho , N. A. M. Araújo , C. L. N. Oliveira , A. A. Moreira

Liquid diodes are surface structures that facilitate the flow of liquids in a specific direction. When these structures are within the capillary regime, they promote liquid transport without the need for external forces. In nature, they are…

Soft Condensed Matter · Physics 2023-08-24 Camilla Sammartino , Yair Shokef , Bat-El Pinchasik

This paper investigates the performance of millimeter wave (mmWave) communications in clustered device-to-device (D2D) networks. The locations of D2D transceivers are modeled as a Poisson Cluster Process (PCP). In each cluster, devices are…

Information Theory · Computer Science 2018-07-16 Wenqiang Yi , Yuanwei Liu , Arumugam Nallanathan

Device-to-Device communications are expected to play an important role in current and future cellular generations, by increasing the spatial reuse of spectrum resources and enabling lower latency communication links. This paradigm has two…

Information Theory · Computer Science 2015-08-14 Nuno K. Pratas , Petar Popovski

We consider a class of point processes (pp), which we call {\em sub-Poisson}; these are pp that can be directionally-convexly ($dcx$) dominated by some Poisson pp. The $dcx$ order has already been shown useful in comparing various point…

Probability · Mathematics 2012-12-05 Bartlomiej Blaszczyszyn , D. Yogeshwaran

Network percolation has recently been proposed as a method to characterize the global structure of an urban system form the bottom-up. This paper proposes to extend urban network percolation in a multi-dimensional way, to take into account…

Physics and Society · Physics 2019-03-19 Juste Raimbault

Device-to-device (D2D) communication has huge potential for capacity and coverage enhancements for next generation cellular networks. The number of potential nodes for D2D communication is an important parameter that directly impacts the…

Information Theory · Computer Science 2016-03-08 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Ali Imran , Rahim Tafazolli

We use deep-learning strategies to study the 2D percolation model on a square lattice. We employ standard image recognition tools with a multi-layered convolutional neural network. We test how well these strategies can characterise…

Disordered Systems and Neural Networks · Physics 2022-04-01 Djénabou Bayo , Andreas Honecker , Rudolf A. Römer

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

The homogeneous Poisson point process (PPP) is widely used to model spatial distribution of base stations and mobile terminals. The same process can be used to model underlay device-to-device (D2D) network, however, neglecting homophilic…

Information Theory · Computer Science 2017-05-01 Hafiz Attaul Mustafa , Muhammad Zeeshan Shakir , Muhammad Ali Imran , Rahim Tafazolli

This paper addresses two fundamental and interrelated issues in device-to-device (D2D) enhanced cellular networks. The first issue is how D2D users should access spectrum, and we consider two choices: overlay (orthogonal spectrum between…

Information Theory · Computer Science 2016-11-17 Xingqin Lin , Jeffrey G. Andrews , Amitava Ghosh

We introduce a new approach to connectivity-dependent properties of diluted systems, which is based on the transfer-matrix formulation of the percolation problem. It simultaneously incorporates the connective properties reflected in…

Statistical Mechanics · Physics 2009-10-31 S. L. A. de Queiroz , R. B. Stinchcombe
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