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Directional beamforming will play a paramount role in 5G and beyond networks in order to combat the higher path losses incurred at millimeter wave bands. Appropriate modeling and analysis of the angles and distances between transmitters and…

This paper investigates the localization problem of a network in 2-D and 3-D spaces given the positions of anchor nodes in a global frame and inter-node relative measurements in local coordinate frames. It is assumed that the local frames…

Systems and Control · Electrical Eng. & Systems 2023-12-20 Xu Fang , Xiaolei Li , Lihua Xie

This report presents a new, algorithmic approach to the distributions of the distance between two points distributed uniformly at random in various polygons, based on the extended Kinematic Measure (KM) from integral geometry. We first…

Computational Geometry · Computer Science 2016-02-11 Fei Tong , Jianping Pan

Sampling a network with a given probability distribution has been identified as a useful operation. In this paper we propose distributed algorithms for sampling networks, so that nodes are selected by a special node, called the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-28 Andrés Sevilla , Alberto Mozo , Antonio Fernández Anta

Handover rate is one of the most import metrics to instruct mobility management and resource management in wireless cellular networks. In the literature, the mathematical expression of handover rate has been derived for homogeneous cellular…

Information Theory · Computer Science 2015-01-08 Bin Fang , Wuyang Zhou

A mobile computing system is a distributed system in which at least one of the processes is mobile. They are constrained by lack of stable storage, low network bandwidth, mobility, frequent disconnection and limited battery life.…

Databases · Computer Science 2012-06-08 Yogita Khatri

We present analytical results for the distribution of shortest path lengths between random pairs of nodes in configuration model networks. The results, which are based on recursion equations, are shown to be in good agreement with numerical…

Disordered Systems and Neural Networks · Physics 2016-06-16 Mor Nitzan , Eytan Katzav , Reimer Kühn , Ofer Biham

This paper studies 3-D distributed network localization using mixed types of local relative measurements. Each node holds a local coordinate frame without a common orientation and can only measure one type of information (relative position,…

Signal Processing · Electrical Eng. & Systems 2023-12-19 Xu Fang , Xiaolei Li , Lihua Xie

We consider the problem of determining the proportion of edges that are discovered in an Erdos-Renyi graph when one constructs all shortest paths from a given source node to all other nodes. This problem is equivalent to the one of…

Statistical Mechanics · Physics 2009-11-13 Vincent D. Blondel , Jean-Loup Guillaume , Julien M. Hendrickx , Raphael M. Jungers

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Carl Herrmann , Marc Barthelemy , Paolo Provero

We introduce a new approach to model and analyze \emph{Mobility}. It is fully based on discrete mathematics and yields a class of mobility models, called the \emph{Markov Trace} Model. This model can be seen as the discrete version of the…

Discrete Mathematics · Computer Science 2010-02-05 Andrea Clementi , Angelo Monti , Riccardo Silvestri

We present the simulation of the time evolution of the distance matrix. The result is the node-node distance distribution for various kinds of networks. For the exponential trees, analytical formulas are derived for the moments of the…

Statistical Mechanics · Physics 2021-01-06 K. Malarz , J. Karpinska , A. Kardas , K. Kulakowski

We first review the derivation of the exact expression for the average distance $<r_n>$ of the n-th neighbour of a reference point among a set of N random points distributed uniformly in a unit volume of a D-dimensional geometric space.…

Statistical Mechanics · Physics 2007-05-23 Pratip Bhattacharyya , Bikas K. Chakrabarti , Anirban Chakraborti

Many real-world communication networks often have hybrid nature with both fixed nodes and moving modes, such as the mobile phone networks mainly composed of fixed base stations and mobile phones. In this paper, we discuss the information…

Networking and Internet Architecture · Computer Science 2017-10-11 Rongbin Chen , Wei Cui , Cunlai Pu , Jie Li , Bo Ji , Konstantinos Gakis , Panos M. Pardalos

Motivated by the growing number of mobile devices capable of connecting and exchanging messages, we propose a methodology aiming to model and analyze node mobility in networks. We note that many existing solutions in the literature rely on…

Networking and Internet Architecture · Computer Science 2021-11-12 Matheus F. C. Barros , Carlos H. G. Ferreira , Bruno Pereira dos Santos , Lourenço A. P. Júnior , Marco Mellia , Jussara M. Almeida

Impact of mobility will be increasingly important in future generation wireless services and the related challenges will need to be addressed. Sojourn time, the time duration that a mobile user stays within a cell, is a mobility-aware…

Information Theory · Computer Science 2020-01-08 Mohammad Salehi , Ekram Hossain

This paper proposes a method for accurately estimating the relative position between two nodes with unknown locations in a diffusion-based molecular communication environment. A specialized node structure is designed, combining a central…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Sangjun Hwang , Chan-Byoung Chae

With the ever-growing communication demands and the unceasing miniaturization of mobile devices, the Internet of Things is expanding the amount of mobile terminals to an enormous level. To deal with such numbers of communication data,…

Signal Processing · Electrical Eng. & Systems 2022-04-08 He Zhou , Haibo Zhou , Jianguo Li , Kai Yang , Jianping An , Xuemin , Shen

With the popularity of portable wireless devices it is important to model and predict how information or contagions spread by natural human mobility -- for understanding the spreading of deadly infectious diseases and for improving delay…

Multiagent Systems · Computer Science 2018-09-21 Aria Rezaei , Jie Gao , Jeff M. Phillips , Csaba D. Tóth

Prior work on routing in delay tolerant networks (DTNs) has commonly made the assumption that each pair of nodes shares the same inter-contact time distribution as every other pair. The main argument in this paper is that researchers should…

Networking and Internet Architecture · Computer Science 2007-05-23 Vania Conan , Jeremie Leguay , Timur Friedman