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Distance distributions are a key building block in stochastic geometry modelling of wireless networks and in many other fields in mathematics and science. In this paper, we propose a novel framework for analytically computing the closed…

Information Theory · Computer Science 2019-03-20 Ross Pure , Salman Durrani , Fei Tong , Jianping Pan

This article deals with localization probability in a network of randomly distributed communication nodes contained in a bounded domain. A fraction of the nodes denoted as L-nodes are assumed to have localization information while the rest…

Networking and Internet Architecture · Computer Science 2016-11-17 F. Daneshgaran , Massimiliano Laddomada , M. Mondin

Spatial networks are networks where nodes are located in a space equipped with a metric. Typically, the space is two-dimensional and until recently and traditionally, the metric that was usually considered was the Euclidean distance. In…

Combinatorics · Mathematics 2022-11-29 Ramon Ferrer-i-Cancho

In wireless networks, the knowledge of nodal distances is essential for several areas such as system configuration, performance analysis and protocol design. In order to evaluate distance distributions in random networks, the underlying…

Information Theory · Computer Science 2012-01-24 Sunil Srinivasa , Martin Haenggi

In this paper, we develop a \textit{distributed} algorithm to localize an arbitrary number of agents moving in a bounded region of interest. We assume that the network contains \textit{at least one} agent with known location (hereinafter…

Systems and Control · Computer Science 2017-01-24 Sam Safavi , Usman A. Khan

A new method for estimating the relative positions of location-unaware nodes from the location-aware nodes and the received signal strength (RSS) between the nodes, in a wireless sensor network (WSN), is proposed. In the method, a…

Networking and Internet Architecture · Computer Science 2014-02-11 R. C. Nongpiur

This letter presents a unified analytical framework for internodal distance distributions in 2D and 3D wireless networks, with nodes confined to concentric circular or spherical regions. Four deployment scenarios are considered, covering…

Signal Processing · Electrical Eng. & Systems 2026-03-05 Nicholas Vaiopoulos , Alexander Vavoulas , Harilaos G. Sandalidis , Konstantinos K. Delibasis , Dimitris Varoutas

This paper studies the problem of determining the sensor locations in a large sensor network using relative distance (range) measurements only. Our work follows from a seminal paper by Khan et al. [1] where a distributed algorithm, known as…

Information Theory · Computer Science 2013-01-15 Yingfei Diao , Zhiyun Lin , Minyue Fu , Huanshui Zhang

This work proposes a fully decentralized strategy for maintaining the formation rigidity of a multi-robot system using only range measurements, while still allowing the graph topology to change freely over time. In this direction, a first…

Systems and Control · Computer Science 2015-06-03 Daniel Zelazo , Antonio Franchi , Heinrich H. Bülthoff , Paolo Robuffo Giordano

We consider the problem of self-localization by a resource-constrained node within a network given radio signal strength indicator (RSSI) measurements from a set of anchor nodes where the RSSI measurements as well as the anchor position…

Information Theory · Computer Science 2017-06-15 Vikram Kumar , Reza Arablouei , Brano Kusy , Raja Jurdak , Neil W. Bergmann

We derive the probability that a randomly chosen NL-node over $S$ gets localized as a function of a variety of parameters. Then, we derive the probability that the whole network of NL-nodes over $S$ gets localized. In connection with the…

Discrete Mathematics · Computer Science 2011-11-10 Fred Daneshgaran , Massimiliano Laddomada , Marina Mondin

In this paper, we propose an efficient range free localization scheme for large scale three dimensional wireless sensor networks. Our system environment consists of two type of sensors, randomly deployed static sensors and global…

Networking and Internet Architecture · Computer Science 2018-01-11 Rajesh Kumar , Sushil Kumar , Diksha Shukla , Ram Shringar Raw

Cooperative geolocation has attracted significant research interests in recent years. A large number of localization algorithms rely on the availability of statistical knowledge of measurement errors, which is often difficult to obtain in…

Applications · Statistics 2017-01-05 Xiufang Shi , Guoqiang Mao , Brian. D. O. Anderson , Zaiyue Yang , Jiming Chen

Determining whether nodes can be localized, called localizability detection, is essential for wireless sensor networks (WSNs). This step is required for localizing nodes, achieving low-cost deployments, and identifying prerequisites in…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Hejun Wu , Ao Ding , Lvzhou Li

Accurate location information is essential for many wireless sensor network (WSN) applications. A location-aware WSN generally includes two types of nodes: sensors whose locations to be determined and anchors whose locations are known a…

Networking and Internet Architecture · Computer Science 2014-03-17 Liang Heng , Grace Xingxin Gao

Localization between a swarm of AUVs can be entirely estimated through the use of range measurements between neighboring AUVs via a class of techniques commonly referred to as sensor network localization. However, the localization quality…

Robotics · Computer Science 2020-10-07 Alan Papalia , John Leonard

The well-studied DISPERSION problem is a fundamental coordination problem in distributed robotics, where a set of mobile robots must relocate so that each occupies a distinct node of a network. DISPERSION assumes that a robot can settle at…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-06 Himani , Supantha Pandit , Gokarna Sharma

We consider the problem of self-localization by a resource-constrained mobile node given perturbed anchor position information and distance estimates from the anchor nodes. We consider normally-distributed noise in anchor position…

Information Theory · Computer Science 2017-11-07 Vikram Kumar , Reza Arablouei , Raja Jurdak , Branislav Kusy , Neil W. Bergmann

Localization is one of the pivotal issues in wireless sensor network applications. In 3D localization studies, most algorithms focus on enhancing the location prediction process, lacking theoretical derivation of the detection distance of…

Networking and Internet Architecture · Computer Science 2024-01-12 Penghong Wang , Hao Wang , Wenrui Li , Xiaopeng Fan , Debin Zhao

Localization is one of the most important factor in wireless sensor networks as many applications demand position information of sensors. Recently there is an increasing interest on the use of mobile anchors for localizing sensors. Most of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-02 Kaushik Mondal , Arindam Karmakar , Partha Sarathi Mandal