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Related papers: Localizability with Range-Difference Measurements

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Localization of a set of nodes is an important and a thoroughly researched problem in robotics and sensor networks. This paper is concerned with the theory of localization from inner-angle measurements. We focus on the challenging case…

Robotics · Computer Science 2020-05-12 Frederike Dümbgen , Majed El Helou , Adam Scholefield

Global Navigation Satellite Systems (GNSS) are a widely used technology for positioning and navigation. GNSS positioning relies on pseudorange measurements from satellites to receivers. A pseudorange is the apparent distance between two…

Signal Processing · Electrical Eng. & Systems 2024-06-26 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François Da Rocha

The relativity of Global Positioning System (GPS) pseudorange measurements is explored within the geometrical optics approximation in the curved space-time near Earth. A space-time grid for navigation is created by the discontinuities…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Thomas B. Bahder

Given near or far field wave measurements generated by some unknown time- and space-dependent acoustic source, we seek to rapidly determine a domain in space-time, as small as possible, that contains the support of a source radiating these…

Analysis of PDEs · Mathematics 2016-07-07 Armin Lechleiter

High-precision localization and environmental sensing are essential for a new wave of applications, ranging from industrial automation and autonomous systems to augmented reality and remote healthcare. Conventional wireless methods,…

This paper introduces a novel method for solving the single-source localization problem, specifically addressing the case of trilateration. We formulate the problem as a weighted least-squares problem in the squared distances and…

Optimization and Control · Mathematics 2025-02-26 Martin Larsson , Viktor Larsson , Kalle Åström , Magnus Oskarsson

In this paper we discuss a classical geometrical problem of estimating an unknown point's location in $\Real{n}$ from several noisy measurements of the Euclidean distances from this point to a set of known reference points (anchors). We…

Computational Engineering, Finance, and Science · Computer Science 2026-03-06 Giuseppe C. Calafiore

Localisation can be defined as estimating or finding a position of the node. There are two techniques in localisation, which are range-based and range-free techniques. This paper focusses on the Received Signal Strength Indicator (RSSI)…

The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some homeland security applications. The…

Statistics Theory · Mathematics 2015-05-28 Xiaolei Xun , Bani Mallick , Raymond J. Carroll , Peter Kuchment

In this paper, we aim to determine the location information of a node deployed in Wireless Sensor Networks (WSN). We estimate the position of an unknown source node using localization based on linear approach on a single simulation…

Networking and Internet Architecture · Computer Science 2014-03-27 S Ravindra , S N Jagadeesha

A standard paradigm of localization microscopy involves extension from two to three dimensions by engineering information into emitter images, and approximation of errors resulting from the field dependence of optical aberrations. We invert…

A quantum sensor (QS) is able to measure various physical phenomena with extreme sensitivity. QSs have been used in several applications such as atomic interferometers, but few applications of a quantum sensor network (QSN) have been…

Quantum Physics · Physics 2024-02-29 Caitao Zhan , Himanshu Gupta

Localizing linearly moving sound sources using microphone arrays is challenging as the transient nature of the signal leads to relatively short observation periods. Commonly, a moving focus is used and most methods operate at least…

Audio and Speech Processing · Electrical Eng. & Systems 2024-08-21 Christian H. Kasess , Wolfgang Kreuzer , Prateek Soni , Holger Waubke

The localization technology is important for the development of indoor location-based services (LBS). The radio frequency (RF) fingerprint-based localization is one of the most promising approaches. However, it is challenging to apply this…

Signal Processing · Electrical Eng. & Systems 2017-12-06 Yu Zhang , Xiao-Yang Liu

Spatial labeling assigns labels to specific spatial locations to characterize their spatial properties and relationships, with broad applications in scientific research and practice. Measuring the similarity between two spatial labelings is…

Machine Learning · Computer Science 2025-05-21 Yihang Du , Jiaying Hu , Suyang Hou , Yueyang Ding , Xiaobo Sun

A Semidefinite Programming (SDP) relaxation is an effective computational method to solve a Sensor Network Localization problem, which attempts to determine the locations of a group of sensors given the distances between some of them [11].…

Metric Geometry · Mathematics 2012-11-16 Davood Shamsi , Nicole Taheri , Zhisu Zhu , Yinyu Ye

We present a data structure for *spherical range reporting* on a point set $S$, i.e., reporting all points in $S$ that lie within radius $r$ of a given query point $q$. Our solution builds upon the Locality-Sensitive Hashing (LSH) framework…

Data Structures and Algorithms · Computer Science 2017-04-11 Thomas D. Ahle , Martin Aumüller , Rasmus Pagh

Scientists use imaging to identify objects of interest and infer properties of these objects. The locations of these objects are often measured with error, which when ignored leads to biased parameter estimates and inflated variance.…

In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on the boundary. In this type of problem, biasing of the…

Optimization and Control · Mathematics 2024-07-30 Joonas Lahtinen

The Local Position Measurement system (LPM) is one of the most precise systems for 3D position estimation. It is able to operate in- and outdoor and updates at a rate up to 1000 measurements per second. Previous scientific publications…

Signal Processing · Electrical Eng. & Systems 2018-02-07 Juri Sidorenko , Norbert Scherer-Negenborn , Eckart Michaelsen , Michael Arens