3-D distributed localization with mixed local relative measurements

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, distance, relative bearing, angle, or ratio-of-distance mea...

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Main Authors: Fang, Xu, Li, Xiaolei, Xie, Lihua
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/146372
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author Fang, Xu
Li, Xiaolei
Xie, Lihua
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Fang, Xu
Li, Xiaolei
Xie, Lihua
author_sort Fang, Xu
collection NTU
description 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, distance, relative bearing, angle, or ratio-of-distance measurements) about its neighboring nodes in its local coordinate frame. A novel rigidity-theory-based distributed localization is developed to overcome the challenge due to the absence of a global coordinate frame. The main idea is to construct displacement constraints for the positions of the nodes by using mixed local relative measurements. Then, a linear distributed localization algorithm is proposed for each free node to estimate its position by solving the displacement constraints. The algebraic condition and graph condition are obtained to guarantee the global convergence of the proposed distributed localization algorithm.
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spelling ntu-10356/1463722021-02-11T03:46:11Z 3-D distributed localization with mixed local relative measurements Fang, Xu Li, Xiaolei Xie, Lihua School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering::Wireless communication systems Sensor Network Distributed Localization 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, distance, relative bearing, angle, or ratio-of-distance measurements) about its neighboring nodes in its local coordinate frame. A novel rigidity-theory-based distributed localization is developed to overcome the challenge due to the absence of a global coordinate frame. The main idea is to construct displacement constraints for the positions of the nodes by using mixed local relative measurements. Then, a linear distributed localization algorithm is proposed for each free node to estimate its position by solving the displacement constraints. The algebraic condition and graph condition are obtained to guarantee the global convergence of the proposed distributed localization algorithm. National Research Foundation (NRF) Accepted version 2021-02-11T03:46:11Z 2021-02-11T03:46:11Z 2020 Journal Article Fang, X., Li, X., & Xie, L. (2020). 3-D distributed localization with mixed local relative measurements. IEEE Transactions on Signal Processing, 68, 5869-5881. doi:10.1109/TSP.2020.3029399 1053-587X https://hdl.handle.net/10356/146372 10.1109/TSP.2020.3029399 68 5869 5881 en IEEE Transactions on Signal Processing © 2020 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TSP.2020.3029399 application/pdf
spellingShingle Engineering::Electrical and electronic engineering::Wireless communication systems
Sensor Network
Distributed Localization
Fang, Xu
Li, Xiaolei
Xie, Lihua
3-D distributed localization with mixed local relative measurements
title 3-D distributed localization with mixed local relative measurements
title_full 3-D distributed localization with mixed local relative measurements
title_fullStr 3-D distributed localization with mixed local relative measurements
title_full_unstemmed 3-D distributed localization with mixed local relative measurements
title_short 3-D distributed localization with mixed local relative measurements
title_sort 3 d distributed localization with mixed local relative measurements
topic Engineering::Electrical and electronic engineering::Wireless communication systems
Sensor Network
Distributed Localization
url https://hdl.handle.net/10356/146372
work_keys_str_mv AT fangxu 3ddistributedlocalizationwithmixedlocalrelativemeasurements
AT lixiaolei 3ddistributedlocalizationwithmixedlocalrelativemeasurements
AT xielihua 3ddistributedlocalizationwithmixedlocalrelativemeasurements