Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks

This article focuses on the evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks. We calculate a general analytical expression for the geometric dilution of precision for three-dimensional angle-of-arrival target localiz...

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Main Authors: Jiao Zhang, Jianfeng Lu
Format: Article
Language:English
Published: Wiley 2020-05-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147720920471
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author Jiao Zhang
Jianfeng Lu
author_facet Jiao Zhang
Jianfeng Lu
author_sort Jiao Zhang
collection DOAJ
description This article focuses on the evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks. We calculate a general analytical expression for the geometric dilution of precision for three-dimensional angle-of-arrival target localization. Unlike the existing works in the literature, in this article, no assumptions are made regarding the observation ranges, noise variances, or the number of sensors in the derivation of the geometric dilution of precision. Necessary and sufficient conditions regarding the existence of geometric dilution of precision are also derived, which can be readily used to evaluate the observability of three-dimensional angle-of-arrival target localization in wireless sensor networks. Moreover, a concise procedure is also presented to calculate the geometric dilution of precision when it exists. Finally, several examples are used to illustrate our results, and it is shown that the performance of the proposed regular deployment configurations of angle-of-arrival sensors is better than the one with random deployment patterns.
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institution Kabale University
issn 1550-1477
language English
publishDate 2020-05-01
publisher Wiley
record_format Article
series International Journal of Distributed Sensor Networks
spelling doaj-art-c8e96d8f3ca34f04be2f0d3e3913d1112025-02-03T06:45:21ZengWileyInternational Journal of Distributed Sensor Networks1550-14772020-05-011610.1177/1550147720920471Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networksJiao Zhang0Jianfeng Lu1Beijing Institute of Special Electromechanical Technology, Beijing, ChinaSchool of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, ChinaThis article focuses on the evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks. We calculate a general analytical expression for the geometric dilution of precision for three-dimensional angle-of-arrival target localization. Unlike the existing works in the literature, in this article, no assumptions are made regarding the observation ranges, noise variances, or the number of sensors in the derivation of the geometric dilution of precision. Necessary and sufficient conditions regarding the existence of geometric dilution of precision are also derived, which can be readily used to evaluate the observability of three-dimensional angle-of-arrival target localization in wireless sensor networks. Moreover, a concise procedure is also presented to calculate the geometric dilution of precision when it exists. Finally, several examples are used to illustrate our results, and it is shown that the performance of the proposed regular deployment configurations of angle-of-arrival sensors is better than the one with random deployment patterns.https://doi.org/10.1177/1550147720920471
spellingShingle Jiao Zhang
Jianfeng Lu
Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
International Journal of Distributed Sensor Networks
title Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
title_full Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
title_fullStr Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
title_full_unstemmed Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
title_short Analytical evaluation of geometric dilution of precision for three-dimensional angle-of-arrival target localization in wireless sensor networks
title_sort analytical evaluation of geometric dilution of precision for three dimensional angle of arrival target localization in wireless sensor networks
url https://doi.org/10.1177/1550147720920471
work_keys_str_mv AT jiaozhang analyticalevaluationofgeometricdilutionofprecisionforthreedimensionalangleofarrivaltargetlocalizationinwirelesssensornetworks
AT jianfenglu analyticalevaluationofgeometricdilutionofprecisionforthreedimensionalangleofarrivaltargetlocalizationinwirelesssensornetworks