Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation

In this study, an interval extension method of a bi-iterative is proposed to determine a moving source. This method is developed by utilising the time difference of arrival and frequency difference of arrival measurements of a signals received from several receivers. Unlike the standard Gaussian noi...

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Main Authors: Ningning Qin, Chao Wang, Changxu Shan, Le Yang
Format: Article
Language:English
Published: Hindawi - SAGE Publishing 2021-02-01
Series:International Journal of Distributed Sensor Networks
Online Access:https://doi.org/10.1177/1550147721991770
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author Ningning Qin
Chao Wang
Changxu Shan
Le Yang
author_facet Ningning Qin
Chao Wang
Changxu Shan
Le Yang
author_sort Ningning Qin
collection DOAJ
description In this study, an interval extension method of a bi-iterative is proposed to determine a moving source. This method is developed by utilising the time difference of arrival and frequency difference of arrival measurements of a signals received from several receivers. Unlike the standard Gaussian noise model, the time difference of arrival - frequency difference of arrival measurements are obtained by interval enclosing, which avoids convergence and initialisation problems in the conventional Taylor-series method. Using the bi-iterative strategy, the algorithm can alternately calculate the position and velocity of the moving source in interval vector form. Simulation results indicate that the proposed scheme significantly outperforms other methods, and approaches the Cramer-Rao lower bound at a sufficiently high noise level before the threshold effect occurs. Moreover, the interval widths of the results provide the confidence degree of the estimate.
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spelling doaj.art-b07db80608bd4584b5053c6ae31e04ba2023-09-03T09:33:58ZengHindawi - SAGE PublishingInternational Journal of Distributed Sensor Networks1550-14772021-02-011710.1177/1550147721991770Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisationNingning Qin0Chao Wang1Changxu Shan2Le Yang3Key Laboratory of Dynamic Cognitive System of Electromagnetic Spectrum Space, Ministry of Industry and Information Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, ChinaKey Laboratory of Advanced Process Control for Light Industry of Ministry of Education, Jiangnan University, Wuxi, ChinaKey Laboratory of Advanced Process Control for Light Industry of Ministry of Education, Jiangnan University, Wuxi, ChinaThe Department of Electrical and Computer Engineering Department, University of Canterbury, Christchurch, New ZealandIn this study, an interval extension method of a bi-iterative is proposed to determine a moving source. This method is developed by utilising the time difference of arrival and frequency difference of arrival measurements of a signals received from several receivers. Unlike the standard Gaussian noise model, the time difference of arrival - frequency difference of arrival measurements are obtained by interval enclosing, which avoids convergence and initialisation problems in the conventional Taylor-series method. Using the bi-iterative strategy, the algorithm can alternately calculate the position and velocity of the moving source in interval vector form. Simulation results indicate that the proposed scheme significantly outperforms other methods, and approaches the Cramer-Rao lower bound at a sufficiently high noise level before the threshold effect occurs. Moreover, the interval widths of the results provide the confidence degree of the estimate.https://doi.org/10.1177/1550147721991770
spellingShingle Ningning Qin
Chao Wang
Changxu Shan
Le Yang
Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
International Journal of Distributed Sensor Networks
title Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
title_full Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
title_fullStr Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
title_full_unstemmed Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
title_short Interval analysis-based Bi-iterative algorithm for robust TDOA-FDOA moving source localisation
title_sort interval analysis based bi iterative algorithm for robust tdoa fdoa moving source localisation
url https://doi.org/10.1177/1550147721991770
work_keys_str_mv AT ningningqin intervalanalysisbasedbiiterativealgorithmforrobusttdoafdoamovingsourcelocalisation
AT chaowang intervalanalysisbasedbiiterativealgorithmforrobusttdoafdoamovingsourcelocalisation
AT changxushan intervalanalysisbasedbiiterativealgorithmforrobusttdoafdoamovingsourcelocalisation
AT leyang intervalanalysisbasedbiiterativealgorithmforrobusttdoafdoamovingsourcelocalisation