Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method

In this study, we improve the matching accuracy of underwater gravity-matching navigation and use this method to further analyze the confidence of the matching accuracy. An interquartile range (IQR)-matching approach based on Bayesian estimation, referred to as BEIQR, is proposed in this study. The...

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Main Authors: Jiasheng Zou, Tijing Cai, Shiliang Zhao
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/17/13/2137
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author Jiasheng Zou
Tijing Cai
Shiliang Zhao
author_facet Jiasheng Zou
Tijing Cai
Shiliang Zhao
author_sort Jiasheng Zou
collection DOAJ
description In this study, we improve the matching accuracy of underwater gravity-matching navigation and use this method to further analyze the confidence of the matching accuracy. An interquartile range (IQR)-matching approach based on Bayesian estimation, referred to as BEIQR, is proposed in this study. The method uses the correlation of the Terrain Contour Matching (TERCOM) algorithm as the a priori estimation and calculates the probability weights of the points to be matched by Bayesian a posteriori probability estimation. Additionally, it analyzes the distribution of the to-be-matched points to obtain the final matching results based on the accuracy requirements. Furthermore, a novel interquartile range confidence analysis method based on Bayesian estimation (BEIQRC) is proposed to assess the matching results. This method defines the matching point as the center and the accuracy requirement as the radius, analyzing the measurement weight and distance weight of the to-be-matched points within the accuracy circle. Based on this analysis, the final matching point is projected with the true position probability. The experimental results demonstrate that the proposed method is independent of the preorder matching results. By utilizing data from a single matching process, it effectively obtains the confidence of the matching results, providing a reliable reference for the accuracy assessment of gravity-matching outcomes.
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spelling doaj-art-c93f3dd5ea3240b092d1266b36a7fff02025-08-20T03:16:47ZengMDPI AGRemote Sensing2072-42922025-06-011713213710.3390/rs17132137Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range MethodJiasheng Zou0Tijing Cai1Shiliang Zhao2School of Instrument Science and Engineering, Southeast University, Nanjing 210000, ChinaSchool of Instrument Science and Engineering, Southeast University, Nanjing 210000, ChinaSchool of Instrument Science and Engineering, Southeast University, Nanjing 210000, ChinaIn this study, we improve the matching accuracy of underwater gravity-matching navigation and use this method to further analyze the confidence of the matching accuracy. An interquartile range (IQR)-matching approach based on Bayesian estimation, referred to as BEIQR, is proposed in this study. The method uses the correlation of the Terrain Contour Matching (TERCOM) algorithm as the a priori estimation and calculates the probability weights of the points to be matched by Bayesian a posteriori probability estimation. Additionally, it analyzes the distribution of the to-be-matched points to obtain the final matching results based on the accuracy requirements. Furthermore, a novel interquartile range confidence analysis method based on Bayesian estimation (BEIQRC) is proposed to assess the matching results. This method defines the matching point as the center and the accuracy requirement as the radius, analyzing the measurement weight and distance weight of the to-be-matched points within the accuracy circle. Based on this analysis, the final matching point is projected with the true position probability. The experimental results demonstrate that the proposed method is independent of the preorder matching results. By utilizing data from a single matching process, it effectively obtains the confidence of the matching results, providing a reliable reference for the accuracy assessment of gravity-matching outcomes.https://www.mdpi.com/2072-4292/17/13/2137interquartile rangeBayesian estimationgravity matchingconfidenceinertial navigation
spellingShingle Jiasheng Zou
Tijing Cai
Shiliang Zhao
Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
Remote Sensing
interquartile range
Bayesian estimation
gravity matching
confidence
inertial navigation
title Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
title_full Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
title_fullStr Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
title_full_unstemmed Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
title_short Gravity-Aided Navigation Underwater Positioning Confidence Study Based on Bayesian Estimation of the Interquartile Range Method
title_sort gravity aided navigation underwater positioning confidence study based on bayesian estimation of the interquartile range method
topic interquartile range
Bayesian estimation
gravity matching
confidence
inertial navigation
url https://www.mdpi.com/2072-4292/17/13/2137
work_keys_str_mv AT jiashengzou gravityaidednavigationunderwaterpositioningconfidencestudybasedonbayesianestimationoftheinterquartilerangemethod
AT tijingcai gravityaidednavigationunderwaterpositioningconfidencestudybasedonbayesianestimationoftheinterquartilerangemethod
AT shiliangzhao gravityaidednavigationunderwaterpositioningconfidencestudybasedonbayesianestimationoftheinterquartilerangemethod