A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers

One of the main challenges in using GPS is reducing the positioning accuracy in high-speed conditions. In this contribution, by considering the effect of spatial correlation between observations in estimating the covariances, we propose a model for determining the variance–covariance matrix (VCM) th...

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Autores principales:	Narjes Rahemi, Mohammad Reza Mosavi, Diego Martín
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	GPS positioning EKF UKF dynamic model VCM Chemical technology TP1-1185
Acceso en línea:	https://doaj.org/article/904df71d487a4026938a4cfb60290b4d
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id	oai:doaj.org-article:904df71d487a4026938a4cfb60290b4d
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spelling	oai:doaj.org-article:904df71d487a4026938a4cfb60290b4d2021-11-11T19:16:17ZA New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers10.3390/s212173241424-8220https://doaj.org/article/904df71d487a4026938a4cfb60290b4d2021-11-01T00:00:00Zhttps://www.mdpi.com/1424-8220/21/21/7324https://doaj.org/toc/1424-8220One of the main challenges in using GPS is reducing the positioning accuracy in high-speed conditions. In this contribution, by considering the effect of spatial correlation between observations in estimating the covariances, we propose a model for determining the variance–covariance matrix (VCM) that improves the positioning accuracy without increasing the computational load. In addition, we compare the performance of the extended Kalman filter (EKF) and unscented Kalman filter (UKF) combined with different dynamic models, along with the proposed VCM in GPS positioning at high speeds. To review and test the methods, we used six motion scenarios with different speeds from medium to high and examined the positioning accuracy of the methods and some of their statistical characteristics. The simulation results demonstrate that the EKF algorithm based on the Gauss–Markov model, along with the proposed VCM (based on the sinusoidal function and considering spatial correlations), performs better and provides at least 30% improvement in the positioning, compared to the other methods.Narjes RahemiMohammad Reza MosaviDiego MartínMDPI AGarticleGPS positioningEKFUKFdynamic modelVCMChemical technologyTP1-1185ENSensors, Vol 21, Iss 7324, p 7324 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	GPS positioning EKF UKF dynamic model VCM Chemical technology TP1-1185
spellingShingle	GPS positioning EKF UKF dynamic model VCM Chemical technology TP1-1185 Narjes Rahemi Mohammad Reza Mosavi Diego Martín A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
description	One of the main challenges in using GPS is reducing the positioning accuracy in high-speed conditions. In this contribution, by considering the effect of spatial correlation between observations in estimating the covariances, we propose a model for determining the variance–covariance matrix (VCM) that improves the positioning accuracy without increasing the computational load. In addition, we compare the performance of the extended Kalman filter (EKF) and unscented Kalman filter (UKF) combined with different dynamic models, along with the proposed VCM in GPS positioning at high speeds. To review and test the methods, we used six motion scenarios with different speeds from medium to high and examined the positioning accuracy of the methods and some of their statistical characteristics. The simulation results demonstrate that the EKF algorithm based on the Gauss–Markov model, along with the proposed VCM (based on the sinusoidal function and considering spatial correlations), performs better and provides at least 30% improvement in the positioning, compared to the other methods.
format	article
author	Narjes Rahemi Mohammad Reza Mosavi Diego Martín
author_facet	Narjes Rahemi Mohammad Reza Mosavi Diego Martín
author_sort	Narjes Rahemi
title	A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
title_short	A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
title_full	A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
title_fullStr	A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
title_full_unstemmed	A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers
title_sort	new variance-covariance matrix for improving positioning accuracy in high-speed gps receivers
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/904df71d487a4026938a4cfb60290b4d
work_keys_str_mv	AT narjesrahemi anewvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers AT mohammadrezamosavi anewvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers AT diegomartin anewvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers AT narjesrahemi newvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers AT mohammadrezamosavi newvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers AT diegomartin newvariancecovariancematrixforimprovingpositioningaccuracyinhighspeedgpsreceivers
_version_	1718431598026686464

A New Variance-Covariance Matrix for Improving Positioning Accuracy in High-Speed GPS Receivers

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