SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target

According to aviation minimum operational performance standards (MOPS), protection levels for satellite-based augmentation systems (SBASs) are to be computed as the product of the estimated standard deviation of errors and a scaling, or K-factor. MOPS recognized that K-factors were originally chosen...

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Main Authors: Julie Antic, Odile Maliet, Sébastien Trilles
Format: Article
Language:English
Published: Institute of Navigation 2023-07-01
Series:Navigation
Online Access:https://navi.ion.org/content/70/3/navi.594
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author Julie Antic
Odile Maliet
Sébastien Trilles
author_facet Julie Antic
Odile Maliet
Sébastien Trilles
author_sort Julie Antic
collection DOAJ
description According to aviation minimum operational performance standards (MOPS), protection levels for satellite-based augmentation systems (SBASs) are to be computed as the product of the estimated standard deviation of errors and a scaling, or K-factor. MOPS recognized that K-factors were originally chosen to be consistent with certain assumptions that may not hold under all conditions. Considering the limited applicability of aviation-based K-factors, it will be important to identify a more rigorous method for deriving new SBAS applications for road, rail, or maritime use. Here we describe an innovative method applicable to any integrity risk (e.g., at 10-7 for aviation or 10-5 for maritime applications) and time interval T (e.g., 150 seconds to 1 hour for aviation or 3 hours for maritime use). This new method relies on rigorous probability justification. No restrictive assumptions are needed for the time correlation pattern of the errors. The method is easy-to-implement and applicable to any type of integrity risk or time interval T.
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spelling doaj.art-40ac6fcd44674b97aa891397eceb3fbf2023-12-12T17:32:42ZengInstitute of NavigationNavigation2161-42962023-07-0170310.33012/navi.594navi.594SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity TargetJulie AnticOdile MalietSébastien TrillesAccording to aviation minimum operational performance standards (MOPS), protection levels for satellite-based augmentation systems (SBASs) are to be computed as the product of the estimated standard deviation of errors and a scaling, or K-factor. MOPS recognized that K-factors were originally chosen to be consistent with certain assumptions that may not hold under all conditions. Considering the limited applicability of aviation-based K-factors, it will be important to identify a more rigorous method for deriving new SBAS applications for road, rail, or maritime use. Here we describe an innovative method applicable to any integrity risk (e.g., at 10-7 for aviation or 10-5 for maritime applications) and time interval T (e.g., 150 seconds to 1 hour for aviation or 3 hours for maritime use). This new method relies on rigorous probability justification. No restrictive assumptions are needed for the time correlation pattern of the errors. The method is easy-to-implement and applicable to any type of integrity risk or time interval T.https://navi.ion.org/content/70/3/navi.594
spellingShingle Julie Antic
Odile Maliet
Sébastien Trilles
SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
Navigation
title SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
title_full SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
title_fullStr SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
title_full_unstemmed SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
title_short SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
title_sort sbas protection levels with gauss markov k factors for any integrity target
url https://navi.ion.org/content/70/3/navi.594
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