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NAVIGATION: Journal of the Institute of Navigation

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Research ArticleOriginal Article
Open Access

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

Julie Antic, Odile Maliet, and Sébastien Trilles
NAVIGATION: Journal of the Institute of Navigation September 2023, 70 (3) navi.594; DOI: https://doi.org/10.33012/navi.594
Julie Antic
THALES ALENIA SPACE, Toulouse, France
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  • For correspondence: [email protected] [email protected] [email protected]
Odile Maliet,
THALES ALENIA SPACE, Toulouse, France
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  • For correspondence: [email protected] [email protected] [email protected]
Sébastien Trilles
THALES ALENIA SPACE, Toulouse, France
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  • For correspondence: [email protected] [email protected] [email protected]
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REFERENCES

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    1. Anderson, T. W.
    (1955). The integral of a symmetric unimodal function over a symmetric convex set and some probability inequalities. Proc. of the American Mathematical Society, 6(2), 170–176. https://dx.doi.org/10.1090/S0002-9939-1955-0069229-1
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    1. Azaïs, J.-M., &
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    (2002). The distribution of the maximum of a Gaussian process: Rice method revisited. In and Out of Equilibrium, 321–348. https://dx.doi.org/10.1007/978-1-4612-0063-5_15
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    1. Bang, E., &
    2. Milner, C.
    (2021). Integrity risk under temporal correlation for horizontal ARAIM (H-ARAIM). IEEE Transactions on Aerospace and Electronic Systems, 57(6), 3974–3987. https://dx.doi.org/10.1109/TAES.2021.3082665
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    1. De Long, D. M.
    (1981). Crossing probabilities for a square root boundary by a Bessel process. Communications in Statistics-Theory and Methods, 10(21), 2197–2213.
    CrossRefWeb of Science
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    1. DeCleene, B.
    (2000). Defining pseudorange integrity-overbounding. Proc. of the 13th International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GPS 2000), Salt Lake City, UT. 1916–1924.
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    1. ICAO
    . (1996). International standards and recommended practices. Annex 10 to the Convention on International Civil Aviation (Vol. 1). https://www.icao.int/safety/airnavigation/nationalitymarks/annexes_booklet_en.pdf
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    1. Langel, S.,
    2. Crespillo, O. G., &
    3. Joerger, M.
    (2020a). A new approach for modeling correlated Gaussian errors using frequency domain overbounding. IEEE/ION Position, Location and Navigation Symposium (PLANS 2020), Portland, OR. 868–876. https://doi.org/10.1109/PLANS46316.2020.9110192
  8. ↵
    1. Langel, S.,
    2. Crespillo, O. G., &
    3. Joerger, M.
    (2020b). Overbounding sequential estimation errors due to non-gaussian correlated noise. Proc. of the 33rd International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS+ 2020), St. Louis, MO. 1054–1067. https://dx.doi.org/10.33012/2020.17576
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    1. MOPS
    . (2016). Minimum Operational Performance Standards for Global Positioning System/Wide Area Augmentation System Airborne Equipment (MOPS). RTCA DO-229E. https://standards.globalspec.com/std/10072442/rtca-do-229
  10. ↵
    1. Pervan, B.,
    2. Khanafseh, S., &
    3. Patel, J.
    (2017). Test statistic auto-and cross-correlation effects on monitor false alert and missed detection probabilities. Proc. of the 2017 International Technical Meeting of the Institute of Navigation (ITM 2017), Monterey, CA. 562–590). https://dx.doi.org/10.33012/2017.14874
  11. ↵
    1. Roturier, B.,
    2. Chatre, E., &
    3. Ventura-Traveset, J.
    (2001). The SBAS integrity concept standardised by ICAO - Application to EGNOS. NAVIGATION-PARIS, 49, 65–77. https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=134f7d44147a27cc68cf409820ad394589036b95
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    1. US Federal Radionavigation Plan
    . (2008). National Technical Information Service. Springfield. https://rosap.ntl.bts.gov/view/dot/8551/dot_8551_DS1.pdf
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NAVIGATION: Journal of the Institute of Navigation: 70 (3)
NAVIGATION: Journal of the Institute of Navigation
Vol. 70, Issue 3
Fall 2023
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SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
Julie Antic, Odile Maliet,, Sébastien Trilles
NAVIGATION: Journal of the Institute of Navigation Sep 2023, 70 (3) navi.594; DOI: 10.33012/navi.594

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SBAS Protection Levels with Gauss-Markov K-Factors for Any Integrity Target
Julie Antic, Odile Maliet,, Sébastien Trilles
NAVIGATION: Journal of the Institute of Navigation Sep 2023, 70 (3) navi.594; DOI: 10.33012/navi.594
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  • Article
    • Abstract
    • 1 INTRODUCTION
    • 2 STATE OF THE ART: MOPS K-FACTORS
    • 3 GMK METHOD: GAUSS-MARKOV FOR K-FACTOR DETERMINATION
    • 4 APPLICATIONS
    • 5 CONCLUSION AND PERSPECTIVES
    • HOW TO CITE THIS ARTICLE
    • REFERENCES
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Keywords

  • GNSS augmentation
  • integrity risk
  • K-factor
  • protection level
  • SBAS

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