Gaussian Bounding Improvements and an Analysis of the Bias-sigma Tradeoff for GNSS Integrity

Juan Blanch, Xinwei Liu, and Todd Walter

Abstract: We describe a method to determine symmetric and unimodal pair overbounding distributions that are key to the determination of strict Gaussian bounds used in GNSS integrity. The method works by casting the search of the symmetric and unimodal bounding distribution as a linear program. We then use the proposed method to compute a set of Gaussian bounds with varying bias (for a given sample distribution) and to determine the approximate optimal choice for a given application. As an application, we apply the method to determine optimal Gaussian bounds for GPS clock and ephemeris errors.
Published in: Proceedings of the 2021 International Technical Meeting of The Institute of Navigation
January 25 - 28, 2021
Pages: 703 - 713
Cite this article: Blanch, Juan, Liu, Xinwei, Walter, Todd, "Gaussian Bounding Improvements and an Analysis of the Bias-sigma Tradeoff for GNSS Integrity," Proceedings of the 2021 International Technical Meeting of The Institute of Navigation, , January 2021, pp. 703-713.
https://doi.org/10.33012/2021.17861
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