Multi Gaussian Distribution for ARAIM SISRE Overbound

Santiago Perea, Michael Meurer and Boris Pervan

Abstract:	This paper presents a novel Signal-in-Space Range Error (SISRE) overbounding methodology based on the combination of two Gaussian distributions. Based on empirical evidence from GPS and Galileo historical SISRE data, by partitioning the error distribution into core and tail sets, this work introduces an individual Single Gaussian (SG) overbound for each distribution. Their weighted sum creates a more efficient Multi Gaussian (MG) integrity bound which provides the flexibility to optimize the core-tail shape of the error distribution ultimately leading to tighter bound. Results show that typical standard deviation values for core bounds range between 35-50 cm for GPS and 15-25 cm for Galileo. This methodology is then particularized for Advanced Receiver Autonomous Integrity Monitoring (ARAIM) applications where the bounding parameters are transmitted through the Integrity Support Message (ISM). This paper proposes three different options to accommodate in the current ISM format the necessary information to perform a MG bounding technique.
Published in:	Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019) September 16 - 20, 2019 Hyatt Regency Miami Miami, Florida
Pages:	795 - 810
Cite this article:	Perea, Santiago, Meurer, Michael, Pervan, Boris, "Multi Gaussian Distribution for ARAIM SISRE Overbound," Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019), Miami, Florida, September 2019, pp. 795-810. https://doi.org/10.33012/2019.16938
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