Improving Navigation System Availability using Gaussian-Pareto Overbounding

Jordan D. Larson, Demoz Gebre-Egziabher, Jason H. Rife

Abstract: This paper performs an analysis of the improvement to system availability that Gaussian-Pareto overbounds could provide for navigation systems. In particular, this work compares the availability of the GaussianPareto overbounds to Gaussian overbounds on measurements from a Global Navigation Satellite System (GNSS). This improvement is particularly stark with the high integrity requirements of safety-critical navigation systems. However, the increased availability requires increased computational cost due to the numerical integration required for mapping the statistical models through the navigation algorithms to the system outputs. This technique is demonstrated with generalized least squares for GNSS-based positioning using pseudorange measurements.
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: 3153 - 3161
Cite this article: Larson, Jordan D., Gebre-Egziabher, Demoz, Rife, Jason H., "Improving Navigation System Availability using Gaussian-Pareto Overbounding," Proceedings of the 32nd International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS+ 2019), Miami, Florida, September 2019, pp. 3153-3161.
https://doi.org/10.33012/2019.17018
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