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Bayesian Fault-Tolerant Position Estimator and Integrity Risk Bound for GNSS Navigation

Published online by Cambridge University Press:  17 April 2014

Fang-Cheng Chan ,
Mathieu Joerger ,
Samer Khanafseh  and
Boris Pervan
Fang-Cheng Chan*
Affiliation:
(Illinois Institute of Technology)
Mathieu Joerger
Affiliation:
(Illinois Institute of Technology)
Samer Khanafseh
Affiliation:
(Illinois Institute of Technology)
Boris Pervan
Affiliation:
(Illinois Institute of Technology)
*
(E-mail: chanfan@iit.edu)
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Abstract

The advent of multiple Global Navigation Satellite System (GNSS) constellations will result in a considerable increase in the number of satellites for positioning worldwide. This substantial improvement in measurement redundancy has the potential to radically advance receiver autonomous integrity monitoring (RAIM) performance. However, regardless of the number of satellites, the performance of existing RAIM methods is sensitive to the assumed prior probabilities of individual fault hypotheses. In this paper, a new method is developed using Bayes’ theorem to generate upper bounds on posterior probabilities of individual fault hypotheses given current user measurements. These bounds are used in a Bayesian fault-tolerant position estimator (FTE) that minimizes integrity risk. The detection test statistic is a measurement-based integrity risk bound, which is directly compared with a pre-specified risk requirement. The associated challenge of quantifying continuity risk is resolved using a bounding approach, which is also detailed in this work. The new Bayesian FTE method is shown to be more robust to uncertainty in prior probability of fault occurrence than existing RAIM methods.

Keywords

Global Navigation Satellite Systems (GNSS)Bayesian probabilityFault-tolerance position estimationRAIMNavigation integrity
Type
Research Article
Information
The Journal of Navigation , Volume 67 , Issue 5 , September 2014 , pp. 753 - 775
Copyright
Copyright © The Royal Institute of Navigation 2014 

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