article · 2023

Towards a set-based detector for GNSS integrity monitoring

Jingyao Su, Steffen Schön, Mathieu Joerger

Cited by 2Abstract and details only

Abstract

This paper aims to evaluate the performance of the set-based fault detection. This approach differs from probabilistic residual-based (RB) or solution separation (SS) fault detection and exclusion methods utilized in the Receiver Autonomous Integrity Monitoring (RAIM) and Advanced RAIM. In the basic positioning model, measurement-level intervals are constructed based on the investigated error models and propagated in a linear manner using interval mathematics and set theory. Convex polytope solutions provide a measure of observation consistency formulated as a constraint satisfaction problem. Consistency checks performed using set operations facilitate multiple-fault detection. Choosing set-emptiness as the detection criterion can alleviate the need for multiple test statistics. In this paper, we formulate the fault detection problem in the context of measurement intervals and propose a framework of integrity monitoring for the set-based detection. Considering a probabilistic error model, we implement the set-based detection methods and assess its integrity performance using Monte Carlo simulations. These evaluations will serve as a basis for further development of efficient estimators and integrity monitors.

Cite this paper

APA 7

Su, J., Schön, S., & Joerger, M. (2023). Towards a set-based detector for GNSS integrity monitoring. https://doi.org/10.1109/plans53410.2023.10139987

MLA 9

Su, Jingyao, et al. “Towards a set-based detector for GNSS integrity monitoring.” 2023, pp. 421–29, https://doi.org/10.1109/plans53410.2023.10139987.

Chicago

Su, Jingyao, Steffen Schön, and Mathieu Joerger. 2023. “Towards a set-based detector for GNSS integrity monitoring.” https://doi.org/10.1109/plans53410.2023.10139987.

Harvard

Su, J., Schön, S. and Joerger, M. (2023) ‘Towards a set-based detector for GNSS integrity monitoring’. Available at: https://doi.org/10.1109/plans53410.2023.10139987.

BibTeX

@article{su2023towards,
  title = {{Towards a set-based detector for GNSS integrity monitoring}},
  author = {Su, Jingyao and Schön, Steffen and Joerger, Mathieu},
  pages = {421--429},
  year = {2023},
  doi = {10.1109/plans53410.2023.10139987}
}

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