Towards a set-based detector for GNSS integrity monitoring

authored by
Jingyao Su, Steffen Schön, Mathieu Joerger

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.

Institute of Geodesy
Graduiertenkolleg 2159: Integrität und Kollaboration in dynamischen Sensornetzen
Leibniz Research Centre FZ:GEO
External Organisation(s)
Virginia Polytechnic Institute and State University (Virginia Tech)
Conference contribution
No. of pages
Publication date
Publication status
Peer reviewed
ASJC Scopus subject areas
Electronic, Optical and Magnetic Materials, Control and Optimization, Aerospace Engineering, Instrumentation, Electrical and Electronic Engineering, Automotive Engineering
Research Area (based on ÖFOS 2012)
Navigation systems, Mathematical statistics, Satellite geodesy
Electronic version(s) (Access: Closed)

Details in the research portal "Research@Leibniz University"