TY - GEN

T1 - Towards a set-based detector for GNSS integrity monitoring

AU - Su, Jingyao

AU - Schön, Steffen

AU - Joerger, Mathieu

N1 - Funding Information: This work was supported by the German Research Foundation as part of the Research Training Group 2159: Integrity and Collaboration in Dynamic Sensor Networks (i.c.sens).

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - error modeling

KW - fault detection

KW - GNSS integrity

KW - interval mathematics

KW - set theory

UR - http://www.scopus.com/inward/record.url?scp=85162853627&partnerID=8YFLogxK

U2 - 10.1109/PLANS53410.2023.10139987

DO - 10.1109/PLANS53410.2023.10139987

M3 - Conference contribution

SN - 978-1-6654-1773-0

T3 - IEEE/ION Position Location and Navigation Symposium

SP - 421

EP - 429

BT - 2023 IEEE/ION Position, Location and Navigation Symposium (PLANS)

T2 - 2023 IEEE/ION Position, Location and Navigation Symposium (PLANS)

Y2 - 24 April 2023 through 27 April 2023

ER -