2013
DOI: 10.1017/s0373463313000155
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Optimal Fault Detection and Exclusion Applied in GNSS Positioning

Abstract: In Global Navigation Satellite System (GNSS) positioning, it is standard practice to apply the Fault Detection and Exclusion (FDE) procedure iteratively, in order to exclude all faulty measurements and then ensure reliable positioning results. Since it is often only necessary to consider a single fault in a Receiver Autonomous Integrity Monitoring (RAIM) procedure, it would be ideal if a fault could be correctly identified. Thus, fault detection does not need to be applied in an iterative sense. One way of eva… Show more

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Cited by 17 publications
(10 citation statements)
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“…To analyse the performance of the residual chi-square detection method, the concept of a minimal detectable bias (MDB) is introduced. The MDB is defined as the model error that can just be detected with the detection method (Yang et al, 2013; Teunissen, 2017).…”
Section: Residual Chi-square Detection Methodsmentioning
confidence: 99%
“…To analyse the performance of the residual chi-square detection method, the concept of a minimal detectable bias (MDB) is introduced. The MDB is defined as the model error that can just be detected with the detection method (Yang et al, 2013; Teunissen, 2017).…”
Section: Residual Chi-square Detection Methodsmentioning
confidence: 99%
“…Combining the expressions of˜ and , it can be obtained that ≈ is established. From (17) and (18), it can be seen that the difference betweenX k and X k is related to the one step prediction of state estimationX k,k−1 , X k,k−1 and covariance matrixP ki , P k . According to the matrix theory, the relation between P k andP ki can be expressed as…”
Section: Performance Comparison Of the Two Methodsmentioning
confidence: 99%
“…In GNSS/INS integration, isolating the faulty subsystem will force the integrated system into the pure INS model, which will result in the decrease of the filtering precision [16]. Currently, the commonly used fault isolation method is identifying and isolating the faulty measurement by conducting the local test [17], [18]. After the isolation of the faulty measurements, the other normal measurements will be used for the measurement update process of the filter.…”
Section: Introductionmentioning
confidence: 99%
“…The above methods are mainly based on the predicted residual of Kalman filter. In geodetic surveying, the commonly used method is based on the least-squares residual (estimated residual) [26]. In order to apply the related methods of GNSS receiver autonomous integrity monitoring (RAIM) into GNSS/INS integration, Hewitson proposed an extended RAIM (eRAIM) through adopting least-squares principles for the state estimation in a Kalman filter [27].…”
Section: Introductionmentioning
confidence: 99%