“…the number of predicted states × the number of model errors under consideration (e.g. Hewitson and Wang, 2007). The matrix C v t used in Equations (15) 200…”
Section: Lo Ca L Va L I D At I O N O F T H E O B S E Rvat I O N S U Smentioning
The use of single-receiver single-satellite data validation parameters for numerical and graphical diagnostics of the multi-frequency observations is presented. This method validates Global Navigation Satellite System (GNSS) measurements of a single receiver where data from each satellite are independently processed using a geometry-free observation model with a reparameterised form of the unknowns. The method is applicable to any GNSS with any number of frequencies. The diagnostic tools are based on checking agreement of characteristics of the validation test statistics against theory. The use of these diagnostics in static and kinematic modes is demonstrated using multiple-frequency data from three GNSS constellations; Global Positioning System (GPS), Globalnaya Navigatsionnaya Sputnikovaya Sistema (GLONASS) and Galileo.
“…the number of predicted states × the number of model errors under consideration (e.g. Hewitson and Wang, 2007). The matrix C v t used in Equations (15) 200…”
Section: Lo Ca L Va L I D At I O N O F T H E O B S E Rvat I O N S U Smentioning
The use of single-receiver single-satellite data validation parameters for numerical and graphical diagnostics of the multi-frequency observations is presented. This method validates Global Navigation Satellite System (GNSS) measurements of a single receiver where data from each satellite are independently processed using a geometry-free observation model with a reparameterised form of the unknowns. The method is applicable to any GNSS with any number of frequencies. The diagnostic tools are based on checking agreement of characteristics of the validation test statistics against theory. The use of these diagnostics in static and kinematic modes is demonstrated using multiple-frequency data from three GNSS constellations; Global Positioning System (GPS), Globalnaya Navigatsionnaya Sputnikovaya Sistema (GLONASS) and Galileo.
“…In the last two decades, a significant effort has been made in aviation to develop integrity monitoring systems Hewitson (2003); Walter & Enge (1995). Integrity is defined as a measure of the trust which can be placed in the correctness of the information supplied by the total system; integrity includes the ability of a system to provide timely and valid measurements to users ESA (n.d.).…”
Section: Integrity Of Localization Systemsmentioning
confidence: 99%
“…Three key components have been proposed for integrity monitoring: 1) fault detection, 2) fault isolation, and 3) removal of faulty measurement sources from the estimates Hewitson et al (2004). The European Geostationary Navigation Overlay Service (EGNOS) and the Wide Area Augmentation System (WAAS), Hewitson (2003), are developed to form a redundant source of information for the Global Navigation Satellite Systems (GNSS) in order to perform integrity monitoring by providing correction information.…”
Section: Integrity Of Localization Systemsmentioning
“…Using the results of these studies Li (1986) then defined the Minimal Separable Bias (MSB) as the smallest bias that can be confidently identified for a set Type III error. Applying the MSB to the field of navigation, the separability of various satellite constellations has been analysed by Hewitson et al (2004), and Hewitson and Wang (2006).…”
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 evaluating whether fault detection needs to be reapplied is to determine the probability of a wrong exclusion. To date, however, limited progress has been made in evaluating such probabilities. In this paper the relationships between different parameters are analysed in terms of the probability of correct and incorrect identification. Using this knowledge, a practical strategy for incorporating the probability of a wrong exclusion into the FDE procedure is developed. The theoretical findings are then demonstrated using a GPS single point positioning example.
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