Does RAIM with Correct Exclusion Produce Unbiased Positions?
Open Access
Abstract
As the navigation solution of exclusion-based RAIM follows from a combination of least-squares estimation and a statistically based exclusion-process, the computation of the integrity of the navigation solution has to take the propagated uncertainty of the combined estimation-testing procedure into account. In this contribution, we analyse, theoretically as well as empirically, the effect that this combination has on the first statistical moment, i.e., the mean, of the computed navigation solution. It will be shown, although statistical testing is intended to remove biases from the data, that biases will always remain under the alternative hypothesis, even when the correct alternative hypothesis is properly identified. The a posteriori exclusion of a biased satellite range from the position solution will therefore never remove the bias in the position solution completely.Keywords
This publication has 14 references indexed in Scilit:
- A Geometry-Based Cycle Slip Detection and Repair Method with Time-Differenced Carrier Phase (TDCP) for a Single Frequency Global Position System (GPS) + BeiDou Navigation Satellite System (BDS) ReceiverSensors, 2016
- Fault detection and exclusion using solution separation and chi-squared ARAIMIEEE Transactions on Aerospace and Electronic Systems, 2016
- Outlier Detection in GNSS Pseudo-Range/Doppler Measurements for Robust LocalizationSensors, 2016
- Galileo: The Added Value for Integrity in Harsh EnvironmentsSensors, 2016
- Solution Separation Versus Residual-Based RAIMNAVIGATION: Journal of the Institute of Navigation, 2014
- Evaluation of Different Outlier Detection Methods for GPS NetworksSensors, 2008
- Fault Detection and Exclusion Using Normalized Solution Separation and Residual Monitoring MethodsNAVIGATION: Journal of the Institute of Navigation, 2003
- A Multiple Hypothesis Approach to Satellite Navigation IntegrityNAVIGATION: Journal of the Institute of Navigation, 1998
- Navigation System Integrity Monitoring Using Redundant MeasurementsNAVIGATION: Journal of the Institute of Navigation, 1988
- Autonomous GPS Integrity Monitoring Using the Pseudorange ResidualNAVIGATION: Journal of the Institute of Navigation, 1988