Position-Domain Non-Gaussian Error Overbounding for ARAIM

Abstract

The non-Gaussian observation error is a threat for advanced receiver autonomous integrity monitoring (ARAIM), because the protection level of ARAIM based on the Gaussian distribution assumption is insufficient to envelope the positioning error (PE), and the probability of hazardously misleading information (PHMI) is difficult to be satisfied. The traditional non-Gaussian overbounding method is limited by the correlation among observation errors, and the deteriorated continuity risk resulting from the conservative inflation factor for overbounding, simultaneously. We propose an enhanced ARAIM method by position-domain non-Gaussian error overbounding. Furthermore, the upper bound of the inflation factor is imposed to release the conservativeness of overbounding. The simulation and the real-world data are utilized to test the proposed method. The simulation experiment has shown that the global worldwide availability level can be increased to 99.99% by using the proposed method. The real-word data experiment reveals that the proposed method can simultaneously satisfy the integrity risk and continuity risk with the boundary of the inflation factor.

An Error Overbounding Method Based on a Gaussian Mixture Model with Uncertainty Estimation for a Dual-Frequency Ground-Based Augmentation System

“…For single-frequency augmentation systems, several excellent studies on the overbound of the independent errors include the CDF overbound [14,15,18], paired overbound [19,20], position-domain monitor [21][22][23] and two-step overbound [24]. Among all these approaches, the CDF overbound is the only one that is adopted in the standard GBAS.…”

Long Baseline Tightly Coupled DGNSS Positioning with Ionosphere-Free Inter-System Bias Calibration

“…# positioning epochs # total positioning epochs (12) To manifest the difference between different receiver pairs, the positioning continuity rates are compared in Figure 8. Positioning continuity is another important metric reflecting positioning performances [13,14,16,36]. Positioning continuity with different cutoff elevation angles is shown in Table 9.…”

A multi-parameter stable-distribution-based protection levels calculation method for ground-based augmentation systems integrity assessment

“…4 In the practical application of GBAS, according to the International Civil Aviation Organization (ICAO) and the Radio Technical Commission for Aeronautics' (RTCA) recommendations, the aircraft assumes that the ranging error information sent by the ground stations follows a zeromean Gaussian distribution and uses this to calculate the confidence upper bound of the positioning error, the protection level. 5 However, in the actual situation, the errors caused by ground reflection and other conditions may be non-Gaussian and non-zero mean, 6 which will result in excessive standard deviation of the actual error and cause potential integrity risks. 7 In order to ensure the reliability of the protection level, a technique called overbound is commonly used in current satellite navigation augmentation 1 College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing, P. R. China 2 States Key Laboratory of Air Traffic Management System and Technology, Nanjing, P. R. China 3 Nanjing Center for Applied Mathematics, Nanjing, P. R. China 4 Nottingham Geospatial Institute, University of Nottingham, Nottingham, UK systems.…”