Global Navigation Satellite System Fault Detection Protection Level Using Parametrized Quadratic Programming

Abstract

With the aim to benefit vertical guidance in performance-based navigation using the multiconstellation global navigation satellite systems, this research addresses the integrity of the detection and exclusion of faulty global navigation satellite system measurements with the parameterized quadratic programming (PQP) method proposed in prior research. In particular, the PQP method is integrated with the vertical protection level of the solution separation advanced receiver autonomous integrity monitoring in the case of fault detection. The numerical example included in this work suggests that the PQP method is worthy of further studies to support fault detection for vertical guidance in the Approach with Vertical Guidance-I and the category I precision approach. An alternative parameter tuning method based on the kernel density estimation is also proposed to reduce the vertical protection level and the associated lower and upper bounds. It is also demonstrated how the PQP method can be used to determine the number of faulty measurements in the example provided in this paper.