navigation system integrity monitoring and fault detection process

摘要

An integrity monitoring and fault detection process for navigation systems (eg GPS) which includes a weighted Total Least Squares (TLS) analysis of an over-determined positioning problem, used to generate a test statistic indicating the self consistency of the linear model used in the TLS analysis. In addition, for a given over-determined positioning problem a fault detection threshold is determined for the test statistic, as a function of a specified probability of false alarm. Furthermore, appropriate weightings may be determined to be used in Total Least Squares solutions of over-determined positioning problems, such that emphasis can be given to the required dimensions to be protected, such as Vertical Protection Limits. Also, for a given over-determined positioning problem, a limit on position errors such as a Vertical Protection Limit can be determined, as a function of specified false alarm and missed detection probabilities.