Symmetric Overbounding of Time-Correlated Errors
Jason H. Rife, Demoz Gebre‐Egziabher · Proceedings of the 19th International Technical Meeting of the Satellite Division of The Institute of Navigation (ION GNSS 2006) · 2006
In aviation navigation systems such as the Ground-Based and Space-Based Augmentation Systems (GBAS and SBAS) for GPS, it is critical for users to compute a conservative navigation error bound during precision approach and landing. This paper describes a method for overbounding outputs of linear systems (i.e., conservatively describing their error distributions). Whereas earlier overbounding methods apply only to sets of independent samples, the methods developed in this paper handle samples drawn from correlated time series, so long as those samples have a probability distribution which a linear mapping can make spherically symmetric. Conservative error bounds constructed with these methods are useful in modeling the worst-case performance of filters under a wide range of environmental conditions. An example illustrates howsymmetric bounding could enable aircraft to apply usercustomized filtering to differential GPS corrections in GBAS or SBAS.