GNSS ambiguity resolution with optimally controlled failure-rate

Abstract

GNSS carrier phase ambiguity resolution is the key to fast and high- precision satellite positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. In [Teunissen, 2003] we described the general principle of integer aperture (IA) ambiguity estimation. In the present contribution we will derive the optimal IA-estimator. The optimal IA-estimator is defined as the estimator which has the largest possible success rate given a user-defined fail rate. Hence, it is the optimal estimator for which the fail rate can be controlled.