The Effect Analysis of Observation Errors and Satellite Geometry to Ambiguity Validation Test of Carrier Phase-Based GNSS

In carrier phase-based GNSS(Global Navigation Satellite System) positioning, the determination of correct integer ambiguities is the key issue to get high precision positioning results. Therefore, much effort has been made to develop a vital quality control procedure, which can effectively validate the ambiguity resolution results. Such a quality control procedure has been traditionally based on a so-called F-ratio. A major shortcoming for this F-ratio is that its probability distribution is still unknown. Recently, a W-ratio test has been proposed to provide a more rigorous quality control procedure. This paper presents a series of sensitivity analysis for the two validation tests. The analysis will cover the performance analyses of both of the F and W-ratio with respect to undetected gross errors, un-modelled (reminding) systematic errors, and various specifications in the stochastic models, as well as geometry strengths relating to a variety of satellite constellation, such as GPS, GPS/pseudolites and GPS/Galileo integration.