Pull-Out Probability Considerations in High Dynamics GNSS Tracking Loops Design

Abstract

In this paper approximated expressions for the pull- out probability of digital tracking loops are derived. The analysis is done for a PLL and for a UFA-PLL recently introduced in P.A. Roncagliolo and J.G. Garcia (2007), as a structure for high dynamic applications. The considered dynamics is modeled as acceleration steps and the loop filter used is designed with a fully digital technique presented previously. These expressions allow to quantify the role of the different loop parameters, such as the integration time and loop bandwidth, at the design stage and to choose them more efficiently. Monte Carlo simulations for 20 g acceleration steps showing the usefulness and limitations of these approximations are presented.