Improved observation interval bounding for multi-GNSS integrity monitoring in urban navigation
Abstract
Integrity monitoring is of great importance for Global Navigation Satellite Systems (GNSS) applications. Unlike classical approaches based on probabilistic assumptions, the alternative interval-based integrity approach depends on deterministic interval bounds as inputs. Different from a quadratic variance propagation, the interval approach has intrinsically a linear uncertainty propagation which is adequate to describe remaining systematic uncertainty. In order to properly characterize all ranging error sources and determine the improved observation interval bounds, a processing scheme is proposed in this contribution.
We validated for a first time how the sensitivity analysis is feasible to determine uncertainty intervals for residual ionospheric errors and residual tropospheric errors, taking advantage of long-term statistics against reference data. Transforming the navigation problem into a convex optimization problem, the interval bounds are propagated from the range domain to the position domain. We implemented this strategy for multi-GNSS positioning in an experiment with static data from International GNSS Service (IGS) station Potsdam (POTS) and an experiment with kinematic data from a measurement campaign conducted in the urban area of Hannover, Germany, on August 26, 2020.
Jingyao Su
Doctoral researcher of GNSS navigation
My research interests include GNSS navigation, integrity monitoring and uncertainty modeling with interval mathematics.
Prof. Steffen Schön
Professor for positioning and navigation at IfE, Leibniz University Hannover
Spokesman of the DFG Research Training Group GRK2159 (i.c.sens), dean of studies Geodesy and Geoinformatics, and Liaison professor of the Studienstiftung des deutschen Volkes