Towards interval-based autonomous integrity monitoring: Error bounding and uncertainty propagation
Mar 26, 2025
Reliable overbounding for stochastic IMU error models using interval analysis
Sep 19, 2024
Bounding the residual tropospheric error by interval analysis
GNSS integrity monitoring requires proper bounding to characterize all ranging error sources. Unlike classical approaches based on probabilistic assumptions, our alternative integrity approach depends on deterministic interval bounds as inputs. The intrinsically linear uncertainty propagation with intervals is adequate to describe remaining systematic uncertainty, the so-called imprecision. In this contribution, we make a proposal on how to derive the required intervals in order to quantify and bound the residual error for empirical troposphere models, based on the refined sensitivity analysis via interval arithmetic. This will contribute to a realistic uncertainty assessment of GNSS-based single point positioning.
Dec 24, 2022
Advances in deterministic approaches for bounding uncertainty and integrity monitoring of autonomous navigation
In this contribution, we aim to demonstrate the feasibility of applying the alternative integrity approach to autonomous navigation in terms of several key aspects, i.e., the handling of GNSS multipath effect in the urban environment, fault detection and exclusion, and further consideration of applying weighting models.
Sep 20, 2022
Improved observation interval bounding for multi-GNSS integrity monitoring in urban navigation
Sep 20, 2021