Uncertainty in GPS networks due to remaining systematic errors

The interval approach

verfasst von
Steffen Schön, H. Kutterer
Abstract

A realistic assessment of the total uncertainty budget of Global Positioning System (GPS) observations and its adequate mathematical treatment is a basic requirement for all analysis and interpretation of GPS-derived point positions, in particular GPS heights, and their respective changes. This implies not only the random variability but also the remaining systematic errors. At present in geodesy, the main focus is on stochastic approaches in which errors are modeled by means of random variables. Here, an alternative approach based on interval mathematics is presented. It allows us to model and to quantify the impact of remaining systematic errors in GPS carrier-phase observations on the final results using deterministic error bands. In this paper, emphasis is given to the derivation of the observation intervals based on influence parameters and to the study of the complex linear transfer of this type of uncertainty to estimated point positions yielding zonotopes. From the presented simulation studies of GPS baselines, it turns out that the uncertainty due to remaining systematic effects dominates the total uncertainty budget for baselines longer than 200 km.

Organisationseinheit(en)
Institut für Erdmessung
Typ
Artikel
Journal
Journal of geodesy
Band
80
Seiten
150-162
Anzahl der Seiten
13
ISSN
0949-7714
Publikationsdatum
04.04.2006
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Geophysik, Geochemie und Petrologie, Computer in den Geowissenschaften
Elektronische Version(en)
https://doi.org/10.1007/s00190-006-0042-z (Zugang: Unbekannt)
 

Details im Forschungsportal „Research@Leibniz University“