Details
| Original language | English |
|---|---|
| Pages (from-to) | 150-162 |
| Number of pages | 13 |
| Journal | Journal of geodesy |
| Volume | 80 |
| Issue number | 3 |
| Publication status | Published - 4 Apr 2006 |
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.
Keywords
- GPS, Imprecision, Interval mathematics, Systematic errors, Troposphere, Zonotopes
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Geophysics
- Earth and Planetary Sciences(all)
- Geochemistry and Petrology
- Earth and Planetary Sciences(all)
- Computers in Earth Sciences
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In: Journal of geodesy, Vol. 80, No. 3, 04.04.2006, p. 150-162.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Uncertainty in GPS networks due to remaining systematic errors
T2 - The interval approach
AU - Schön, Steffen
AU - Kutterer, H.
PY - 2006/4/4
Y1 - 2006/4/4
N2 - 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.
AB - 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.
KW - GPS
KW - Imprecision
KW - Interval mathematics
KW - Systematic errors
KW - Troposphere
KW - Zonotopes
UR - http://www.scopus.com/inward/record.url?scp=33745065704&partnerID=8YFLogxK
U2 - 10.1007/s00190-006-0042-z
DO - 10.1007/s00190-006-0042-z
M3 - Article
AN - SCOPUS:33745065704
VL - 80
SP - 150
EP - 162
JO - Journal of geodesy
JF - Journal of geodesy
SN - 0949-7714
IS - 3
ER -