Special Issue: Application of GPS and other space geodetic techniques to Earth Sciences (1)
- Open Access
Minimal Detectable Biases of GPS observations for a weighted ionosphere
Earth, Planets and Space volume 52, pages 857–862 (2000)
The theory and application of statistical quality control is well established in precise positioning, navigation and geodesy. Quality control is made up of several contributing factors, one of which is internal reliability. Internal reliability describes the ability to find biases in observational data and is represented by the Minimal Detectable Bias (MDB). The MDB provides a diagnostic tool to infer the strength with which positioning models can be validated. In this contribution closed-form expressions will be given for the MDBs of GPS code and carrier observations for three different baseline models: the geometry-free model and two variants of the geometry-based model. These expressions apply toany numberofcarrier frequencies. The expressions take into account the presence of ionospheric disturbances by weighting these effects. As such, they are applicable to baselines of any length.
Baarda, W., Statistical Concepts in Geodesy, Netherlands Geodetic Commission, Publications on Geodesy, New Series, vol. 2, no. 4, 74 pp., 1967.
Baarda, W., A testing procedure for use in geodetic networks, Netherlands Geodetic Commission, Publications on Geodesy, New Series, vol. 2, no. 5, 97 pp., 1968.
Euler, H. J. and C. Goad, On optimal filtering of GPS dual-frequency observations without using orbit information, Bulletin Géodésique, 65, pp. 130–143, 1991.
de Jong, C.D., Real-time integrity monitoringofdual-frequency GPS observations for a single receiver, Acta Geodaetica et Geophysica Hungarica, 31, pp. 37–46, 1996.
de Jong, C. D., Principles and Applications of Permanent GPS Arrays, 105 pp., Delft University Press, Delft, 1997.
de Jong, C. D., Aunified approachtoreal-timeintegrity monitoring of single-and dual frequency GPS and Glonass observations, Acta Geodaetica et Geophysica Hungarica, 33, pp. 247–257, 1998.
de Jong, C. D., Reliability of GPS observations using a weighted ionosphere, 1999 (in preparation).
Jonkman, N. F., Integer GPS Ambiguity Resolution without the Receiver-satellite Geometry, LGR-series, no. 18, 95pp., Delft Geodetic Computing Centre, Delft, 1998.
Schaffrin, B. and Y. Bock, A unified scheme for processing GPS dual-band phase observations, Bulletine Géodésique, 62, pp. 142–160, 1988.
Teunissen, P. J. G., Quality control in geodetic networks, in Optimization and Design of Geodetic Networks, edited by E. W. Grafarend and F. Sanso, pp. 526–547, Springer, Berlin Heidelberg New York, 1985.
Teunissen, P. J. G., An analytical study of ambiguity decorrelation using dual-frequency code and carrier phase, J. Geod., 70, pp. 515–528, 1996.
Teunissen, P. J. G., Minimal Detectable Biases of GPS data, J. Geod., 72, pp. 236–244, 1998.
About this article
Cite this article
de Jong, K., Teunissen, P.J.G. Minimal Detectable Biases of GPS observations for a weighted ionosphere. Earth Planet Sp 52, 857–862 (2000). https://doi.org/10.1186/BF03352295
- Baseline Model
- Ionospheric Disturbance
- Geodetic Network
- Carrier Outlier
- Ionospheric Variance