Abstract
The modeling of double-difference GPS phase observations for short baselines leads to the condition that the ambiguity parameters must be integers as long as residual biases can be neglected. However, not always is the combination of those integers the best choice which lie closest to the unconstrained least-squares solution. Thus we may investigate quite a number of different ambiguity solutions and try to discern between them by means of statistical testing.
Since the discernibility between different hypotheses turns out to be basically a function of the respective non-centrality parameters we are able to define a corresponding measure, called AMBIGLOP, which reflects the geometric behavior of the satellites over time with respect to the instantaneous baseline under investigation, and which can somehow be related to the more popular measures like PDOP or RDOP, for example.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Dong, D.-N., Bock, Y. (1989). Global Positioning System Network Analysis with Phase Ambiguity Resolution Applied to Crustal Deformation Studies in California, Journal of Geophysical Research, Vol. 94, No. B4 pp 3949–3966
Euler, H.-J. (1990). Untersuchungen zum rationellen Einsatz des GPS in kleinraeumigen Netzen, Deutsche Geodaetische Kommission, Reihe C (in print)
Euler, H.-J., Becker, M., Sauermann, K. (1990). Rapid Ambiguity Fixing in Small-Scale Networks, GPS’90, September 3–7, 1990, Ottawa, Ontario, Canada
Goad, C.C. (1988). Investigation of an Alternate Method of Processing Global Positioning Survey Data Collected in Kinematic Mode, GPS-Techniques Applied to Geodesy and Surveying, Groten, E. and Strauss, R. (editors), Springer-Verlag
Hahn, M., Heck, B., Jäger, R., Scheuring, R. (1989). Ein Verfahren zur Abstimmung der Signifikanzniveaus für allgemeine Fm,n —verteilte Teststatistiken —Teil I: Theorie, ZfV Vol. 114, pp. 234–248.
Koch, K.-R. (1987). Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag
Langley, R.B., Beutler, G., Delikaraglou, D. Nickerson, B., Santerre, R., Vanicek, V., Wells, D.E. (1984). Studies in the Application of the Global Positioning System to Differential Positioning, Technical Report No. 108, University of New Brunswick
Lohmar, F.J. (1989). Aktuelle Informationen aus dem GPS- Planungsbuero, 22. DVWSeminar “Moderne Verfahren der Landesvermessung 12. bis 14. April 1989”, Universitaet der Bundeswehr, Muenchen
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag New York Inc.
About this paper
Cite this paper
Euler, HJ., Schaffrin, B. (1991). On a Measure for the Discernibility between Different Ambiguity Solutions in the Static-Kinematic GPS-Mode. In: Schwarz, KP., Lachapelle, G. (eds) Kinematic Systems in Geodesy, Surveying, and Remote Sensing. International Association of Geodesy Symposia, vol 107. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3102-8_26
Download citation
DOI: https://doi.org/10.1007/978-1-4612-3102-8_26
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97465-1
Online ISBN: 978-1-4612-3102-8
eBook Packages: Springer Book Archive