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On a Measure for the Discernibility between Different Ambiguity Solutions in the Static-Kinematic GPS-Mode

  • Conference paper
Kinematic Systems in Geodesy, Surveying, and Remote Sensing

Part of the book series: International Association of Geodesy Symposia ((IAG SYMPOSIA,volume 107))

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.

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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

    Google Scholar 

  • Euler, H.-J. (1990). Untersuchungen zum rationellen Einsatz des GPS in kleinraeumigen Netzen, Deutsche Geodaetische Kommission, Reihe C (in print)

    Google Scholar 

  • Euler, H.-J., Becker, M., Sauermann, K. (1990). Rapid Ambiguity Fixing in Small-Scale Networks, GPS’90, September 3–7, 1990, Ottawa, Ontario, Canada

    Google Scholar 

  • 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

    Google Scholar 

  • 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.

    Google Scholar 

  • Koch, K.-R. (1987). Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag

    Google Scholar 

  • 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

    Google Scholar 

  • 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

    Google Scholar 

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© 1991 Springer-Verlag New York Inc.

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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

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  • 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

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