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The success rate and precision of GPS ambiguities

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Abstract.

 An application of a theorem on the optimality of integer least-squares (LS) is described. This theorem states that the integer LS estimator maximizes the ambiguity success rate within the class of admissible integer estimators. This theorem is used to show how the probability of correct integer estimation depends on changes in the second moment of the ambiguity `float' solution. The distribution of the `float' solution is considered to be a member of the broad family of elliptically contoured distributions. Eigenvalue-based bounds for the ambiguity success rate are obtained.

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Authors and Affiliations

  1. Department of Mathematical Geodesy and Positioning, Faculty of Civil Engineering and Geosciences, Delft University of Technology, Thijsseweg 11, 2629 JA Delft, The Netherlands e-mail: p.j.g.teunissen@geo.tudelft.nl; Tel.: +31 15 278 2558; Fax: +31 15 278 3711, , , , , , NL

    P. J. G. Teunissen

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  1. P. J. G. Teunissen
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Received: 11 January 1999 / Accepted: 2 November 1999

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Teunissen, P. The success rate and precision of GPS ambiguities. Journal of Geodesy 74, 321–326 (2000). https://doi.org/10.1007/s001900050289

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  • DOI: https://doi.org/10.1007/s001900050289

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