Abstract
The goal of Network RTK is to provide users with precise ionospheric corrections in order to conduct fast GPS ambiguity resolution and to get cm-level positioning results over medium-distance baselines. In this paper it is shown that a Network RTK user should apply the ratio test with fixed failure rate, having a threshold value that depends on the model at hand, as to test whether the estimated integer solution can be accepted with sufficient more likelihood than the second-best integer solution. Application of the traditional ratio test (with a fixed threshold value) may namely result in too many wrong fixes and consequently severe positioning errors. However, in the paper it is also demonstrated that the ratio test with fixed failure rate should be applied with care, since its correct performance depends on the correctness of the underlying model.
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References
Hernández-Pajares M, Juan JM, Sanz J, Orús R, GarcÃa-RodrÃguez A and Colombo O (2004) Wide Area Real-time Kinematics with Galileo and GPS signals, Proc. ION-GNSS 2004, Long Beach, CA, 21–24 Sep. 2004, 2541–2554
Leick A (2003) GPS satellite surveying, 3rd edn. Wiley, New York
Odijk D (1999) Stochastic modelling of the ionosphere for fast GPS ambiguity resolution. Geodesy beyond 2000. The challenges of the first decade, IAG General Assembly, Vol. 121, Birmingham, July 19–30 (1999), pp. 387–392
SCIGN (2008): http://www.scign.org
Teunissen PJG (1995) The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation. J Geod 70:65–82
Teunissen PJG (2005) Integer aperture bootstrapping: a new GNSS ambiguity estimator with controllable fail-rate. J Geod 79:389–397
Teunissen PJG, Verhagen S (2009) The GNSS ambiguity ratio-test revisited: a better way of using it. Surv Rev 41(312):138–151
Vollath U, Deking A, Landau H, Pagels C, and Wagner B (2000) Multi-base RTK positioning using Virtual Reference Stations. Proc. ION GPS-2000, Salt Lake City, UT, 19–22 September 2000
Acknowledgements
Professor Peter J.G. Teunissen is the recipient of an Australian Research Council Federation Fellowship (project number FF0883188). This support is greatly acknowledged. The research of Sandra Verhagen is supported by the Dutch Technology Foundation STW, applied science division of NWO and the Technology Program of the Dutch Ministry of Economic Affairs.
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© 2012 Springer-Verlag Berlin Heidelberg
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Odijk, D., Verhagen, S., Teunissen, P.J.G. (2012). Medium-Distance GPS Ambiguity Resolution with Controlled Failure Rate. In: Kenyon, S., Pacino, M., Marti, U. (eds) Geodesy for Planet Earth. International Association of Geodesy Symposia, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20338-1_93
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DOI: https://doi.org/10.1007/978-3-642-20338-1_93
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