GNSS Differential Positioning by Robust Estimation
Publication: Journal of Surveying Engineering
Volume 134, Issue 1
Abstract
Robust estimation yields more accurate results than least-squares estimation in the presence of undesirable errors. It has been recently applied to the process of GNSS differential positioning in the standard fashion of iteratively reweighted least squares. We propose an improvement of the technique, based on a previous result by which robust estimation is truly robust only if considered as a global optimization problem. Robust estimation by global optimization techniques will prove to be an even more powerful method, capable of solving problematic baselines that are nonsolvable by classic methods.
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References
Baselga, S. (2007). “A global optimization solution of robust estimation.” J. Surv. Eng., 133(3), 123–128.
Frei, E., and Beutler, G. (1990). “Rapid static positioning based on the fast ambiguity resolution approach ‘FARA’: Theory and first results.” Manuscr. Geod., 15(6), 325–356.
García-Asenjo, L., López, D., and Martín, M. (2004). “Las Palmas de Gran Canaria Council town network reference frame testing.” Rep. on the Symp. of the IAG SubCommision for Europe (EUREF), EUREF, Toledo, Spain, 346–346.
Hartinger, H., and Brunner, F. K. (1999). “Variances of GPS phase observations: The SIGMA- model.” GPS Solutions, 2(4), 35–43.
Hatch, R. (1990). “Instantaneous ambiguity resolution.” Proc. IAG Int.Symp. 107, Banff, Canada, 299–308.
Kim, D., and Langley, R. B. (2000). “GPS ambiguity resolution and validation: Methodologies, trends and issues.” Proc. 7th GNSS Workshop—Int. Symp. on GPS/GNSS, Seoul, Korea, 213–221.
Leick, A. (2003). GPS satellite surveying, 3rd Ed., Wiley, New York.
Milbert, D. G. (1985) “A note on observation decorrelation, variances of residuals and redundancy numbers.” Bull. Geod., 59(1), 71–80.
Teunissen, P. J. G. (1995). “The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation.” J. Geodesy, Berlin, 70(1–2), 65–82.
Wieser, A., and Brunner, F. (2002). “Short static GPS sessions: Robust estimation results.” GPS Solutions, 5(3), 70–79.
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© 2008 ASCE.
History
Received: Jan 22, 2007
Accepted: May 21, 2007
Published online: Feb 1, 2008
Published in print: Feb 2008
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