caa a22 4500 475737350 CHVBK 20180406123450.0 cr unu---uuuuu 170329e20000501xx s 000 0 eng 10.1007/s001900050289 doi (NATIONALLICENCE)springer-10.1007/s001900050289 Teunissen P. J. G. 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 aut The success rate and precision of GPS ambiguities [Elektronische Daten] [P. J. G. Teunissen] 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 'sfloat' solution. The distribution of the 'sfloat' 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. Springer-Verlag Berlin Heidelberg, 2000 Key words: GPS - Integer LS - Ambiguity precision - Ambiguity success rate nationallicence https://doi.org/10.1007/s001900050289 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001900050289 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Teunissen P. J. G. 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 aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer