Success probability of integer GPS ambiguity rounding and bootstrapping |
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Authors: | P J G Teunissen |
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Institution: | (1) Delft Geodetic Computing Centre (LGR), Faculty of Geodesy, Delft University of Technology, Thijsseweg 11, 2629 JA, The Netherlands E-mail: P.J.G. Teunissen@geo.tudelft.nl, NL |
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Abstract: | Global Positioning System ambiguity resolution is usually based on the integer least-squares principle (Teunissen 1993).
Solution of the integer least-squares problem requires both the execution of a search process and an ambiguity decorrelation
step to enhance the efficiency of this search. Instead of opting for the integer least-squares principle, one might also want
to consider less optimal integer solutions, such as those obtained through rounding or sequential rounding. Although these
solutions are less optimal, they do have one advantage over the integer least-squares solution: they do not require a search
and can therefore be computed directly. However, in order to be confident that these less optimal solutions are still good
enough for the application at hand, one requires diagnostic measures to predict their rate of success. These measures of confidence
are presented and it is shown how they can be computed and evaluated.
Received: 24 March 1998 / Accepted: 8 June 1998 |
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Keywords: | , GPS ambiguity,Probability,Integer rounding,Integer bootstrapping |
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