The probability distribution of the ambiguity bootstrapped GNSS baseline |
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Authors: | P J G Teunissen |
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Institution: | (1) Department of Mathematical Geodesy and Positioning, 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 |
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Abstract: | The purpose of carrier phase ambiguity resolution is to improve upon the quality of the estimated global navigation satellite
system baseline by means of the integer ambiguity constraints. However, in order to evaluate the quality of the ambiguity
resolved baseline rigorously, its probability distribution is required. This baseline distribution depends on the random characteristics
of the estimated integer ambiguities, which in turn depend on the chosen integer estimator. In this contribution is presented
an exact and closed-form expression for the baseline distribution in the case that use is made of integer bootstrapping. Also
presented are the bootstrapped probability mass function and easy-to-compute measures for the bootstrapped baseline's probability
of concentration.
Received: 28 September 2000 / Accepted: 11 January 2001 |
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Keywords: | : Global Navigation Satellite System Ambiguity Resolution – Integer Bootstrapping – Probability Mass Function – Multi-modal Baseline Distribution |
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