Precision, volume and eigenspectra for GPS ambiguity
estimation based on the time-averaged satellite geometry |
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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 Delft, The Netherlands, NL |
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| Abstract: | In this contribution we consider the
time-averaged GPS single-baseline model and study in a qualitative sense its
relation with the geometry-free model and the geometry-based model. The
least-squares estimators of the model are derived and their properties
discussed. Special attention is given to the ambiguity search space, since it
plays such a crucial role in the problem of integer ambiguity estimation and
validation. Easy-to-evaluate, closed-form expressions are presented for the
volumes of the ambiguity search spaces that belong to the geometry-free model,
the single-epoch geometry-based model and the time-averaged model. By means of
an eigenvalue analysis, the geometry of the ambiguity search spaces is revealed
and its impact on the search for the integer least-squares ambiguities
discussed.
Received: 3 April 1996; Accepted: 6 January 1997 |
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| Keywords: | , GPS,ambiguity,volume |
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