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.
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Received: 3 April 1996; Accepted: 6 January 1997
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Teunissen, P. Precision, volume and eigenspectra for GPS ambiguity estimation based on the time-averaged satellite geometry. Journal of Geodesy 71, 290–301 (1997). https://doi.org/10.1007/s001900050097
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DOI: https://doi.org/10.1007/s001900050097