Integer estimability in GNSS networks

Journal Article (2019)
Author(s)

A. Khodabandeh (University of Melbourne)

P. J.G. Teunissen (Curtin University, TU Delft - Civil Engineering & Geosciences)

Research Group
Mathematical Geodesy and Positioning
DOI related publication
https://doi.org/10.1007/s00190-019-01282-6 Final published version
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Publication Year
2019
Language
English
Research Group
Mathematical Geodesy and Positioning
Journal title
Journal of Geodesy
Issue number
9
Volume number
93
Pages (from-to)
1805-1819
Downloads counter
190
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Abstract

Estimability and S-systems are important concepts when dealing with rank-defect models. In this contribution, we generalize the concept of estimability to integer estimability and determine the necessary and sufficient conditions that need to be satisfied for parameter functions to be integer estimable. This is then worked out and applied to the integer estimability analysis of GNSS observation equations. We hereby consider both network ambiguity resolution and single-receiver PPP-RTK ambiguity resolution. In our analyses, use is made of graph theory and properties of the ambiguity incidence matrices of the bipartite and connected network graphs.