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Integer estimability in GNSS networks
https://orcid.org/0000-0002-5051-8233
https://orcid.org/0000-0003-4143-6006
Abstract Estimability and $$\mathcal {S}$$-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.
Integer estimability in GNSS networks
https://orcid.org/0000-0002-5051-8233
https://orcid.org/0000-0003-4143-6006
Abstract Estimability and $$\mathcal {S}$$-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.
Integer estimability in GNSS networks
https://orcid.org/0000-0002-5051-8233
https://orcid.org/0000-0003-4143-6006
Abstract Estimability and $$\mathcal {S}$$-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.
Integer estimability in GNSS networks
Khodabandeh, A. (author) / Teunissen, P. J. G. (author)
Journal of Geodesy ; 93
2019
Article (Journal)
English
BKL:
38.73
Geodäsie
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