Integer Ambiguity Resolution with Nonlinear Geometrical Constraints
Integer ambiguity resolution is the key to obtain very accurate positioning solutions out of the GNSS observations. The Integer Least Squares (ILS) principle, a derivation of the least-squares principle applied to a linear system of equations in which some of the unknowns are subject to an integer c...
| Main Authors: | , , , |
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| Format: | Book Chapter |
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Springer
2012
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| Online Access: | http://link.springer.com/chapter/10.1007/978-3-642-22078-4_6 http://hdl.handle.net/20.500.11937/11379 |
| _version_ | 1848747789989707776 |
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| author | Giorgi, G Teunissen, Peter Verhagen, S Buist, Peter |
| author2 | Nico Sneeuw |
| author_facet | Nico Sneeuw Giorgi, G Teunissen, Peter Verhagen, S Buist, Peter |
| author_sort | Giorgi, G |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Integer ambiguity resolution is the key to obtain very accurate positioning solutions out of the GNSS observations. The Integer Least Squares (ILS) principle, a derivation of the least-squares principle applied to a linear system of equations in which some of the unknowns are subject to an integer constraint, was demonstrated to be optimal among the class of admissible integer estimators. In this contribution it is shown how to embed into the functional model a set of nonlinear geometrical constraints, which arise when considering a set of antennae mounted on a rigid platform. A method to solve for the new model is presented and tested: it is shown that the strengthened underlying model leads to an improved capacity of fixing the correct integer ambiguities. |
| first_indexed | 2025-11-14T06:54:44Z |
| format | Book Chapter |
| id | curtin-20.500.11937-11379 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:54:44Z |
| publishDate | 2012 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-113792023-02-02T07:57:37Z Integer Ambiguity Resolution with Nonlinear Geometrical Constraints Giorgi, G Teunissen, Peter Verhagen, S Buist, Peter Nico Sneeuw Pavel Novak Mattia Crespi Fernando Sanso Constrained methods GNSS Integer ambiguity resolution Integer ambiguity resolution is the key to obtain very accurate positioning solutions out of the GNSS observations. The Integer Least Squares (ILS) principle, a derivation of the least-squares principle applied to a linear system of equations in which some of the unknowns are subject to an integer constraint, was demonstrated to be optimal among the class of admissible integer estimators. In this contribution it is shown how to embed into the functional model a set of nonlinear geometrical constraints, which arise when considering a set of antennae mounted on a rigid platform. A method to solve for the new model is presented and tested: it is shown that the strengthened underlying model leads to an improved capacity of fixing the correct integer ambiguities. 2012 Book Chapter http://hdl.handle.net/20.500.11937/11379 http://link.springer.com/chapter/10.1007/978-3-642-22078-4_6 Springer restricted |
| spellingShingle | Constrained methods GNSS Integer ambiguity resolution Giorgi, G Teunissen, Peter Verhagen, S Buist, Peter Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title | Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title_full | Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title_fullStr | Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title_full_unstemmed | Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title_short | Integer Ambiguity Resolution with Nonlinear Geometrical Constraints |
| title_sort | integer ambiguity resolution with nonlinear geometrical constraints |
| topic | Constrained methods GNSS Integer ambiguity resolution |
| url | http://link.springer.com/chapter/10.1007/978-3-642-22078-4_6 http://hdl.handle.net/20.500.11937/11379 |