Integer aperture GNSS ambiguity resolution
GNSS carrier phase ambiguity resolution is the key to fast and high-precision satellite positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. In (Teunissen, 1998, 1999) we introduced the class of admissible integer (I) estimators a...
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| Format: | Journal Article |
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Versita
2003
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| Online Access: | http://hdl.handle.net/20.500.11937/27352 |
| _version_ | 1848752239980576768 |
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| author | Teunissen, Peter |
| author_facet | Teunissen, Peter |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | GNSS carrier phase ambiguity resolution is the key to fast and high-precision satellite positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. In (Teunissen, 1998, 1999) we introduced the class of admissible integer (I) estimators and showed that the integer least-squares estimator is the optimal ambiguity estimator within this class. In (Teunissen, 2002a, b) we introduced the class of integer equivariant (IE) estimators and determined the best ambiguity estimator within this class. This best integer equivariant estimator is unbiased and of minimum variance. In the present contribution we will introduce a third class of ambiguity estimators. This class of integer aperture (IA) estimators is larger than the I-class, but smaller than the IE-class. The IA-estimator is of a hybrid nature since its outcome may be integer-valued or real-valued. We also give a probabilistic description of IA-estimators. This is needed in order to be able to propagate the inherent uncertainty in the data rigorously and to give a proper probabilistic evaluation of the final result. The framework of IA-estimation also incorporates the important problem of ambiguity discernibility. By setting the size and shape of the integer aperture pull-in region of an IA-estimator, the user has control over the fail-rate of the estimator and thus also over the amount of discernibility. |
| first_indexed | 2025-11-14T08:05:28Z |
| format | Journal Article |
| id | curtin-20.500.11937-27352 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:05:28Z |
| publishDate | 2003 |
| publisher | Versita |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-273522017-01-30T12:58:32Z Integer aperture GNSS ambiguity resolution Teunissen, Peter Satellite Positioning Galileo GPS Navigation GNSS carrier phase ambiguity resolution is the key to fast and high-precision satellite positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. In (Teunissen, 1998, 1999) we introduced the class of admissible integer (I) estimators and showed that the integer least-squares estimator is the optimal ambiguity estimator within this class. In (Teunissen, 2002a, b) we introduced the class of integer equivariant (IE) estimators and determined the best ambiguity estimator within this class. This best integer equivariant estimator is unbiased and of minimum variance. In the present contribution we will introduce a third class of ambiguity estimators. This class of integer aperture (IA) estimators is larger than the I-class, but smaller than the IE-class. The IA-estimator is of a hybrid nature since its outcome may be integer-valued or real-valued. We also give a probabilistic description of IA-estimators. This is needed in order to be able to propagate the inherent uncertainty in the data rigorously and to give a proper probabilistic evaluation of the final result. The framework of IA-estimation also incorporates the important problem of ambiguity discernibility. By setting the size and shape of the integer aperture pull-in region of an IA-estimator, the user has control over the fail-rate of the estimator and thus also over the amount of discernibility. 2003 Journal Article http://hdl.handle.net/20.500.11937/27352 Versita fulltext |
| spellingShingle | Satellite Positioning Galileo GPS Navigation Teunissen, Peter Integer aperture GNSS ambiguity resolution |
| title | Integer aperture GNSS ambiguity resolution |
| title_full | Integer aperture GNSS ambiguity resolution |
| title_fullStr | Integer aperture GNSS ambiguity resolution |
| title_full_unstemmed | Integer aperture GNSS ambiguity resolution |
| title_short | Integer aperture GNSS ambiguity resolution |
| title_sort | integer aperture gnss ambiguity resolution |
| topic | Satellite Positioning Galileo GPS Navigation |
| url | http://hdl.handle.net/20.500.11937/27352 |