Theory of carrier phase ambiguity resolution
Carrier phase ambiguity resolution is the key to high precision Global Navigation Satellite System (GNSS) positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. A proper handling of carrier phase ambiguity resolution requires a prop...
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| Format: | Journal Article |
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Wuhan University, co-published with Springer
2003
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| Online Access: | http://hdl.handle.net/20.500.11937/47701 |
| _version_ | 1848757906131910656 |
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| author | Teunissen, Peter |
| author_facet | Teunissen, Peter |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Carrier phase ambiguity resolution is the key to high precision Global Navigation Satellite System (GNSS) positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. A proper handling of carrier phase ambiguity resolution requires a proper understanding of the underlying theory of integer inference. In this contribution a brief review is given of the probabilistic theory of integer ambiguity estimation. We describe the concept of ambiguity pull-in regions, introduce the class of admissible integer estimators, determine their probability mass functions and show how their variability affect the uncertainty in the so-called ‘fixed’ baseline solution. The theory is worked out in more detail for integer least-squares and integer bootstrapping. It is shown that the integer least-squares principle maximizes the probability of correct integer estimation. Sharp and easy-to-compute bounds are given for both the ambiguity success rate and the baseline’s probability of concentration. Finally the probability density function of the ambiguity residuals is determined. This allows one for the first time to formulate rigorous tests for the integerness of the parameters. |
| first_indexed | 2025-11-14T09:35:32Z |
| format | Journal Article |
| id | curtin-20.500.11937-47701 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:35:32Z |
| publishDate | 2003 |
| publisher | Wuhan University, co-published with Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-477012017-09-13T15:57:40Z Theory of carrier phase ambiguity resolution Teunissen, Peter GNSS - ambiguity resolution - integer least-squares Carrier phase ambiguity resolution is the key to high precision Global Navigation Satellite System (GNSS) positioning and navigation. It applies to a great variety of current and future models of GPS, modernized GPS and Galileo. A proper handling of carrier phase ambiguity resolution requires a proper understanding of the underlying theory of integer inference. In this contribution a brief review is given of the probabilistic theory of integer ambiguity estimation. We describe the concept of ambiguity pull-in regions, introduce the class of admissible integer estimators, determine their probability mass functions and show how their variability affect the uncertainty in the so-called ‘fixed’ baseline solution. The theory is worked out in more detail for integer least-squares and integer bootstrapping. It is shown that the integer least-squares principle maximizes the probability of correct integer estimation. Sharp and easy-to-compute bounds are given for both the ambiguity success rate and the baseline’s probability of concentration. Finally the probability density function of the ambiguity residuals is determined. This allows one for the first time to formulate rigorous tests for the integerness of the parameters. 2003 Journal Article http://hdl.handle.net/20.500.11937/47701 10.1007/BF02899809 Wuhan University, co-published with Springer fulltext |
| spellingShingle | GNSS - ambiguity resolution - integer least-squares Teunissen, Peter Theory of carrier phase ambiguity resolution |
| title | Theory of carrier phase ambiguity resolution |
| title_full | Theory of carrier phase ambiguity resolution |
| title_fullStr | Theory of carrier phase ambiguity resolution |
| title_full_unstemmed | Theory of carrier phase ambiguity resolution |
| title_short | Theory of carrier phase ambiguity resolution |
| title_sort | theory of carrier phase ambiguity resolution |
| topic | GNSS - ambiguity resolution - integer least-squares |
| url | http://hdl.handle.net/20.500.11937/47701 |