The mean and the variance matrix of the ‘fixed’ GPS baseline.
In this contribution we determine the first two moments of the 'fixed' GPS baseline. The first two moments of the 'float' solution are well-known. They follow from standard adjustment theory. In order to determine the corresponding moments of the 'fixed' solution, the p...
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| Format: | Journal Article |
| Language: | English |
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1999
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| Online Access: | http://hdl.handle.net/20.500.11937/32743 |
| _version_ | 1848753747974422528 |
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| author | Teunissen, Peter |
| author_facet | Teunissen, Peter |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this contribution we determine the first two moments of the 'fixed' GPS baseline. The first two moments of the 'float' solution are well-known. They follow from standard adjustment theory. In order to determine the corresponding moments of the 'fixed' solution, the probabilistic characteristics of the integer least-squares ambiguities need to be taken into account. It is shown that the 'fixed' GPS baseline estimator is unbiased in case the probability density function of the real-valued least-squares ambiguity vector is symmetric about its integer mean. We also determine the variance matrix of the 'fixed' GPS baseline. This matrix differs from the one which is usually used in practice. The difference between the two matrices is made up of the precision contribution of the integer least-squares ambiguities. |
| first_indexed | 2025-11-14T08:29:26Z |
| format | Journal Article |
| id | curtin-20.500.11937-32743 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T08:29:26Z |
| publishDate | 1999 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-327432017-01-30T13:32:53Z The mean and the variance matrix of the ‘fixed’ GPS baseline. Teunissen, Peter Bias - Precision - GPS Baseline - Ambiguity Resolution In this contribution we determine the first two moments of the 'fixed' GPS baseline. The first two moments of the 'float' solution are well-known. They follow from standard adjustment theory. In order to determine the corresponding moments of the 'fixed' solution, the probabilistic characteristics of the integer least-squares ambiguities need to be taken into account. It is shown that the 'fixed' GPS baseline estimator is unbiased in case the probability density function of the real-valued least-squares ambiguity vector is symmetric about its integer mean. We also determine the variance matrix of the 'fixed' GPS baseline. This matrix differs from the one which is usually used in practice. The difference between the two matrices is made up of the precision contribution of the integer least-squares ambiguities. 1999 Journal Article http://hdl.handle.net/20.500.11937/32743 en restricted |
| spellingShingle | Bias - Precision - GPS Baseline - Ambiguity Resolution Teunissen, Peter The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title | The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title_full | The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title_fullStr | The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title_full_unstemmed | The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title_short | The mean and the variance matrix of the ‘fixed’ GPS baseline. |
| title_sort | mean and the variance matrix of the ‘fixed’ gps baseline. |
| topic | Bias - Precision - GPS Baseline - Ambiguity Resolution |
| url | http://hdl.handle.net/20.500.11937/32743 |