The affine constrained GNSS attitude model and its multivariate integer least-squares solution
A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it...
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| Format: | Journal Article |
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Springer - Verlag
2012
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| Online Access: | http://link.springer.com/article/10.1007%2Fs00190-011-0538-z http://hdl.handle.net/20.500.11937/36430 |
| _version_ | 1848754768205316096 |
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| author | Teunissen, Peter |
| author_facet | Teunissen, Peter |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it still has a significantly improved ambiguity resolution performance over its unconstrained counterpart. The functional and stochastic model is formulated in multivariate form, for one-, two- and three-dimensional antenna arrays, tracking GNSS signals on an arbitrary number of frequencies with two or more antennas. The stochastic model includes the capability to capture variations in the antenna quality within the array. The multivariate integer least squares solution of the model parameters is given and the model’s ambiguity success-rate is analysed by means of the ambiguity dilution of precision (ADOP). A general closed form expression for the affine-constrained ADOP is derived, thus providing an easy-to-use and insightful rule-of-thumb for the ambiguity resolution capabilities of the affine constrained GNSS attitude model. |
| first_indexed | 2025-11-14T08:45:39Z |
| format | Journal Article |
| id | curtin-20.500.11937-36430 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:45:39Z |
| publishDate | 2012 |
| publisher | Springer - Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-364302017-09-13T15:52:26Z The affine constrained GNSS attitude model and its multivariate integer least-squares solution Teunissen, Peter attitude determination global navigation satellite systems multivariate integer least squares estimation affine constrained attitude model ambiguity dilution of precision A new global navigation satellite system (GNSS) carrier-phase attitude model and its solution are introduced in this contribution. This affine-constrained GNSS attitude model has the advantage that it avoids the computational complexity of the orthonormality-constrained GNSS attitude model, while it still has a significantly improved ambiguity resolution performance over its unconstrained counterpart. The functional and stochastic model is formulated in multivariate form, for one-, two- and three-dimensional antenna arrays, tracking GNSS signals on an arbitrary number of frequencies with two or more antennas. The stochastic model includes the capability to capture variations in the antenna quality within the array. The multivariate integer least squares solution of the model parameters is given and the model’s ambiguity success-rate is analysed by means of the ambiguity dilution of precision (ADOP). A general closed form expression for the affine-constrained ADOP is derived, thus providing an easy-to-use and insightful rule-of-thumb for the ambiguity resolution capabilities of the affine constrained GNSS attitude model. 2012 Journal Article http://hdl.handle.net/20.500.11937/36430 10.1007/s00190-011-0538-z http://link.springer.com/article/10.1007%2Fs00190-011-0538-z Springer - Verlag fulltext |
| spellingShingle | attitude determination global navigation satellite systems multivariate integer least squares estimation affine constrained attitude model ambiguity dilution of precision Teunissen, Peter The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title | The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title_full | The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title_fullStr | The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title_full_unstemmed | The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title_short | The affine constrained GNSS attitude model and its multivariate integer least-squares solution |
| title_sort | affine constrained gnss attitude model and its multivariate integer least-squares solution |
| topic | attitude determination global navigation satellite systems multivariate integer least squares estimation affine constrained attitude model ambiguity dilution of precision |
| url | http://link.springer.com/article/10.1007%2Fs00190-011-0538-z http://hdl.handle.net/20.500.11937/36430 |