Does RAIM with correct exclusion produce unbiased positions?
As the navigation solution of exclusion-based RAIM follows from a combination of least-squares estimation and a statistically based exclusion-process, the computation of the integrity of the navigation solution has to take the propagated uncertainty of the combined estimation-testing procedure into...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
MDPI Publishing
2017
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| Online Access: | http://hdl.handle.net/20.500.11937/54783 |
| _version_ | 1848759459921264640 |
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| author | Teunissen, Peter Imparato, D. Tiberius, C. |
| author_facet | Teunissen, Peter Imparato, D. Tiberius, C. |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | As the navigation solution of exclusion-based RAIM follows from a combination of least-squares estimation and a statistically based exclusion-process, the computation of the integrity of the navigation solution has to take the propagated uncertainty of the combined estimation-testing procedure into account. In this contribution, we analyse, theoretically as well as empirically, the effect that this combination has on the first statistical moment, i.e., the mean, of the computed navigation solution. It will be shown, although statistical testing is intended to remove biases from the data, that biases will always remain under the alternative hypothesis, even when the correct alternative hypothesis is properly identified. The a posteriori exclusion of a biased satellite range from the position solution will therefore never remove the bias in the position solution completely. |
| first_indexed | 2025-11-14T10:00:14Z |
| format | Journal Article |
| id | curtin-20.500.11937-54783 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:00:14Z |
| publishDate | 2017 |
| publisher | MDPI Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-547832017-09-28T08:45:36Z Does RAIM with correct exclusion produce unbiased positions? Teunissen, Peter Imparato, D. Tiberius, C. As the navigation solution of exclusion-based RAIM follows from a combination of least-squares estimation and a statistically based exclusion-process, the computation of the integrity of the navigation solution has to take the propagated uncertainty of the combined estimation-testing procedure into account. In this contribution, we analyse, theoretically as well as empirically, the effect that this combination has on the first statistical moment, i.e., the mean, of the computed navigation solution. It will be shown, although statistical testing is intended to remove biases from the data, that biases will always remain under the alternative hypothesis, even when the correct alternative hypothesis is properly identified. The a posteriori exclusion of a biased satellite range from the position solution will therefore never remove the bias in the position solution completely. 2017 Journal Article http://hdl.handle.net/20.500.11937/54783 10.3390/s17071508 http://creativecommons.org/licenses/by/4.0/ MDPI Publishing fulltext |
| spellingShingle | Teunissen, Peter Imparato, D. Tiberius, C. Does RAIM with correct exclusion produce unbiased positions? |
| title | Does RAIM with correct exclusion produce unbiased positions? |
| title_full | Does RAIM with correct exclusion produce unbiased positions? |
| title_fullStr | Does RAIM with correct exclusion produce unbiased positions? |
| title_full_unstemmed | Does RAIM with correct exclusion produce unbiased positions? |
| title_short | Does RAIM with correct exclusion produce unbiased positions? |
| title_sort | does raim with correct exclusion produce unbiased positions? |
| url | http://hdl.handle.net/20.500.11937/54783 |