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: | Article |
| Language: | English |
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MDPI AG
2017-06-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/17/7/1508 |
| _version_ | 1828154140619964416 |
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| author | Peter J. G. Teunissen Davide Imparato Christian C. J. M. Tiberius |
| author_facet | Peter J. G. Teunissen Davide Imparato Christian C. J. M. Tiberius |
| author_sort | Peter J. G. Teunissen |
| collection | DOAJ |
| 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 | 2024-04-11T22:35:10Z |
| format | Article |
| id | doaj.art-97a7d1308ccc41c6bb9f1c0ec64333e4 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T22:35:10Z |
| publishDate | 2017-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-97a7d1308ccc41c6bb9f1c0ec64333e42022-12-22T03:59:14ZengMDPI AGSensors1424-82202017-06-01177150810.3390/s17071508s17071508Does RAIM with Correct Exclusion Produce Unbiased Positions?Peter J. G. Teunissen0Davide Imparato1Christian C. J. M. Tiberius2GNSS Research Centre, Curtin University of Technology, 6845 Perth, AustraliaGNSS Research Centre, Curtin University of Technology, 6845 Perth, AustraliaDepartment of Geoscience and Remote Sensing, Delft University of Technology, 2628 CN Delft, The NetherlandsAs 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.http://www.mdpi.com/1424-8220/17/7/1508Receiver Autonomous Integrity Monitoring (RAIM)best linear unbiased estimation (BLUE)statistical hypothesis Testingmissed detection (MD)correct detection (CD)correct identification (CI)level of significancebiasGlobal Navigation Satellite System (GNSS) |
| spellingShingle | Peter J. G. Teunissen Davide Imparato Christian C. J. M. Tiberius Does RAIM with Correct Exclusion Produce Unbiased Positions? Sensors Receiver Autonomous Integrity Monitoring (RAIM) best linear unbiased estimation (BLUE) statistical hypothesis Testing missed detection (MD) correct detection (CD) correct identification (CI) level of significance bias Global Navigation Satellite System (GNSS) |
| 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 |
| topic | Receiver Autonomous Integrity Monitoring (RAIM) best linear unbiased estimation (BLUE) statistical hypothesis Testing missed detection (MD) correct detection (CD) correct identification (CI) level of significance bias Global Navigation Satellite System (GNSS) |
| url | http://www.mdpi.com/1424-8220/17/7/1508 |
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