On GNSS acceptance tests
Integer carrier phase ambiguity resolution is the key to fast and high precision global navigation satellite system (GNSS) positioning and application. Apart from integer estimation, also acceptance tests are part of the ambiguity resolution process. A popular acceptance test is the so-called ratio-...
| Main Authors: | , |
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| Format: | Conference Paper |
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IGNSS
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/24832 |
| _version_ | 1848751538027102208 |
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| author | Teunissen, Peter Verhagen, S. |
| author_facet | Teunissen, Peter Verhagen, S. |
| author_sort | Teunissen, Peter |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Integer carrier phase ambiguity resolution is the key to fast and high precision global navigation satellite system (GNSS) positioning and application. Apart from integer estimation, also acceptance tests are part of the ambiguity resolution process. A popular acceptance test is the so-called ratio-test. In this contribution we study the properties and the underlying concepts of the ratio-test. We discuss some misconceptions of the ratio-test and in particular show that the ratio-test is not a test for testing the correctness of the integer least-squares solution. We also show that the common usage of the ratio-test with a fixed critical value has shortcomings. Instead, the fixed failure rate approach is recommended. This approach, which is part of the more general theory of integer aperture estimation, has the advantage that the times to first fix are reduced, while it is guaranteed that the failure rate does not exceed a user-defined value. Results of the fixed failure-rate ratio test are illustrated with a number of examples. |
| first_indexed | 2025-11-14T07:54:19Z |
| format | Conference Paper |
| id | curtin-20.500.11937-24832 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:54:19Z |
| publishDate | 2007 |
| publisher | IGNSS |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-248322017-01-30T12:45:10Z On GNSS acceptance tests Teunissen, Peter Verhagen, S. fixed failure rate integer - aperture estimation integer ambiguity resolution GNSS ratio test Integer carrier phase ambiguity resolution is the key to fast and high precision global navigation satellite system (GNSS) positioning and application. Apart from integer estimation, also acceptance tests are part of the ambiguity resolution process. A popular acceptance test is the so-called ratio-test. In this contribution we study the properties and the underlying concepts of the ratio-test. We discuss some misconceptions of the ratio-test and in particular show that the ratio-test is not a test for testing the correctness of the integer least-squares solution. We also show that the common usage of the ratio-test with a fixed critical value has shortcomings. Instead, the fixed failure rate approach is recommended. This approach, which is part of the more general theory of integer aperture estimation, has the advantage that the times to first fix are reduced, while it is guaranteed that the failure rate does not exceed a user-defined value. Results of the fixed failure-rate ratio test are illustrated with a number of examples. 2007 Conference Paper http://hdl.handle.net/20.500.11937/24832 IGNSS fulltext |
| spellingShingle | fixed failure rate integer - aperture estimation integer ambiguity resolution GNSS ratio test Teunissen, Peter Verhagen, S. On GNSS acceptance tests |
| title | On GNSS acceptance tests |
| title_full | On GNSS acceptance tests |
| title_fullStr | On GNSS acceptance tests |
| title_full_unstemmed | On GNSS acceptance tests |
| title_short | On GNSS acceptance tests |
| title_sort | on gnss acceptance tests |
| topic | fixed failure rate integer - aperture estimation integer ambiguity resolution GNSS ratio test |
| url | http://hdl.handle.net/20.500.11937/24832 |