Ambiguity-Resolved Model Tests for Carrier-Phase GNSS
Although the theory of mixed-integer inference is well developed for GNSS parameter estimation, such is not yet the case for the validation and monitoring of mixed-integer GNSS carrier-phase models. It is the goal of this research to contribute to this field by introducing a class of mixed-integer m...
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MDPI AG
2025-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/7/3531 |
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| author | Peter J. G. Teunissen |
| author_facet | Peter J. G. Teunissen |
| author_sort | Peter J. G. Teunissen |
| collection | DOAJ |
| description | Although the theory of mixed-integer inference is well developed for GNSS parameter estimation, such is not yet the case for the validation and monitoring of mixed-integer GNSS carrier-phase models. It is the goal of this research to contribute to this field by introducing a class of mixed-integer model (MIM) tests for carrier-phase GNSS. Members from this class and their distributional properties are worked out for different model validation applications relevant to GNSS, such as detection, identification, significance testing, and integer testing. The power performance of the various tests is characterized, thereby showing how they are capable of significantly outperforming the customary ambiguity-float tests. |
| format | Article |
| id | doaj-art-1d3337ebce7d4c45bb2b9236533f26b7 |
| institution | DOAJ |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-1d3337ebce7d4c45bb2b9236533f26b72025-08-20T03:06:31ZengMDPI AGApplied Sciences2076-34172025-03-01157353110.3390/app15073531Ambiguity-Resolved Model Tests for Carrier-Phase GNSSPeter J. G. Teunissen0Department of Geoscience and Remote Sensing, Delft University of Technology, 2628 CD Delft, The NetherlandsAlthough the theory of mixed-integer inference is well developed for GNSS parameter estimation, such is not yet the case for the validation and monitoring of mixed-integer GNSS carrier-phase models. It is the goal of this research to contribute to this field by introducing a class of mixed-integer model (MIM) tests for carrier-phase GNSS. Members from this class and their distributional properties are worked out for different model validation applications relevant to GNSS, such as detection, identification, significance testing, and integer testing. The power performance of the various tests is characterized, thereby showing how they are capable of significantly outperforming the customary ambiguity-float tests.https://www.mdpi.com/2076-3417/15/7/3531GNSSmixed-integer model (MIM) testinteger ambiguity estimationambiguity success rategeneralized Chi-squared distributionsignificance test |
| spellingShingle | Peter J. G. Teunissen Ambiguity-Resolved Model Tests for Carrier-Phase GNSS Applied Sciences GNSS mixed-integer model (MIM) test integer ambiguity estimation ambiguity success rate generalized Chi-squared distribution significance test |
| title | Ambiguity-Resolved Model Tests for Carrier-Phase GNSS |
| title_full | Ambiguity-Resolved Model Tests for Carrier-Phase GNSS |
| title_fullStr | Ambiguity-Resolved Model Tests for Carrier-Phase GNSS |
| title_full_unstemmed | Ambiguity-Resolved Model Tests for Carrier-Phase GNSS |
| title_short | Ambiguity-Resolved Model Tests for Carrier-Phase GNSS |
| title_sort | ambiguity resolved model tests for carrier phase gnss |
| topic | GNSS mixed-integer model (MIM) test integer ambiguity estimation ambiguity success rate generalized Chi-squared distribution significance test |
| url | https://www.mdpi.com/2076-3417/15/7/3531 |
| work_keys_str_mv | AT peterjgteunissen ambiguityresolvedmodeltestsforcarrierphasegnss |