Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks
In this paper we propose an outlier detection approach for GNSS vector networks based on the specific direction (i.e., SD approach), along which the test statistic constructed reaches the maximum. We derive the unit vector of this specific direction in detail, and prove that the unit vector is the s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-04-01
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| Series: | Sensors |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1424-8220/19/8/1836 |
| _version_ | 1811184879335899136 |
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| author | Yufeng Nie Ling Yang Yunzhong Shen |
| author_facet | Yufeng Nie Ling Yang Yunzhong Shen |
| author_sort | Yufeng Nie |
| collection | DOAJ |
| description | In this paper we propose an outlier detection approach for GNSS vector networks based on the specific direction (i.e., SD approach), along which the test statistic constructed reaches the maximum. We derive the unit vector of this specific direction in detail, and prove that the unit vector is the same as that determined by the outlier estimates in three-dimensional (3D) approach, while the distribution of the maximum test statistic in this direction is the square root of <i>Chi</i>-squared distribution. Therefore, eliminating an outlier along this specific direction can get the same result as that of eliminating all three components of outlier vector in 3D approach. The mathematical equivalence of SD approach and 3D approach is further demonstrated by a real GNSS network. Moreover, preliminary application of the SD approach to detect the abnormal antenna height measurement is carried out in terms of numerical simulations of multiple baseline solutions, and it shows that the SD approach can effectively detect baselines that are directly infected by corresponding receiver antenna height errors. |
| first_indexed | 2024-04-11T13:20:57Z |
| format | Article |
| id | doaj.art-0ae6c244f0aa4576bee726c4183b1332 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T13:20:57Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-0ae6c244f0aa4576bee726c4183b13322022-12-22T04:22:12ZengMDPI AGSensors1424-82202019-04-01198183610.3390/s19081836s19081836Specific Direction-Based Outlier Detection Approach for GNSS Vector NetworksYufeng Nie0Ling Yang1Yunzhong Shen2College of Surveying and Geo-informatics, Tongji University, Shanghai 200092, ChinaCollege of Surveying and Geo-informatics, Tongji University, Shanghai 200092, ChinaCollege of Surveying and Geo-informatics, Tongji University, Shanghai 200092, ChinaIn this paper we propose an outlier detection approach for GNSS vector networks based on the specific direction (i.e., SD approach), along which the test statistic constructed reaches the maximum. We derive the unit vector of this specific direction in detail, and prove that the unit vector is the same as that determined by the outlier estimates in three-dimensional (3D) approach, while the distribution of the maximum test statistic in this direction is the square root of <i>Chi</i>-squared distribution. Therefore, eliminating an outlier along this specific direction can get the same result as that of eliminating all three components of outlier vector in 3D approach. The mathematical equivalence of SD approach and 3D approach is further demonstrated by a real GNSS network. Moreover, preliminary application of the SD approach to detect the abnormal antenna height measurement is carried out in terms of numerical simulations of multiple baseline solutions, and it shows that the SD approach can effectively detect baselines that are directly infected by corresponding receiver antenna height errors.https://www.mdpi.com/1424-8220/19/8/1836outlier detectionGNSS networksbaseline vectorantenna height |
| spellingShingle | Yufeng Nie Ling Yang Yunzhong Shen Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks Sensors outlier detection GNSS networks baseline vector antenna height |
| title | Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks |
| title_full | Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks |
| title_fullStr | Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks |
| title_full_unstemmed | Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks |
| title_short | Specific Direction-Based Outlier Detection Approach for GNSS Vector Networks |
| title_sort | specific direction based outlier detection approach for gnss vector networks |
| topic | outlier detection GNSS networks baseline vector antenna height |
| url | https://www.mdpi.com/1424-8220/19/8/1836 |
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