GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm
Correctly fixing the integer ambiguity of GNSS is the key to realizing the application of GNSS high-precision positioning. When solving the float solution of ambiguity based on the double-difference model epoch by epoch, the common method for resolving the integer ambiguity needs to solve the coordi...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-01-01
|
| Series: | Sensors |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1424-8220/25/2/321 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832587607198924800 |
|---|---|
| author | Ning Liu Shuangcheng Zhang Xiaoli Wu Yu Shen |
| author_facet | Ning Liu Shuangcheng Zhang Xiaoli Wu Yu Shen |
| author_sort | Ning Liu |
| collection | DOAJ |
| description | Correctly fixing the integer ambiguity of GNSS is the key to realizing the application of GNSS high-precision positioning. When solving the float solution of ambiguity based on the double-difference model epoch by epoch, the common method for resolving the integer ambiguity needs to solve the coordinate parameter information, due to the influence of limited GNSS phase data observations. This type of method will lead to an increase in the ill-posedness of the double-difference solution equation, so that the fixed success rate of the integer ambiguity is not high. Therefore, a new integer ambiguity resolution method based on eliminating coordinate parameters and ant colony algorithm is proposed in this paper. The method eliminates the coordinate parameters in the observation equation using QR decomposition transformation, and only estimates the ambiguity parameters using the Kalman filter. On the basis that the Kalman filter will obtain the float solution of ambiguity, the decorrelation processing is carried out based on continuous Cholesky decomposition, and the optimal solution of integer ambiguity is searched using the ant colony algorithm. Two sets of static and dynamic GPS experimental data are used to verify the method and compared with conventional least squares and LAMBDA methods. The results show that the new method has good decorrelation effect, which can correctly and effectively realize the integer ambiguity resolution. |
| format | Article |
| id | doaj-art-ee7ddfc0e8c648058420dd0cc32aa8c9 |
| institution | Kabale University |
| issn | 1424-8220 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj-art-ee7ddfc0e8c648058420dd0cc32aa8c92025-01-24T13:48:30ZengMDPI AGSensors1424-82202025-01-0125232110.3390/s25020321GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony AlgorithmNing Liu0Shuangcheng Zhang1Xiaoli Wu2Yu Shen3College of Geology Engineering and Geomatics, Chang’an University, Xi’an 710054, ChinaCollege of Geology Engineering and Geomatics, Chang’an University, Xi’an 710054, ChinaShaanxi Satellite Application Technology Center of Natural Resources, Xi’an 710119, ChinaCollege of Geology Engineering and Geomatics, Chang’an University, Xi’an 710054, ChinaCorrectly fixing the integer ambiguity of GNSS is the key to realizing the application of GNSS high-precision positioning. When solving the float solution of ambiguity based on the double-difference model epoch by epoch, the common method for resolving the integer ambiguity needs to solve the coordinate parameter information, due to the influence of limited GNSS phase data observations. This type of method will lead to an increase in the ill-posedness of the double-difference solution equation, so that the fixed success rate of the integer ambiguity is not high. Therefore, a new integer ambiguity resolution method based on eliminating coordinate parameters and ant colony algorithm is proposed in this paper. The method eliminates the coordinate parameters in the observation equation using QR decomposition transformation, and only estimates the ambiguity parameters using the Kalman filter. On the basis that the Kalman filter will obtain the float solution of ambiguity, the decorrelation processing is carried out based on continuous Cholesky decomposition, and the optimal solution of integer ambiguity is searched using the ant colony algorithm. Two sets of static and dynamic GPS experimental data are used to verify the method and compared with conventional least squares and LAMBDA methods. The results show that the new method has good decorrelation effect, which can correctly and effectively realize the integer ambiguity resolution.https://www.mdpi.com/1424-8220/25/2/321integer ambiguityQR decomposition transformationKalman filterCholesky decompositionant colony algorithmdecorrelation processing |
| spellingShingle | Ning Liu Shuangcheng Zhang Xiaoli Wu Yu Shen GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm Sensors integer ambiguity QR decomposition transformation Kalman filter Cholesky decomposition ant colony algorithm decorrelation processing |
| title | GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm |
| title_full | GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm |
| title_fullStr | GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm |
| title_full_unstemmed | GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm |
| title_short | GPS Phase Integer Ambiguity Resolution Based on Eliminating Coordinate Parameters and Ant Colony Algorithm |
| title_sort | gps phase integer ambiguity resolution based on eliminating coordinate parameters and ant colony algorithm |
| topic | integer ambiguity QR decomposition transformation Kalman filter Cholesky decomposition ant colony algorithm decorrelation processing |
| url | https://www.mdpi.com/1424-8220/25/2/321 |
| work_keys_str_mv | AT ningliu gpsphaseintegerambiguityresolutionbasedoneliminatingcoordinateparametersandantcolonyalgorithm AT shuangchengzhang gpsphaseintegerambiguityresolutionbasedoneliminatingcoordinateparametersandantcolonyalgorithm AT xiaoliwu gpsphaseintegerambiguityresolutionbasedoneliminatingcoordinateparametersandantcolonyalgorithm AT yushen gpsphaseintegerambiguityresolutionbasedoneliminatingcoordinateparametersandantcolonyalgorithm |