| Double-Epoch Algorithm in Rapid Positioning Using Single Frequency GPS Receivers |
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| 作者姓名： | WANGZhenjie OUJikun LIUGenyou RENChao |
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| 作者单位： | [1]FacultyofArchitecturalEngineering,ShandongUniversityofTechnology,Zibo255012,China. [2]不详,ShandongUniversityofTechnology,Zibo255012,China. |
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| 摘 要： | A new algorithm, called as Double-Epoch Algorithm (DEA) is proposed in GPS rapid positioning using two epoch single frequency phase data in this paper. Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIKHONOV regularization theorem, a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained, using two epoch single frequency phase data. Combined with LAMBDA method, DEA can fix the integer ambiguities correctly and quickly using MSEM instead of the covariance matrix of the ambiguities. Compared with the traditional methods, DEA can improve the efficiency obviously in rapid positioning. So, the new algorithm has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning and attitude determination, etc.
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| 关 键 词： | GPS定位 DEA 正则 误差矩阵 平均方差 |
| 收稿时间： | 17 May 2004 |
Double-epoch algorithm in rapid positioning using single frequency GPS receivers |
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| WANGZhenjie OUJikun LIUGenyou RENChao.Double-Epoch Algorithm in Rapid Positioning Using Single Frequency GPS Receivers[J].Geo-Spatial Information Science,2004,7(4):284-289. |
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| Authors: | Wang Zhenjie Ou Jikun Liu Genyou Ren Chao |
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| Institution: | (1) Faculty of Architectural Engineering, Shandong University of Technology, 255012 Zibo, China |
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| Abstract: | A new algorithm, called as Double-Epoch Algorithm (DEA) is proposed in GPS rapid positioning using two epoch single frequency phase data in this paper. Firstly, the structure characteristic of the normal matrix in GPS rapid positioning is analyzed. Then, in the light of the characteristic, based on TIKHONOV regularization theorem, a new regularizer is designed to mitigate the ill-condition of the normal matrix. The accurate float ambiguity solutions and their MSEM (Mean Squared Error Matrix) are obtained, using two epoch single frequency phase data. Combined with LAMBDA method, DEA can fix the integer ambiguities correctly and quickly using MSEM instead of the covariance matrix of the ambiguities. Compared with the traditional methods, DEA can improve the efficiency obviously in rapid positioning. So, the new algorithm has an extensive application outlook in deformation monitoring, pseudokinematic relative positioning and attitude determination, etc. |
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| Keywords: | GPS rapid positioning DEA ill-condition regularizer mean squared error matrix ambiguity |
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