| 两种伪距单点定位模型最小二乘解的等价性证明 |
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| 引用本文： | 吕汉峰,吴杰,张良. 两种伪距单点定位模型最小二乘解的等价性证明[J]. 国防科技大学学报, 2014, 36(1): 34-40 |
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| 作者姓名： | 吕汉峰 吴杰 张良 |
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| 作者单位： | 国防科学技术大学 航天科学与工程学院,国防科学技术大学 航天科学与工程学院,国防科学技术大学 航天科学与工程学院 |
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| 摘 要： | 针对伪距单点定位解算中存在的两种定位模型的最小二乘解,给出了它们关于位置估计和定位精度等价性的推证过程。描述了伪距单点定位所采用的基本定位模型和单差定位模型,依据伪距观测值精度和单差基准分三种情况分别证明了两种模型的位置最小二乘解和定位精度是等价的,通过实测数据的定位解算验证了两种模型的等价性,并比较了两种模型的最小二乘算法的效率。
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| 关 键 词： | 伪距单点定位 伪距单差 最小二乘方法 卫星导航 |
| 收稿时间： | 2013-04-26 |
The Equivalence Prove of Least-Square Solutions for Two Single-Point Positioning Models |
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| LV Hanfeng,WU Jie and ZHANG Liang. The Equivalence Prove of Least-Square Solutions for Two Single-Point Positioning Models[J]. Journal of National University of Defense Technology, 2014, 36(1): 34-40 |
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| Authors: | LV Hanfeng WU Jie ZHANG Liang |
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| Affiliation: | College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China;College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China |
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| Abstract: | For the least-square solutions of two positioning models in single-point position, the process of proving equivalence of position estimation and its precision is given. The basic positioning model and single-difference positioning model are described respectively, then it arrange single-difference positioning model into three cases, and the least-square solution of each case is proved equal to that of basic positioning model. Finally, the equivalence of the two models checks out by processing the experiment data, and the efficiency of least-square arithmetic for the two models is compared with each other. |
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| Keywords: | single-point position single-differenced pseudo-range least square GNSS |
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