| 基于加权总体最小二乘法的GPS高程拟合 |
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| 引用本文： | 赵辉,张书毕,张秋昭.基于加权总体最小二乘法的GPS高程拟合[J].大地测量与地球动力学,2011,31(5):88-90. |
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| 作者姓名： | 赵辉 张书毕 张秋昭 |
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| 作者单位： | 1) 中国矿业大学环境与测绘学院，徐州 221008 2) 国土环境与灾害监测国家测绘局重点实验室，徐州 221008 |
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| 基金项目： | 江苏省普通高校研究生科研创新计划项目(CXLX11-0323) |
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| 摘 要： | 在GPS高程拟合中，针对传统最小二乘方法不能解决系数矩阵存在误差的问题，提出了一种基于加权总体最小二乘的拟合方法。对平面和二次曲面多项式建立更加合理的拟合模型，并给出了相应的迭代算法。实例计算表明，加权最小二乘方法能够得到更好的估计参数，高程异常值拟合精度也相应提高。
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| 关 键 词： | GPS高程 多项式拟合 EIV模型 最小二乘 加权总体最小二乘 |
GPS HEIGHT FITTING OF WEIGHTED TOTAL LEAST-SQUARES ADJUSTMENT |
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| Zhao Hui,Zhang Shubi,Zhang Qiuzhao.GPS HEIGHT FITTING OF WEIGHTED TOTAL LEAST-SQUARES ADJUSTMENT[J].Journal of Geodesy and Geodynamics,2011,31(5):88-90. |
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| Authors: | Zhao Hui Zhang Shubi Zhang Qiuzhao |
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| Institution: | 1)School of Environment and Spatial Informatics, China University of Mining and Technology, Xuzhou 2210082)Key Laboratory for Land Environment and Disaster Monitoring of SBSM, Xuzhou 221008 |
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| Abstract: | In GPS height fitting,a new method of Weighted Total Least-Squares adjustment(WTLS) is presented for solving the error of coefficient matrix.A more reasonable fitting model of plane and quadric polynomial is established,and the corresponding iterative algorithm is given.The examples of calculations show that the polynomial parameter is more reasonable and the solved height anomaly is more accurate. |
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| Keywords: | GPS height polynomial fitting errors-in-variables model least square weighted total least-square |
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