| 拟合推估两步极小解法 |
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| 引用本文： | 杨元喜,刘念.拟合推估两步极小解法[J].测绘学报,2002,31(3):192-195. |
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| 作者姓名： | 杨元喜 刘念 |
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| 作者单位： | 1. 西安测绘研究所,陕西西安,710054
2. 国家测绘局第一地形测量队,陕西西安,710054 |
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| 基金项目： | 国家自然科学基金，国家自然科学基金，49825107，49874006，， |
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| 摘 要： | 在回顾了最小二乘拟合推估的“综合极小”解法（正常拟合推估）后，分析了正常拟合推估存在的问题。考虑到随机场信号不一定完全表现为随机性，其中可能含有趋势性，顾而提出了拟合推估的“两步极小”解法，即将随机场分成趋势性部分和随机性部分，对趋势性部分采用函数拟合，对随机性部分采用协方差函数拟合。给出了“分两步极小”拟合推估的2种解法。计算表明，两步极小解法能部分地改善拟合推估的精度。
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| 关 键 词： | 两步极小解法 拟合推估 协方差函数 测量误差 |
| 文章编号： | 1001-1595(2002)03-0192-04 |
A New Resolution of Collocation by Two Minimization Steps |
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| YANG Yuan xi ,LIU Nian.A New Resolution of Collocation by Two Minimization Steps[J].Acta Geodaetica et Cartographica Sinica,2002,31(3):192-195. |
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| Authors: | YANG Yuan xi LIU Nian |
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| Institution: | YANG Yuan xi 1,LIU Nian 2 |
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| Abstract: | After reviewing the least squares collocation, we analyze the problems existing in the normal collocation.Considering that the signal of a stochastic field not only contains stochastic information, but also contains some systematic trend.Based on the background that the stochastic field which is to be calculated or fitted can be divided into two parts,one is the systematic part and the other is a stochastic part.So a new collocation method is developed in this paper. It is combined by two minimization steps, a function fitting and a stochastic collocation or the opposite. Two calculation strategies are presented. Numerical calculation results show that the solution accuracy supplied by the new collocation methods is slightly improved. |
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| Keywords: | collocation covariance function synthetic minimization two steps' minimization |
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