| 具有不确定性平差算法 |
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| 引用本文： | 王志忠,陈丹华,宋迎春.具有不确定性平差算法[J].测绘学报,2017,46(7):834-840. |
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| 作者姓名： | 王志忠 陈丹华 宋迎春 |
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| 作者单位： | 1. 中南大学地球信息科学与物理学院, 湖南 长沙 410083;2. 中南大学数学与统计学院, 湖南 长沙 410083 |
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| 基金项目： | 国家自然科学基金(41574006)The National Natural Science Foundation of China |
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| 摘 要： | 观测不确定性常常影响参数估计的有效性。将不确定度作为参数融入平差模型,可以有效地降低不确定性的影响。本文提出有界不确定性误差约束下,随机误差与不确定性误差平方和最小的平差准则,并给出了一个不确定性平差模型迭代算法。通过仿真实例,对不确定性最小二乘法与总体最小二乘法进行了比较。结果显示:在一定程度上,不确定性最小二乘方法的估计结果要略优于总体最小二乘方法,且在不确定性较大时,该方法有较好的适用性。
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| 关 键 词： | 平差模型 平差准则 不确定性 总体最小二乘估计 先验信息 |
| 收稿时间： | 2016-10-12 |
| 修稿时间： | 2017-02-27 |
An Algorithm in Adjustment Model with Uncertainty |
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| WANG Zhizhong,CHEN Danhua,SONG Yingchun.An Algorithm in Adjustment Model with Uncertainty[J].Acta Geodaetica et Cartographica Sinica,2017,46(7):834-840. |
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| Authors: | WANG Zhizhong CHEN Danhua SONG Yingchun |
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| Institution: | 1. School of Geosciences and Info-physic, Central South University, Changsha 410083, China;2. School of Mathamatic and Statistics, Central South University, Changsha 410083, China |
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| Abstract: | The uncertainty of observation often affects the validity of parameter estimation, and the effects of uncertainty can be reduced effectively by incorporating uncertainty into the adjustment model as an observation error parameter.An adjustment criterion is proposed under the bound constrain of uncertainty, in which the sum of squares of random error and uncertainty error should be minimized, and provided an iteration algorithm to solve the adjustment model.With simulation examples, the estimation results of uncertainty least-square method are compared with that of total least-square method.The results show that the estimation results of uncertainty least-square method are better than that of total least-square method to a certain extent and more applicable when uncertainty is greater. |
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| Keywords: | adjustment model adjustment criterion uncertainty total least-squares estimation prior information |
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