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稳健估计下的光学经纬仪多站交会算法

Multi-station intersection algorithm of optical theodolites based on robust estimation

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摘要

为了提高靶场空中及地面炸点坐标测试的可靠性,有效降低或消除粗差的影响,提出了稳健估计下的多站交会算法。首先,介绍了最小二乘多站交会原理。接着,介绍稳健估计法的实现原理及内外可靠性指标计算方法。最后通过算例验证了文章算法的正确性并计算出内外可靠性指标。结果表明:平差模型能发现的最小粗差在0.054°~0.066°之间;观测值中粗差对参数向量的影响是中误差的2.6~4倍。当粗差存在时,稳健估计法精度优于最小二乘法,可以有效降低粗差对平差结果的影响,对提高炸点坐标测量精度起到了积极的作用。

Abstract

In order to improve the reliability of the test of air and ground explosion point coordinate in shooting range, and reduce or eliminate the influence of gross error effectively, the multi-station intersection algorithm of robust estimation was proposed. Firstly, the principle of traditional least square multi-station intersection was introduced. Then, the principle of robust estimation method and the calculation method of internal and external reliability index were introduced. Finally, the correctness of the algorithm was verified and the internal and external reliability index was calculated by a simulation example. The results show that the minimum gross error which can be detected is between 0.054~0.066 degrees through the adjustment model. The gross error of observation value has 2.6~4 times more effect on the parameter vector than root mean square error. When the gross error exists, the accuracy of the robust estimation method is better than that of the traditional method, and the robust estimation method can reduce the influence of gross error on the adjustment results effectively and play a positive role in improving the accuracy of coordinate measurement of the burst point.

Newport宣传-MKS新实验室计划
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中图分类号:TB851+.5

DOI:10.3788/yjyxs20183304.0299

所属栏目:图像处理

基金项目:军队试验技术研究项目

收稿日期:2017-12-07

修改稿日期:2018-02-10

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作者单位    点击查看

于国栋:中国白城兵器试验中心,吉林 白城 137001
王春阳:中国白城兵器试验中心,吉林 白城 137001

联系人作者:于国栋(daya9527@126.com)

备注:于国栋(1982-),男,辽宁大连人,硕士,工程师,2013年于武汉大学获得硕士学位,主要从事弹道终点坐标测试方面的研究。

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引用该论文

YU Guo-dong,WANG Chun-yang. Multi-station intersection algorithm of optical theodolites based on robust estimation[J]. Chinese Journal of Liquid Crystals and Displays, 2018, 33(4): 299-305

于国栋,王春阳. 稳健估计下的光学经纬仪多站交会算法[J]. 液晶与显示, 2018, 33(4): 299-305

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