最短区间估计下的电磁罗经精度评定方法  

Accuracy Assessment Method of Electromagnetic Compass Based on Shortest Interval Estimation

作　　者：程心怡 张忆 陈帅 CHENG Xinyi;ZHANG Yi;CHEN Shuai(Yichang Testing Technology Research Institute,Yicahng 443003)

机构地区：[1]宜昌测试技术研究所,宜昌443003

出　　处：《舰船电子工程》2024年第8期165-169,195,共6页Ship Electronic Engineering

摘　　要：针对现有船用电磁罗经等导航装备精度评定需要多次长航时样本而实际试验耗时长难以组织的实际问题,提出了一种基于t分布、χ2分布最短区间估计的精度评定方法。通过改进χ2分布分位点的选取,求出自由度为n、置信度为1-α的最短方差区间,通过均值、方差的置信区间求出最短RMS的置信区间来评定总体误差。方法可以根据不同数量的航行试验样本实现导航系统参数的RMS精度的评估性能。实例分析结果表明,该评定方法实现了基于不同样本评定船用电磁罗经精度性能,比现有评定方法结果更加准确合理,在满足置信度的情况下,也可以适当放宽对航次的要求。Aiming at the practical problem that the existing marine compass and other navigation equipments require multiple long flight time samples and the actual test time is difficult to organize,an accuracy evaluation method based on t-distribution andχ2 distribution shortest interval estimation is proposed.By improving the selection of the quantiles of theχ2 distribution,the shortest variance interval with n degrees of freedom and 1-αconfidence is obtained,and the shortest RMS confidence interval is obtained through the confidence intervals of mean and variance to assess the overall error.The method can realize the evaluation performance of the RMS accuracy of the navigation system parameters according to different numbers of navigation test samples.The results of the example analysis show that the evaluation method achieves the evaluation of the accuracy performance of marine electromagnetic compasses based on different samples,which is more accurate and reasonable than the results of the existing evaluation methods.It can also appropriately lower the requirements for voyages when the confidence level is met.

关 键 词：精度评定 区间估计 船用电磁罗经 T分布 χ2分布 航次选择 

分 类 号：U666.1[交通运输工程—船舶及航道工程]