抗差估计在天文定位中的应用  

Application of Robust Estimation on Astronomical Positioning

作　　者：严薇 马卓希 于亮 张英利 YAN Wei;MA Zhuoxi;YU Liang;ZHANG Yingli(Xi′an Division of Surveying and Mapping,Xi′an 710054,China)

机构地区：[1]西安测绘总站,陕西西安710054

出　　处：《测绘与空间地理信息》2020年第9期74-77,81,共5页Geomatics & Spatial Information Technology

基　　金：地理信息工程国家重点实验室开放基金(SKLGIE2017-M-1-2)资助。

摘　　要：针对天文定位数据处理在面临粗差时精度和可靠性较低的问题,本文引入抗差估计的思想,探讨了抗差估计理论在天文定位中的应用,分析了抗差估计模型对于不同量级数据误差的抵抗能力,并对常见的Huber方案、IGG方案和IGGⅢ方案等3种等价权方案的抗差估计效果进行了对比分析。结合实测数据,对抗差天文定位模型的解算效果进行了验证。结果表明,其精度较传统方法提高了40%左右。该方法的使用,对提高天文测量数据解算成果质量具有一定的应用价值。Robust estimation principle is proposed to resolve the problem that the data processing result of astronomical positioning has relatively low precision and reliability while encountering gross errors. This paper discusses the application of robust estimation on astronomical positioning,and a numerical simulation is performed to analyze the resistance to different levels of gross errors. Furthermore,a comparative analysis for the robust estimation effects of different equivalent weight functions namely Huber,IGG,and IGGⅢis performed. In combination with the measured data,several experiments are conducted to verify the validation of robust estimation model. The results show that the estimation accuracy is improved by 40% as compared to traditional method. The use of the method has certain application significance to improve the quality of the calculating results of astronomical positioning.

关 键 词：粗差 抗差估计 天文定位 等价权 

分 类 号：P228[天文地球—大地测量学与测量工程]