结合自重变形特点的天线测量数据粗差剔除与定权方法

doi:10.3969/j.issn.0372-2112.2020.09.011

电子学报 ›› 2020, Vol. 48 ›› Issue (9): 1741-1747.DOI: 10.3969/j.issn.0372-2112.2020.09.011

结合自重变形特点的天线测量数据粗差剔除与定权方法

汪文琪¹, 李宗春¹, 程志峰², 冯其强¹, 张冠宇¹

1. 战略支援部队信息工程大学地理空间信息学院, 河南郑州 450001;
2. 中国电子科技集团第五十四研究所, 河北石家庄 050081

收稿日期:2019-07-16 修回日期:2019-09-29 出版日期:2020-09-25
- 作者简介:
- 汪文琪 男,1996年生于安徽宿州.战略支援部队信息工程大学地理空间信息学院硕士研究生,主要研究领域为天线反射面测量及数据处理、精密工程测量等.E-mail:wenqi_xd@163.com
  李宗春 男,1973年生于山东日照.战略支援部队信息工程大学地理空间信息学院教授.主要研究领域为精密工程测量、天线反射面测量及数据处理等.E-mail:13838092876@139.com

Method of Gross Error Elimination and Weight Determination of Antenna Measurement Data with Gravity Deformation Characteristics

WANG Wen-qi¹, LI Zong-chun¹, CHENG Zhi-feng², FENG Qi-qiang¹, ZHANG Guan-yu¹

1. Institute of Surveying and Mapping, Strategic Support Force Information Engineering University, Zhengzhou, Henan 450001, China;
2. The 54 th Research Institute of CETC, Shijiazhuang, Hebei 050081, China

Received:2019-07-16 Revised:2019-09-29 Online:2020-09-25 Published:2020-09-25

摘要/Abstract

摘要： 针对传统天线测量数据处理中粗差剔除和定权不合理问题，提出了一种结合粗差剔除和一次范数最小法定权的天线反射面多仰角测量数据处理方法.首先，根据反射面自重变形的特点，通过构造统计量对粗差点予以剔除，提高了测量数据的可靠性；其次，顾及测量点的变形特点，引入了抗差估计中的一次范数最小法对不同变形点进行定权，解决了等权最小二乘拟合的"虚假面型"问题.经过某口径13m天线反射面测量数据的实例计算，对比其他方法，新方法拟合结果能够合理、准确地反映出反射面的实际变形偏差，更适用于天线反射面自重变形数据的处理.

关键词: 天线反射面测量, 自重变形, 等权最小二乘拟合, 粗差剔除, IGGIII法, 一次范数最小法

Abstract: Aiming at the unreasonable problem of gross error elimination and weight determination in traditional antenna measurement data processing, a method for multi-elevation antenna measurement data processing is proposed, which combines gross error elimination and weighting way of L1-norm least method. Firstly, according to the characteristics of reflector gravity deformation, the gross error was eliminated by constructing statistics, which improved the reliability of measurement data. Secondly, referring to the deformation characteristics of measurement points, the L1-norm least method in robust estimation was introduced to determine the weights of different deformation points, so as to solve the "false fitting surface" problem of equal-weight least square fitting. Through the calculation of measurement data for a Φ 13m antenna reflector, compared with other methods, the fitting results of this method can reasonably and accurately reflect the actual reflector deformation deviation, and this method is more suitable for the data processing of antenna reflector gravity deformation.

Key words: antenna reflector measurement, gravity deformation, equal-weight least square fitting, gross error elimination, IGGIII method, L1-norm least method

中图分类号:

P111
P258

汪文琪, 李宗春, 程志峰, 等. 结合自重变形特点的天线测量数据粗差剔除与定权方法[J]. 电子学报, 2020, 48(9): 1741-1747.

WANG Wen-qi, LI Zong-chun, CHENG Zhi-feng, et al. Method of Gross Error Elimination and Weight Determination of Antenna Measurement Data with Gravity Deformation Characteristics[J]. Acta Electronica Sinica, 2020, 48(9): 1741-1747.

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结合自重变形特点的天线测量数据粗差剔除与定权方法

Method of Gross Error Elimination and Weight Determination of Antenna Measurement Data with Gravity Deformation Characteristics

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