水汽层析代数重构算法

doi:10.11947/j.AGCS.2015.20130308

测绘学报 ›› 2015, Vol. 44 ›› Issue (1): 32-38.doi: 10.11947/j.AGCS.2015.20130308

水汽层析代数重构算法

何林¹, 柳林涛², 苏晓庆^2,3, 许超钤⁴, 段鹏硕^2,3

1. 贵州电力设计研究院, 贵州贵阳 550000;
2. 中国科学院测量与地球物理研究所, 湖北武汉 430077;
3. 中国科学院大学, 北京 100049;
4. 武汉大学测绘学院, 湖北武汉 430079

收稿日期:2013-12-30 修回日期:2014-03-31 出版日期:2015-01-20 发布日期:2015-01-22
作者简介:何林(1989-), 男, 硕士, 研究方向为GPS数据处理和GNSS气象学. E-mail: hunter5288@163.com
基金资助:
国家自然科学基金(41074050;41021003)

Algebraic Reconstruction Algorithm of Vapor Tomography

HE Lin¹, LIU Lintao², SU Xiaoqing^2,3, XU Chaoqian⁴, DUAN Pengshuo^2,3

1. Guizhou Electric Power Design Institute, Guiyang 550000, China;
2. Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan 430077, China;
3. University of Chinese Academy of Sciences, Beijing 100049, China;
4. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China

Received:2013-12-30 Revised:2014-03-31 Online:2015-01-20 Published:2015-01-22
Supported by:
The National Natural Science Foundation of China (Nos. 41074050 41021003)

摘要/Abstract

摘要： 讨论了代数重构算法在水汽层析应用中的各种问题,包括约束条件的构造、层析初值的选择、松弛因子的计算、终止条件的确定等,给出了计算最优松弛因子的黄金分割搜索法和确定终止条件的NCP规则,对比分析了Kaczmarz、Randkaczmarz、Symkaczmarz、SART、Landweber、Cimmino、CAV、DROP等8种常见的代数重构算法,并以香港SatRef的观测数据进行了试验.试验结果表明,以上8种代数重构技术都能够满足水汽层析的要求;迭代终止条件比松弛因子更为重要;采用文中计算最优松弛因子的黄金分割搜索法和NCP迭代终止条件,CAV算法结果最优,其次为Cimmino算法.

关键词: 代数重构, 水汽层析, GPS气象学

Abstract: While applying algebraic reconstruction algorithm in vapor tomography, problems have to be solved with respect to constructing the constraint condition, selecting the initial value, calculating optimal relaxation factor and deciding the iteration termination condition. Golden section search method and NCP termination rule are given to solve the latter two problems, respectively. Eight algebraic reconstruction algorithms, including Kaczmarz, Randkaczmarz, Symkaczmarz, SART, Landweber, Cimmino, CAV and DROP algorithm, are comparatively analyzed and tested by the data from SatRef station in Hong Kong. The results show that all the eight algorithms can satisfy the requirements of vapor tomography and the iteration termination condition is more important than the relaxation condition. While the golden section method and NCP method are used, the CAV algorithm performs best, and then the Cimmino algorithm.

Key words: algebraic reconstruction, vapor tomography, GPS meteorology

中图分类号:

P228

何林, 柳林涛, 苏晓庆, 许超钤, 段鹏硕. 水汽层析代数重构算法[J]. 测绘学报, 2015, 44(1): 32-38.

HE Lin, LIU Lintao, SU Xiaoqing, XU Chaoqian, DUAN Pengshuo. Algebraic Reconstruction Algorithm of Vapor Tomography[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1): 32-38.

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水汽层析代数重构算法

Algebraic Reconstruction Algorithm of Vapor Tomography

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