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基于选权拟合法的电离层电子密度层析重构
引用本文:闻德保,张啸,张光胜,欧吉坤,袁运斌.基于选权拟合法的电离层电子密度层析重构[J].地球物理学报,2014,57(8):2395-2403.
作者姓名:闻德保  张啸  张光胜  欧吉坤  袁运斌
作者单位:1. 长沙理工大学交通运输工程学院, 长沙 410004;2. 河南理工大学测绘与国土信息工程学院, 焦作 454000;3. 中国科学院大地测量与地球动力学国家重点实验室, 武汉 430077
基金项目:湖南省杰出青年基金项目(14JJ1021);国家自然科学基金项目(41174001,41174015);教育部科学技术类项目(213028A);湖南省教育厅重点项目(12A002)资助
摘    要:附加约束的电离层层析算法是解决电离层电子密度反演中不适定问题的主要方法,为避免此类方法中约束权阵的选取不当对电子密度分布重构产生的不良影响,本文将选权拟合法应用到电离层层析成像技术中.该方法特别设计了依据电子密度空间分布特性构造参数权矩阵的方案.新方法有明确的物理意义,挖掘了隐含的信息量,为解决电离层电子密度反演中由于观测数据的不足等因素引起的不适定问题提供了一种新途径,可以得到符合客观实际的结果.数值模拟实验和实测数据的反演结果证实了该算法有效性、可靠性和优越性.

关 键 词:不适定问题  约束权阵  电离层层析成像  电子密度  选权拟合法  
收稿时间:2013-12-02

Tomographic reconstruction of ionospheric electron density based on the fitting method by selection of the parameter weights
WEN De-Bao,ZHANG Xiao,ZHANG Guang-Sheng,OU Ji-Kun,YUAN Yun-Bin.Tomographic reconstruction of ionospheric electron density based on the fitting method by selection of the parameter weights[J].Chinese Journal of Geophysics,2014,57(8):2395-2403.
Authors:WEN De-Bao  ZHANG Xiao  ZHANG Guang-Sheng  OU Ji-Kun  YUAN Yun-Bin
Institution:1. School of Traffic and Transportation Engineering, Changsha University of Science & Technology, Changsha 410004, China;2. School of Surveying and Land Information Engineering, Henan Polytechnic University, Jiaozuo 454000, China;3. State Key Laboratory of Geodesy and Earth's Dynamics, Chinese Academy of Sciences, Wuhan 430077, China
Abstract:The main methods to resolve the ill-posed problem are the constraint algorithms in the process of the ionospheric electron density inversion. To avoid the defective influence of the unreasonable constraint weight matrix on the ionospheric electron density reconstruction, the Fitting Method by Selection of the Parameter Weights (FMSPW) is innovatively applied to resolve the ill-posed problem in the ionospheric tomographic system. In this method, a new scheme of constructing parameter weights matrix is specially devised by analyzing the correlation of the ionospheric electron density among those neighboring cells. Using this scheme equals to add the observation information needed by the inversion of ionospheric electron density, and the ill-posed problem of the ionospheric tomography system is efficiently resolved. The reliability and feasibility of the FMSPW and its superiority to the conventional CIT (Computerized Ionospheric Tomography) algorithms are demonstrated by numerical simulation tests. Finally, the FMSPW is used to perform the tomographic reconstruction of ionospheric electron density distribution in a mid-latitude region.
Keywords:Ill-posed problem  Constrain weight matrix  Ionospheric tomography  Electron density  Fitting method by selection of the parameter weights
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