一种综合IDW插值和MSC的电离层层析算法  

An improved ionospheric tomography algorithm integrated with IDW interpolation and MSC

作　　者：张旭焱 李厚朴[2] 王警 郑敦勇 罗小敏 ZHANG Xuyan;LI Houpu;WANG Jing;ZHENG Dunyong;LUO Xiaomin(Key Laboratory of Geological Survey and Evaluation of Ministry of Education,China University of Geosciences,Wuhan 430074,China;Department of Navigation,Naval University of Engineering,Wuhan 430033,China;School of Geography and Information Engineering,China University of Geosciences,Wuhan 430079,China;School of Resource&Environment and Safety Engineering,Hunan University of Science and Technology,Xiangtan,Hunan 411201,China;Guangxi Key Laboratory of Spatial Information and Geomatics,Guilin University of Technology,Guilin,Guangxi 541004,China)

机构地区：[1]中国地质大学地质探测与评估教育部重点实验室,武汉430074 [2]海军工程大学电气工程学院,武汉430033 [3]中国地质大学地理与信息工程学院,武汉430079 [4]湖南科技大学资源环境与安全工程学院,湖南湘潭411201 [5]桂林理工大学广西空间信息与测绘重点实验室,广西桂林541004

出　　处：《导航定位学报》2025年第1期94-105,共12页Journal of Navigation and Positioning

基　　金：国家优秀青年科学基金项目(42122025);地质探测与评估教育部重点实验室主任基金项目(GLAB2023ZR10);中央高校基本科研业务费支持项目;广西空间信息与测绘重点实验室资助课题(21-238-21-03)。

摘　　要：为了进一步求解基于全球卫星导航系统(GNSS)的电离层层析成像的不适定逆问题,在联合迭代重构算法(SIRT)和均值平滑约束(MSC)的基础上,提出一种改进的SIRT-IDW-MSC算法:利用反向距离加权(IDW)插值来改善SIRT算法的初值依赖性和MSC的过度平滑现象,从而提高电离层电子密度(IED)的重建精度和成像效果。数值模拟实验中,SIRT-IDW-MSC算法的重建精度均表现最优,其中重建IED的均方根误差(RMSE)和平均绝对误差(MAE)较SIRT算法可提高72.32%和72.43%,较SIRT-MSC算法可提高57.60%和61.26%。实测数据实验中对于独立测站重建斜总电子含量(STEC)的RMSE和MAE,湖南区域实验中SIRT-IDW-MSC算法比SIRT算法可提高44.33%和47.50%,比SIRT-MSC算法可提高42.62%和47.37%;欧洲区域实验中可分别提高34.34%和26.60%、40.11%和38.70%。将3种算法的重建IED剖面与IRI2016模型参考值和测高仪实测数据作对比,SIRT-IDW-MSC算法均能呈现出更好的符合度。结果证明SIRT-IDW-MSC算法具有可行性和优越性。In order to further solve the ill-posed inverse problem of ionospheric tomography based on global navigation satellite system(GNSS),the paper proposed an improved SIRT-IDW-MSC algorithm on the basis of the simultaneous iterative reconstruction technique(SIRT)and mean smoothing constraint(MSC):the algorithm of inverse distance weighting(IDW)interpolation was used to mitigate the initial value dependence of the SIRT algorithm and the over-smoothing phenomenon of MSC,thereby enhancing the accuracy and imaging effectiveness of ionospheric electron density(IED)reconstruction.In numerical simulation experiments,the SIRT-IDW-MSC algorithm would outperform other methods in terms of accuracy,and the RMSE and MAE of reconstructed IED by SIRT-IDW-MSC algorithm could be improved by 72.32%and 72.43%compared with SIRT algorithm,and by 57.60%and 61.26%compared with SIRT-MSC algorithm.In the real data experiments,for root mean square error(RMSE)and mean absolute error(MAE)of the reconstructed slant total electron content(STEC)for independent receiving stations,the SIRT-IDW-MSC algorithm in Hunan region would improve by 44.33%and 47.50%compared with SIRT algorithm,and by 42.62%and 47.37%compared with SIRT-MSC algorithm;meanwhile,in the European experiment,the increase could be 34.34%and 26.60%,40.11%and 38.70%,respectively.In addition,by comparing the reconstructed IED profiles of the three algorithms with the reference values of IRI2016 model and the measured data from ionosonde stations,SIRT-IDW-MSC algorithm would show better coincidence with both the reference values and the measured data.Results could verify the feasibility and superiority of SIRT-IDW-MSC algorithm.

关 键 词：电离层层析 电离层电子密度 联合迭代重构算法(SIRT) 均值平滑约束 反向距离加权(IDW)插值 

分 类 号：P352[天文地球—空间物理学] P228[天文地球—地球物理学]