Weights of Multiscale Ionospheric Tomography Determination Method Based on Mixed Penalty Function

  • YU Longfei ,
  • HU Wusheng ,
  • HAN Lixiang ,
  • ZHENG Dunyong
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  • 1. Department of Surveying Engineering, School of Transportation, Southeast University, Nanjing 210096, China;
    2. National-local Joint Engineering Laboratory of Geo-Spatial Information Technology, Hunan University of Science and Technology, Xiangtan 411201, China

Received date: 2016-11-25

  Revised date: 2016-12-20

  Online published: 2017-05-20

Supported by

The National Natural Science Foundation of China (Nos. 41574022;41274028;41674035);The Fundamental Research Funds for the Central Universities (No. KYLX15_0160)

Abstract

For the ionospheric electron density (IED) distribution based on GNSS, multi-scale ionospheric tomography (MST) is a simultaneous application of many overlapping single-scale tomography (SST) with different pixel sizes by using the weight factor. MST can effectively solve the problem of the final IED distortion and the inadaptable problem in SST. In MST, the weight between different SST models is an important factor to influence the final ionospheric tomography accuracy. In order to obtain a high accuracy of MST model, considering the existence of equality and inequality constraints between the weights,the penalty function method is applied to the weights determination. Based on GNSS Observations for the tomographic reconstruction of IED distribution, the experimental results show that the accuracy of MST model obtained by the penalty function method is the highest than other methods. It is proved that the accuracy of the ionospheric tomography model can be effectively improved by using the appropriate weight factor.

Cite this article

YU Longfei , HU Wusheng , HAN Lixiang , ZHENG Dunyong . Weights of Multiscale Ionospheric Tomography Determination Method Based on Mixed Penalty Function[J]. Acta Geodaetica et Cartographica Sinica, 2016 , 45(S2) : 156 -164 . DOI: 10.11947/j.AGCS.2016.F037

References

[1] RISHBETH H, GARRIOTT O K. Introduction to Ionospheric Physics[M]. New York:Academic Press, 1969:1.
[2] 袁运斌. 基于GPS的电离层监测及延迟改正理论与方法的研究[D]. 武汉:中国科学院测量与地球物理研究所, 2002:1 YUAN Yunbin. Study on Theories and Methods of Correcting Ionospheric Delay and Monitoring Ionosphere Based on GPS[D]. Wuhan:Institute of Geodesy and Geophysics, Chinese Academy of Sciences, 2002:1
[3] 汤俊. GNSS三维电离层层析算法及电离层扰动研究[J]. 测绘学报, 2015, 44(1):117. DOI:10.11947/j.AGCS.2015.20140398. TANG Jun. Studies on Three-dimension Ionospheric Tomography Using GNSS Measurements and Ionospheric Disturbances[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(1):117. DOI:10.11947/j.AGCS.2015.20140398.
[4] 李征航, 张小红. 卫星导航定位新技术及高精度数据处理方法[M]. 武汉:武汉大学出版社, 2009:52-72. LI Zhenghang, ZHANG Xiaohong. New Techniques and Precise Data Processing Methods of Satellite Navigation and Positioning[M]. Wuhan:Wuhan University Press, 2009:52-72.
[5] 闻德保. 基于GNSS的电离层层析算法及其应用[M]. 北京:测绘出版社, 2013:84-91. WEN Debao. GNSS-based Ionospheric Tomographic Algorithms and Applications[M]. Beijing:Surveying and Mapping Press, 2013:84-91.
[6] 邹玉华. GPS地面台网和掩星观测结合的时变三维电离层层析[D]. 武汉:武汉大学, 2004:3-12. ZOU Yuhua. A Study of Time-dependent 3-D Ionospheric Tomography with Ground-based GPS Network and Occultation Observations[D]. Wuhan:Wuhan University, 2004:3-12.
[7] AUSTEN J R, FRANKE S J, LIU C H, et al. Application of Computerized Tomography Technique to Ionospheric Research[C]//Proceedings of 1986 International Beacon Satellite Symposium on Radio Beacon Contribution to the Study of Ionization and Dynamics of the Ionosphere and to Corrections to Geodesy and Technical Workshop. Oulu, Finland:University of Oulu, 1986(1):25-35.
[8] ANDREEVA E S, GALINOV A V, KUNITSYN V E, et al. Radiotomographic Reconstruction of Ionization Dip in the Plasma Near the Earth[J]. JETP Letters, 1990, 52(3):145-148.
[9] RAYMUND T D, AUSTEN J R, FRANKE S J, et al. Application of Computerized Tomography to the Investigation of Ionospheric Structures[J]. Radio Science, 1990, 25(5):771-789.
[10] NA H, LEE H. Resolution Analysis of Tomographic Reconstruction of Electron Density Profiles in the Ionosphere[J]. International Journal of Imaging Systems and Technology, 1990, 2(3):209-218.
[11] FREMOUW E J, SECAN J A, HOWE B M. Application of Stochastic Inverse Theory to Ionospheric Tomography[J]. Radio Science, 1992, 27(5):721-732.
[12] RAYMUND T D. Ionospheric Tomography Algorithms[J]. International Journal of Imaging Systems and Technology, 1994, 5(2):75-85.
[13] KUNITAKE M, OHTAKA K, MARUYAMA T, et al. Tomographic Imaging of the Ionosphere over JAPAN by the Modified Truncated SVD Method[J]. Annales Geophysicae, 1995, 13(12):1303-1310.
[14] GARCIA R, CRESPON F. Radio Tomography of the Ionosphere:Analysis of an Underdetermined, Ill-Posed Inverse Problem, and Regional Application[J]. Radio Science, 2008, 43(2):RS2014.
[15] 闻德保, 吕慧珠, 张啸. 电离层层析重构的一种新算法[J]. 地球物理学报, 2014, 57(11):3611-3616. WEN Debao, LV Huizhu, ZHANG Xiao. A New Method of Ionospheric Tomographic Reconstruction[J]. Chinese Journal Geophysics, 2014, 57(11):3611-3616.
[16] ARIKAN O, ARIKAN F, EROL C B. Computerized Ionospheric Tomography with the IRI Model[J]. Advances in Space Research, 2007, 39(5):859-866.
[17] CHARTIER A T, SMITH N D, MITCHELL C N, et al. The Use of Ionosondes in GPS Ionospheric Tomography at Low Latitudes[J]. Journal of Geophysical Research:Space Physics, 2012, 117(A10):A10326.
[18] LI Hui, YUAN Yunbin, LI Zishen, et al. Ionospheric Electron Concentration Imaging Using Combination of LEO Satellite Data with Ground-based GPS Observations over China[J]. IEEE Transactions on Geoscience and Remote Sensing, 2012, 50(5):1728-1735.
[19] NESTEROV I A, KUNITSYN V E. GNSS Radio Tomography of the Ionosphere:The Problem with Essentially Incomplete Data[J]. Advances in Space Research, 2011, 47(10):1789-1803.
[20] WEN Debao, YUAN Yunbin, OU Jikun, et al. Three-dimensional Ionospheric Tomography by an Improved Algebraic Reconstruction Technique[J]. GPS Solutions, 2007, 11(4):251-258.
[21] WEN Debao, YUAN Yunbin, OU Jikun, et al. A Hybrid Reconstruction Algorithm for 3-D Ionospheric Tomography[J]. IEEE Transactions on Geoscience and Remote Sensing, 2008, 46(6):1733-1739.
[22] ZHENG Dunyong, HU Wusheng, NIE Wenfeng. Multiscale Ionospheric Tomography[J]. GPS Solutions, 2015, 19(4):579-588.
[23] 王兴华. 惩罚函数法的改进算法及应用研究[D]. 秦皇岛:燕山大学, 2009:9-10. WANG Xinghua. The Improved Algorithm and Applied Research of Penalty Function Method[D]. Qinghuangdao:Yanshan University, 2009:9-10
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