A AMART Algorithm Applied to Ionospheric Electron Reconstruction

doi:10.11947/j.AGCS.2018.20160540

Abstract

Abstract: Aiming at the problem that the traditional MART algorithm has low iteration accuracy,a new tomographic inversion algorithm is proposed. On the one hand,The new algorithm takes into account the integration of the intercept of ray traversing pixels and electron density and distributes the iterative difference in a more reasonably. On the other hand,an adaptive relaxation factor related to the electron density is proposed to overcome the influence of propagation noise on electron density inversion. The GIM data and GPS dual frequency observation data are used to verify the feasibility and superiority of the new method iteration accuracy from two aspects of single ray iteration and multi ray iteration. The experimental results show that compared with the traditional MART algorithm,the electron density profile obtained by the new method is closer with those from ionosonde measurements.

Key words: ionospheric tomographic, MART algorithm, electron density, GIIM, iterative reconstruction algorithm

CLC Number:

P228

ZHAO Haishan, YANG Li, ZHOU Yanglin, DONG Ming. A AMART Algorithm Applied to Ionospheric Electron Reconstruction[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(1): 57-63.

References

[1] YAO Y B, CHEN P, ZHANG S, et al. Temporal and Spatial variations in Ionospheric Electron Density Profiles over South Africa During Strong Magnetic Storms[J]. Natural Hazards and Earth System Sciences, 2013, 13(2): 375-384.
[2] JIN Shuanggen, LUO O F, PARK P. GPS Observations of the Ionospheric F2-Layer Behavior During the 20th NOVEMBER 2003 Geomagnetic Storm over South Korea[J]. Journal of Geodesy, 2008, 82(12): 883-892.
[3] POKHOTELOV D, JAYACHANDRAN P T, MITCHELL C N, et al. Gps Tomography in the Polar Cap: Comparison with Ionosondes and in Situ Spacecraft Data[J]. GPS Solutions, 2011, 15(1): 79-87.
[4] 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, 2012, 117(A10): A10326. DOI: 10.1029/2012JA018054.
[5] 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.
[6] WEN Debao, WANG Yong, NORMAN R. A New Two-Step Algorithm for Ionospheric Tomography Solution[J]. GPS Solutions, 2012, 16(1): 89-94.
[7] AUSTEN J R, FRANKE S J, LIU C H. Ionospheric Imaging Using Computerized Tomography[J]. Radio Science, 1988, 23(3): 299-307.
[8] BUST G S, MITCHELL C N. History, Current State, and Future Directions of Ionospheric Imaging[J]. Reviews of Geophysics, 2008, 46(1): RG1003. DOI: 10.1029/2006RG000212.
[9] PRYSE S E, KERSLEY L, RICE D L. et al. Tomographic Imaging of the Ionospheric Mid-Latitude Trough[J]. Annales Geophysicae, 1993, 11(2-3): 144-149.
[10] MITCHELL C N, KERSLEY L, HEATON J A T. et al. Determination of the Vertical Electron-Density Profile in Ionospheric Tomography: Experimental Results[J]. Annales Geophysicae, 1997, 15(6): 747-752.
[11] 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.
[12] DAS S K, SHUKLA A K. Two-Dimensional Ionospheric Tomography over the Low-Latitude Indian Region: An Intercomparison of Art and Mart Algorithms[J]. Radio Science, 2011, 46(2): RS2005. DOI: 10.1029/2010RS004350.
[13] FOUGERE P F. Ionospheric Radio Tomography Using Maximum Entropy 1. Theory and Simulation Studies[J]. Radio Science, 1995, 30(2): 429-444.
[14] QU Gangrong, WANG Caifang, JIANG Ming. Necessary and Sufficient Convergence Conditions for Algebraic Image Reconstruction Algorithms[J]. Advances in Mathematics, 2007, 36(3): 379-381.
[15] AHN S, FESSLER J A, BLATT D, et al. Convergent Incremental Optimization Transfer Algorithms: Application to Tomography[J]. IEEE Transactions on Medical Imaging, 2006, 25(3): 283-296.
[16] BYRNE C L, GRAHAM-EAGLE J. Convergence Properties of the Algebraic Reconstruction Technique (ART)[C]//Proceedings of the Conference Record of the 1992 IEEE Nuclear Science Symposium and Medical Imaging Conference. Orlando, FL: IEEE, 1992: 1240-1242.
[17] KAK A C, SLANEY M, WANG Ge. Principles of Computerized Tomographic Imaging[J]. Medical Physics, 2002, 29(1): 107.
[18] 陈鹏. GNSS电离层层析及震前电离层异常研究[J]. 测绘学报, 2013, 42(3): 474. CHEN Peng. Research on GNSS-Based Ionospheric Tomography and Pre-Earthquake Ionospheric Anomaly[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(3): 474.
[19] 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. 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.
[20] 姚宜斌, 汤俊, 张良, 等. 电离层三维层析成像的自适应联合迭代重构算法[J]. 地球物理学报, 2014, 57(2): 345-353. YAO Yibin, TANG Jun, ZHANG Liang, et al. An Adaptive Simultaneous Iteration Reconstruction Technique for Three-Dimensional Ionospheric Tomography[J]. Chinese Journal of Geophysics, 2014, 57(2): 345-353.
[21] 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, LÜ Huizhu, ZHANG Xiao. A New Method of Ionospheric Tomographic Reconstruction[J]. Chinese Journal of Geophysics, 2014, 57(11): 3611-3616.
[22] 吴寒, 姚宜斌, 陈鹏, 等. GNSS电离层层析成像算法研究[J]. 武汉大学学报(信息科学版), 2013, 38(12): 1405-1408. WU Han, YAO Yibin, CHEN Peng, et al. Investigation of GNSS-Based Ionospheric Tomographic Algorithms[J]. Geomatics and Information Science of Wuhan University, 2013, 38(12): 1405-1408.
[23] 汤俊, 姚宜斌, 张良. 一种适用于电离层层析成像的TV-MART算法[J]. 武汉大学学报(信息科学版), 2015, 40(7): 870-876. TANG Jun, YAO Yibin, ZHANG Liang. A TV-Mart Algorithm Applied to Computerized Ionospheric Tomography[J]. Geomatics and Information Science of Wuhan University, 2015, 40(7): 870-876.
[24] 闻德保, 张啸, 张光胜, 等. 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. WEN Debao, ZHANG Xiao, ZHANG Guangsheng, et al. Tomographic Reconstruction of Ionospheric Electron Density Based on the Fitting Method by Selection of the Parameter Weights[J]. Chinese Jounal of Geophysics, 2014, 57(8): 2395-2403.
[25] 霍星亮, 袁运斌, 欧吉坤, 等. 顾及电离层变化的层析反演新算法[J]. 地球物理学报, 2016, 59(7): 2393-2401. HUO Xingliang, YUAN Yunbin, OU Jikun, et al. A New Ionospheric Tomographic Algorithm Taking Into Account The Variation of the Ionosphere[J]. Chinese Journal of Geophysics, 2016, 59(7): 2393-2401.