Application of hybrid regularization method for tomographic reconstruction of midlatitude ionospheric electron density |
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Authors: | Yibin Yao Jun Tang Jian Kong Liang Zhang Shun Zhang |
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Institution: | 1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China;3. School of Earth Science, Ohio State University, 1739 North High Street, Columbus, OH, USA |
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Abstract: | Reconstructing ionospheric electron density (IED) is an ill-posed inverse problem, with classical Tikhonov regularization tending to smooth IED structures. By contrast, total variation (TV) regularization effectively resists noise and preserves discontinuities of the IED. In this paper, we regularize the inverse problem by incorporating both Tikhonov and TV regularization. A specific formulation of the proposed method, called hybrid regularization, is introduced and investigated. The method is then tested using simulated data for the actual positions of the GPS satellites and ground receivers, and also applied to the analysis of real observation data under quiescent and disturbed ionospheric conditions. Experiments demonstrate the effectiveness, and illustrate the validity and reliability of the proposed method. |
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Keywords: | Ionospheric tomography Ill-posed inverse problem Tikhonov regularization Total variation regularization Hybrid regularization |
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