Journal
ADVANCES IN SPACE RESEARCH
Volume 52, Issue 12, Pages 2215-2225Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.asr.2013.09.030
Keywords
Ionospheric tomography; Ill-posed inverse problem; Tikhonov regularization; Total variation regularization; Hybrid regularization
Categories
Funding
- National Natural Science Foundation of China [41174012, 41274022]
- National High Technology Research and Development Program of China [2013AA122502]
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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. (C) 2013 COSPAR. Published by Elsevier Ltd. All rights reserved.
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