A Hybrid Reconstruction Algorithm for 3-D Ionospheric Tomography

In this paper, a hybrid reconstruction algorithm (HRA) is presented to solve the ill-posed inverse problem associated with 3-D ionospheric stochastic tomography. In this new method, the ionospheric electron density (IED) can be inverted by using two steps. First, a truncated singular value decomposi...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2008-06, Vol.46 (6), p.1733-1739
Main Authors: Wen, Debao, Yuan, Yunbin, Ou, Jikun, Zhang, Kefei, Liu, Kai
Format: Article
Language:English
Subjects:
Algorithms
Applied geophysics
Delay effects
Earth sciences
Earth, ocean, space
Electrons
Exact sciences and technology
Image reconstruction
Internal geophysics
Inverse problem
Ionosphere
Receivers
Reconstruction algorithms
Satellite broadcasting
Satellite navigation systems
Studies
Subspace constraints
Tomography
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Summary:In this paper, a hybrid reconstruction algorithm (HRA) is presented to solve the ill-posed inverse problem associated with 3-D ionospheric stochastic tomography. In this new method, the ionospheric electron density (IED) can be inverted by using two steps. First, a truncated singular value decomposition (TSVD) method, whose value is independent on any initial estimation, is used to resolve the ill-posed problem of the tomography system. Second, taking into account the "approximation" of its solution, an iterative improvement process of the solution is then implemented by utilizing the conventional algebraic reconstruction algorithm (ART). The HRA, therefore, offers a more reasonable approach to choose an initial approximate for the ART and to improve the quality of the final reconstructed image. A simulated experiment demonstrates that the HRA method is superior to the TSVD or the ART alone for the tomographic inversion of IED. Finally, the HRA is used to perform GPS-based tomographic reconstruction of the IED at mid- and low-latitude regions.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2008.916466