Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm
dc.contributor.author | Desmal, Abdulla | |
dc.contributor.author | Bagci, Hakan | |
dc.date.accessioned | 2017-04-10T07:49:51Z | |
dc.date.available | 2017-04-10T07:49:51Z | |
dc.date.issued | 2017-04-03 | |
dc.identifier.citation | Desmal A, Bagci H (2017) Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm. IEEE Transactions on Geoscience and Remote Sensing: 1–13. Available: http://dx.doi.org/10.1109/TGRS.2017.2681184. | |
dc.identifier.issn | 0196-2892 | |
dc.identifier.issn | 1558-0644 | |
dc.identifier.doi | 10.1109/TGRS.2017.2681184 | |
dc.identifier.uri | http://hdl.handle.net/10754/623106 | |
dc.description.abstract | An efficient electromagnetic inversion scheme for imaging sparse 3-D domains is proposed. The scheme achieves its efficiency and accuracy by integrating two concepts. First, the nonlinear optimization problem is constrained using L₀ or L₁-norm of the solution as the penalty term to alleviate the ill-posedness of the inverse problem. The resulting Tikhonov minimization problem is solved using nonlinear Landweber iterations (NLW). Second, the efficiency of the NLW is significantly increased using a steepest descent algorithm. The algorithm uses a projection operator to enforce the sparsity constraint by thresholding the solution at every iteration. Thresholding level and iteration step are selected carefully to increase the efficiency without sacrificing the convergence of the algorithm. Numerical results demonstrate the efficiency and accuracy of the proposed imaging scheme in reconstructing sparse 3-D dielectric profiles. | |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE) | |
dc.relation.url | http://ieeexplore.ieee.org/document/7891587/ | |
dc.rights | (c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Released under the IEEE Open Access Publishing Agreement. | |
dc.rights.uri | http://www.ieee.org/publications_standards/publications/rights/oa_author_choices.html | |
dc.subject | Accelerated steepest descent | |
dc.subject | electromagnetic imaging | |
dc.subject | electromagnetic inverse scattering | |
dc.subject | Landweber iterations | |
dc.subject | nonlinear ill-posed problem | |
dc.subject | numerical methods | |
dc.subject | sparsity | |
dc.title | Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm | |
dc.type | Article | |
dc.contributor.department | Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division | |
dc.contributor.department | Electrical Engineering Program | |
dc.identifier.journal | IEEE Transactions on Geoscience and Remote Sensing | |
dc.eprint.version | Publisher's Version/PDF | |
kaust.person | Desmal, Abdulla | |
kaust.person | Bagci, Hakan | |
refterms.dateFOA | 2018-06-13T22:05:25Z | |
dc.date.published-online | 2017-04-03 | |
dc.date.published-print | 2017-07 |
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