A Novel Microwave Imaging Approach Based on Regularization in [Formula Omitted] Banach Spaces

Inverse problems arising in microwave imaging suffer from high ill-posedness. As it is well known, it is necessary to employ regularized inversion methods, in order to mitigate such behavior. Usually, such approaches are formulated in standard Hilbert spaces. Recently, a more generic regularization...

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Bibliographic Details
Published inIEEE transactions on antennas and propagation Vol. 60; no. 7; p. 3373
Main Authors Estatico, C, Pastorino, M, Randazzo, A
Format Journal Article
LanguageEnglish
Published New York The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.07.2012
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Summary:Inverse problems arising in microwave imaging suffer from high ill-posedness. As it is well known, it is necessary to employ regularized inversion methods, in order to mitigate such behavior. Usually, such approaches are formulated in standard Hilbert spaces. Recently, a more generic regularization theory, working in Banach spaces, has been investigated, in order to overcome some limitations of the Hilbert-space regularization. In this paper, a novel imaging algorithm, performing a [Formula Omitted] Banach-space regularization, is proposed for 2-D electromagnetic inverse scattering problems. The reconstruction capabilities of the methods are evaluated by using numerical and experimental data.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2012.2196925