Abstract
In this article, we analyze the microlocal properties of the linearized forward scattering operator \({\mathcal{F}},\) which arises in synthetic aperture radar imaging. A frequently applied imaging technique is to study the normal operator \({\mathcal{F}^{\ast} \mathcal{F}}\) (\({\mathcal{F}^{\ast}}\) is the L 2 adjoint of \({\mathcal{F}}\)). However, such an imaging technique introduces artifacts in the image. We study the structure of these artifacts.
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Acknowledgments
The author thanks Prof. Abul Hasan Siddiqi, Prof. Pammy Manchanda and the organizers for the invitation to give a talk in the 11th Annual Conference of the Indian Society of Industrial and Applied Mathematics titled, “Emerging Mathematical Methods, Models and Algorithms for Science and Technology” at Gautam Buddha University (GBU) on December 15 and 16, 2012, commemorating the 125th birth year of Srinivasa Ramanujan, and for the warm hospitality during his stay on GBU campus. He also thanks Prof. Siddiqi for inviting to contribute an article in the proceedings. The material here is a slightly expanded version of the talk given at this conference.
The author was partially supported by NSF Grant DMS 1109417.
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Krishnan, V.P. (2015). Microlocal Analysis of Some Synthetic Aperture Radar Imaging Problems. In: Siddiqi, A., Manchanda, P., Bhardwaj, R. (eds) Mathematical Models, Methods and Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-287-973-8_4
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DOI: https://doi.org/10.1007/978-981-287-973-8_4
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