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Microlocal analysis of SAR imaging of a dynamic reflectivity function
Date
2013
Abstract
In this article we consider four particular cases of Synthetic Aperture Radar imaging with moving objects. In each case, we analyze the forward operator F and the normal operator F∗F, which appear in the mathematical expression for the recovered reflectivity function (i.e. the image). In general, by applying the backprojection operator F∗ to the scattered waveform (i.e. the data), artifacts appear in the reconstructed image. In the first case, the full data case, we show that F∗F is a pseudodifferential operator which implies that there is no artifact. In the other three cases, which have less data, we show that F∗F belongs to a class of distributions associated to two cleanly intersecting Lagrangians Ip,l(Δ; Λ), where Λ is associated to a strong artifact. At the and of the article, we show how to microlocally reduce the strength of the artifact.
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Description
peer-reviewed
Publisher
Society for Industrial and Applied Mathematics (SIAM)
Citation
SIAM Journal on Mathematical Analysis;July
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Felea-Gaburro-Nolan.pdf
Adobe PDF, 181.22 KB
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Funding Information
Science Foundation Ireland (SFI)