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arxiv: 1008.0687 · v1 · pith:BJNFT26Tnew · submitted 2010-08-04 · 🧮 math.AP

Microlocal aspects of bistatic synthetic aperture radar imaging

classification 🧮 math.AP
keywords operatorradaraperturebistaticimagingmicrolocalprojectionproperties
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In this article, we analyze the microlocal properties of the linearized forward scattering operator $F$ and the reconstruction operator $F^{*}F$ appearing in bistatic synthetic aperture radar imaging. In our model, the radar source and detector travel along a line a fixed distance apart. We show that $F$ is a Fourier integral operator, and we give the mapping properties of the projections from the canonical relation of $F$, showing that the right projection is a blow-down and the left projection is a fold. We then show that $F^{*}F$ is a singular FIO belonging to the class $I^{3,0}$.

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