Synthetic-aperture imaging from high-Doppler-resolution measurements
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Authors
Borden, Brett
Cheney, Margaret
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Date of Issue
2005
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Abstract
We develop the theory of radar imaging from data measured by a moving
antenna emitting a single-frequency waveform. We show that, under a
linearized (Born) scattering model, the signal at a given Doppler shift is due to
a superposition of returns from stationary scatterers on a cone whose axis
is the flight velocity vector. This cone reduces to a hyperbola when the
scatterers are known to lie on a planar surface. In this case, reconstruction
of the scatterer locations can be accomplished by a tomographic inversion in
which the scattering density function is reconstructed from its integrals over
hyperbolas. We give an approximate reconstruction formula and analyse the
resolution of the resulting image. We provide a numerical shortcut and show
results of numerical tests in a simple case.
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Article
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The article of record as published may be found at http://dx.doi.org/10.1088/0266-5611/21/1/001
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Physics
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This work was supported by the Office of Naval Research, the Air Force Office of Scientific Research under agreement F49620-03-1-0051, and by the Air Force Research Laboratory appunder agreement FA87500308276. This work was also supported in part by Rensselaer Polytechnic Institute, by the NSF-supported UCLA Institute for Pure and Applied Mathematics and by the NSF Focused Research Groups in the Mathematical Sciences program.
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Inverse Problems, Volume 21, (2005), pp. 1–11
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.