Imaging moving targets from scattered waves
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Authors
Cheney, Margaret
Borden, Brett
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Date of Issue
2008
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Abstract
We develop a linearized imaging theory that combines the spatial, temporal
and spectral aspects of scattered waves. We consider the case of fixed sensors
and a general distribution of objects, each undergoing linear motion; thus the
theory deals with imaging distributions in phase space. We derive a model for
the data that is appropriate for any waveform, and show how it specializes
to familiar results in the cases when: (a) the targets are moving slowly,
(b) the targets are far from the antennas and (c) narrowband waveforms are
used. From these models, we develop a phase-space imaging formula that
can be interpreted in terms of filtered backprojection or matched filtering. For
this imaging approach, we derive the corresponding point-spread function. We
show that special cases of the theory reduce to: (a) range-Doppler imaging,
(b) inverse synthetic aperture radar (ISAR), (c) synthetic aperture radar (SAR),
(d) Doppler SAR, (e) diffraction tomography and (f) tomography of moving
targets. We also show that the theory gives a new SAR imaging algorithm for
waveforms with arbitrary ridge-like ambiguity functions.
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Article
Description
The article of record as published may be found at http://dx.doi.org/10.1088/0266-5611/24/3/035005
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Physics
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This work was supported by the Office of Naval Research, by the Air Force Office of Scientific Research under agreement number FA9550-06-1-0017, by Rensselaer Polytechnic Institute, the Institute for Mathematics and its Applications, and by the National Research Council.
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Inverse Problems, Volume 24, (2008)
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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.