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Information Center for Mathematical Science

PAC

Information Center for Mathematical Science

PAC

Motion Estimation and Imaging of Complex Scenes with Synthetic Aperture Radar
Author George Papanicolaou (Stanford University)
Homepage Url http://math.stanford.edu/~papanico/pubs.html#corr
Coauthors Liliana Borcea, Thomas Callaghan
Abstract We study synthetic aperture radar (SAR) imaging and motion estimation of complex scenes consisting of stationary and moving targets. We use the classic SAR setup with a single antenna emitting signals and receiving the echoes from the scene. The known motion estimation methods for such setups work only in simple cases, with one or a few targets in the same motion. We propose to extend the applicability of these methods to complex scenes, by complementing them with a data pre-processing step intended to separate the echoes from the stationary targets and the moving ones. We present two approaches. The rst is an iteration designed to subtract the echoes from the stationary targets one by one. It estimates the location of each stationary target from a preliminary image, and then uses it to de ne a lter that removes its echo from the data. The second approach is based on the robust principle component analysis (PCA) method. The key observation is that with appropriate pre-processing and windowing, the discrete samples of the stationary target echoes form a low rank matrix, whereas the samples of a few moving target echoes form a high rank sparse matrix. The robust PCA method is designed to separate the low rank from the sparse part, and thus can be used for the SAR data separation. We present a brief analysis of the two methods and explain how they can be combined to improve the data separation for extended and complex imaging scenes. We also assess the performance of the methods with extensive numerical simulations.
Abstract Url http://math.stanford.edu/~papanico/pubftp/sar+motion_review.pdf