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Published 2010 | Published
Journal Article Open

Compressed Remote Sensing of Sparse Objects

Abstract

The linear inverse source and scattering problems are studied from the perspective of compressed sensing. By introducing the sensor as well as target ensembles, the maximum number of recoverable targets is proved to be at least proportional to the number of measurement data modulo a logsquare factor with overwhelming probability. Important contributions include the discoveries of the threshold aperture, consistent with the classical Rayleigh criterion, and the incoherence effect induced by random antenna locations. The predictions of theorems are confirmed by numerical simulations.

Additional Information

© 2010 Society for Industrial and Applied Mathematics. Received April 27, 2009. Accepted July 01, 2010, published online September 14, 2010. This research was supported in part by DARPA grant N00014-02-1-0603 and NSF grant DMS 0908535.

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