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Compressed Remote Sensing of Sparse Objects

Fannjiang, Albert C. and Strohmer, Thomas and Yan, Pengchong (2010) Compressed Remote Sensing of Sparse Objects. SIAM Journal of Imaging Sciences, 3 (3). pp. 595-618. ISSN 1936-4954. http://resolver.caltech.edu/CaltechAUTHORS:20110304-085605446

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1137/090757034 DOIArticle
http://epubs.siam.org/siims/resource/1/sjisbi/v3/i3/p595_s1PublisherArticle
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.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-02-1-0603
NSF DMS 0908535
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Subject Keywords:compressed sensing; incoherence; threshold aperture; Rayleigh resolution; random sensor array
Classification Code:AMS subject classification: 45Q05
Record Number:CaltechAUTHORS:20110304-085605446
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20110304-085605446
Official Citation:Compressed Remote Sensing of Sparse Objects Albert C. Fannjiang, Thomas Strohmer, and Pengchong Yan SIAM J. Imaging Sci. 3, pp. 595-618 (24 pages) Online Publication Date: September 14, 2010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22656
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:04 Mar 2011 18:01
Last Modified:01 Feb 2017 20:10

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