A Note on Stability and Instance Optimality in Compressed Sensing

Abstract:

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In this note, it is proved that every -sparse signal vector can be recovered stably from the measurement vector via minimization as soon as the restricted isometry constant of the measurement matrix is smaller than . Note that our results contain the case of noisy data, therefore previous known results in the literature are extent and improved. Also we obtain the results on the stability and instance optimality for some random measurement matrices.

Info:

Periodical:

Edited by:

Han Zhao

Pages:

4194-4197

DOI:

10.4028/www.scientific.net/AMM.130-134.4194

Citation:

S. Zhang and P. X. Ye, "A Note on Stability and Instance Optimality in Compressed Sensing", Applied Mechanics and Materials, Vols. 130-134, pp. 4194-4197, 2012

Online since:

October 2011

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$35.00

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