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2016 Noise Folding in Completely Perturbed Compressed Sensing
Limin Zhou, Xinxin Niu, Jing Yuan
J. Appl. Math. 2016: 1-13 (2016). DOI: 10.1155/2016/5094239


This paper first presents a new generally perturbed compressed sensing (CS) model y=(A+E)(x+u)+e, which incorporated a general nonzero perturbation E into sensing matrix A and a noise u into signal x simultaneously based on the standard CS model y=Ax+e and is called noise folding in completely perturbed CS model. Our construction mainly will whiten the new proposed CS model and explore in restricted isometry property (RIP) and coherence of the new CS model under some conditions. Finally, we use OMP to give a numerical simulation which shows that our model is feasible although the recovered value of signal is not exact compared with original signal because of measurement noise e, signal noise u, and perturbation E involved.


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Limin Zhou. Xinxin Niu. Jing Yuan. "Noise Folding in Completely Perturbed Compressed Sensing." J. Appl. Math. 2016 1 - 13, 2016.


Received: 10 November 2015; Accepted: 18 February 2016; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 07037284
MathSciNet: MR3484236
Digital Object Identifier: 10.1155/2016/5094239

Rights: Copyright © 2016 Hindawi


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