Noise Folding in Completely Perturbed Compressed Sensing
Joint Authors
Zhou, Limin
Yuan, Jing
Niu, Xinxin
Source
Journal of Applied Mathematics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-30
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zhou, Limin& Niu, Xinxin& Yuan, Jing. 2016. Noise Folding in Completely Perturbed Compressed Sensing. Journal of Applied Mathematics،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1107210
Modern Language Association (MLA)
Zhou, Limin…[et al.]. Noise Folding in Completely Perturbed Compressed Sensing. Journal of Applied Mathematics No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1107210
American Medical Association (AMA)
Zhou, Limin& Niu, Xinxin& Yuan, Jing. Noise Folding in Completely Perturbed Compressed Sensing. Journal of Applied Mathematics. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1107210
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1107210