A Note on Block-Sparse Signal Recovery with Coherent Tight Frames
Joint Authors
Wang, Yao
Xu, Zongben
Wang, Jianjun
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This note discusses the recovery of signals from undersampled data in the situation that such signals are nearly block sparse in terms of an overcomplete and coherent tight frame D.
By introducing the notion of block D-restricted isometry property (D-RIP), we establish several sufficient conditions for the proposed mixed l2/l1-analysis method to guarantee stable recovery of nearly block-sparse signals in terms of D.
One of the main results of this note shows that if the measurement matrix satisfies the block D-RIP with constants δk<0.307, then the signals which are nearly block k-sparse in terms of D can be stably recovered via mixed l2/l1-analysis in the presence of noise.
American Psychological Association (APA)
Wang, Yao& Wang, Jianjun& Xu, Zongben. 2013. A Note on Block-Sparse Signal Recovery with Coherent Tight Frames. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-506885
Modern Language Association (MLA)
Wang, Yao…[et al.]. A Note on Block-Sparse Signal Recovery with Coherent Tight Frames. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-506885
American Medical Association (AMA)
Wang, Yao& Wang, Jianjun& Xu, Zongben. A Note on Block-Sparse Signal Recovery with Coherent Tight Frames. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-506885
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506885