Title
The ℓ1 analysis approach by sparse dual frames for sparse signal recovery represented by frames
Abstract
A sparse-dual-frame based ℓ1-analysis approach for compressed sensing (CS) is proposed. The sparse dual frame is a notion of optimal dual frames of a non-exact frame. It is motivated in the study of compressed sensing problems where signals are sparse with respect to redundant dictionaries (frames). An alternating iterative algorithm is proposed. An error bound ensuring the correct signal recovery is obtained. Empirical studies over generally difficult CS problems demonstrate that the new sparse-dual-based approach provides satisfactory solutions, whereas other existing means may not.
Year
DOI
Venue
2012
10.1109/ISIT.2012.6283718
ISIT
Keywords
DocType
ISSN
signal representation,sparse dual frame,l1 analysis approach,sparse signal recovery,compressed sensing,iterative algorithm,redundant dictionary,CS,signal reconstruction,error bound,iterative methods
Conference
2157-8095 E-ISBN : 978-1-4673-2578-3
ISBN
Citations 
PageRank 
978-1-4673-2578-3
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Tiebin Mi122.41
Shidong Li22411.26
Yulong Liu300.34