Title
Performance analysis of ℓ1-synthesis with coherent frames
Abstract
Signals with sparse representations in frames comprise a much more realistic model of nature, it is therefore highly desirable to extend the compressed sensing methodology to redundant dictionaries (or frames) as opposed to orthonormal bases only. In the generalized setting, the standard approach to recover the signal is known as ℓ1-synthesis (or Basis Pursuit). In this paper, we present the performance analysis of this approach in which the dictionary may be highly - and even perfectly - correlated. Our results do not depend on an accurate recovery of the coefficients. We demonstrate the validity of the results via several experiments.
Year
DOI
Venue
2012
10.1109/ISIT.2012.6283719
ISIT
Keywords
DocType
ISSN
signal representation,ℓ1-synthesis,coherent frames,sparse signal representations,compressed sensing,signal synthesis,redundant dictionary
Conference
2157-8095 E-ISBN : 978-1-4673-2578-3
ISBN
Citations 
PageRank 
978-1-4673-2578-3
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Yulong Liu100.68
Shidong Li22411.26
Tiebin Mi322.41
Hong Lei400.68
Weidong Yu500.34