Title
Cyclic pure greedy algorithms for recovering compressively sampled sparse signals
Abstract
The pure greedy algorithms matching pursuit (MP) and complementary MP (CompMP) are extremely computationally simple, but can perform poorly in solving the linear inverse problems posed by the recovery of compressively sampled sparse signals. We show that by applying a cyclic minimization principle, the performance of both are significantly improved while remaining computationally simple. Our simulations show that while MP and CompMP may not be competitive with state-of-the-art recovery algorithms, their cyclic variations are. We discuss ways in which their complexity can be further reduced, but our simulations show these can hurt recovery performance. Finally, we derive the exact recovery condition of CompMP and both cyclic algorithms.
Year
DOI
Venue
2011
10.1109/ACSSC.2011.6190193
Signals, Systems and Computers
Keywords
Field
DocType
greedy algorithms,iterative methods,signal restoration,signal sampling,CompMP,complementary MP algorithm,compressively sampled sparse signal recovery,cyclic minimization principle,cyclic pure greedy algorithm,matching pursuit algorithm
Matching pursuit,Mathematical optimization,Computer science,Iterative method,Greedy algorithm,Minification,Inverse problem,Greedy randomized adaptive search procedure,Signal restoration
Conference
ISSN
ISBN
Citations 
1058-6393
978-1-4673-0321-7
9
PageRank 
References 
Authors
0.70
10
3
Name
Order
Citations
PageRank
Bob L. Sturm124129.88
Mads Grísbøll Christensen276176.48
Rémi Gribonval3120783.59