Title
A Block Fixed Point Continuation Algorithm for Block-Sparse Reconstruction
Abstract
Block-sparse reconstruction, which arises from the reconstruction of block-sparse signals in structured compressed sensing, is generally considered difficult to solve due to the mixed-norm structure. In this letter, we propose an algorithm for reconstructing block-sparse signals, that is an extension of fixed point continuation in block-wise case by incorporating block coordinate descent technique. We also apply our algorithm to multiple measurement vector reconstruction, that is a special case of block-sparse reconstruction and can be used in magnetic resonance imaging reconstruction. Numerical results show the validity of our algorithm for both synthetic and real-world data.
Year
DOI
Venue
2012
10.1109/LSP.2012.2195488
IEEE Signal Process. Lett.
Keywords
Field
DocType
block-sparse reconstruction,block coordinate descent,structured compressed sensing,approximation theory,magnetic resonance imaging reconstruction,measurement vector reconstruction,block coordinate descent technique,compressed sensing,fixed point continuation,block-wise case,signal reconstruction,mixed-norm structure,block-sparse signal,block fixed point continuation algorithm,magnetic resonance imaging,magnetic resonance image,signal processing,vectors,image reconstruction,fixed point,minimization
Iterative reconstruction,Mathematical optimization,Algorithm,Approximation theory,Minification,Coordinate descent,Fixed point,Signal reconstruction,Mathematics,Compressed sensing,Special case
Journal
Volume
Issue
ISSN
19
6
1070-9908
Citations 
PageRank 
References 
8
0.50
8
Authors
3
Name
Order
Citations
PageRank
Jian Zou1163.00
Yuli Fu220029.90
Shengli Xie32530161.51