WEIGHTED-DAMPED APPROXIMATE MESSAGE PASSING FOR COMPRESSED SENSING

被引:0
作者
Wang, Shengchu [1 ]
Li, Yunzhou [1 ]
Gao, Zhen [1 ]
Wang, Jing [1 ]
机构
[1] Tsinghua Univ, Wireless & Mobile Commun R&D Ctr, Beijing 100084, Peoples R China
来源
2013 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING (ICASSP) | 2013年
关键词
Approximate Message Passing; Belief Propagation; Compressed Sensing; Tree-reweighted;
D O I
暂无
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
Approximate Message Passing (AMP) simplified from Loopy Belief Propagation (LBP), is an important algorithm for sparse signal reconstruction in Compressed Sensing (CS). To improve the performance of current AMP algorithms, a weighted-damped AMP algorithm (WDAMP) is derived from a weighted version of BP that adopt probability damping technique. Simulation results show that WDAMP outperforms normal AMP for both 1-D and 2-D signal reconstruction. For 1-D signal reconstruction, probability damping brings most of the improvement. For 2-D signal reconstruction, weighting technique makes the major contribution. In summary, WDAMP outperforms conventional AMP.
引用
收藏
页码:5865 / 5869
页数:5
相关论文
共 10 条
[1]   Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information [J].
Candès, EJ ;
Romberg, J ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (02) :489-509
[2]  
Donoho D.L., 2011, How to design message passing algorithms for compressed sensing
[3]   Message-passing algorithms for compressed sensing [J].
Donoho, David L. ;
Maleki, Arian ;
Montanari, Andrea .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2009, 106 (45) :18914-18919
[4]   Compressed sensing [J].
Donoho, DL .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (04) :1289-1306
[5]   Convergent tree-reweighted message passing for energy minimization [J].
Kolmogorov, Vladimir .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2006, 28 (10) :1568-1583
[6]   Probabilistic reconstruction in compressed sensing: algorithms, phase diagrams, and threshold achieving matrices [J].
Krzakala, Florent ;
Mezard, Marc ;
Sausset, Francois ;
Sun, Yifan ;
Zdeborova, Lenka .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
[7]   Factor graphs and the sum-product algorithm [J].
Kschischang, FR ;
Frey, BJ ;
Loeliger, HA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2001, 47 (02) :498-519
[8]   A message-passing algorithm with damping [J].
Pretti, M .
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, :165-179
[9]  
Wymeersch H., 2011, Proceedings of the 2011 IEEE International Symposium on Information Theory - ISIT, P2000, DOI 10.1109/ISIT.2011.6033905
[10]   Constructing free-energy approximations and generalized belief propagation algorithms [J].
Yedidia, JS ;
Freeman, WT ;
Weiss, Y .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (07) :2282-2312