Title
D-OAMP: A denoising-based signal recovery algorithm for compressed sensing
Abstract
Approximate message passing (AMP) is an efficient iterative signal recovery algorithm for compressed sensing (CS). For sensing matrices with independent and identically distributed (i.i.d.) Gaussian entries, the behavior of AMP can be asymptotically described by a scaler recursion called state evolution. Orthogonal AMP (OAMP) is a variant of AMP that imposes a divergence-free constraint on the denoiser. In this paper, we extend OAMP to incorporate generic denoisers, hence the name D-OAMP. Our numerical results show that state evolution predicts the performance of D-OAMP well for generic denoisers when i.i.d. Gaussian or partial orthogonal sensing matrices are involved. We compare the performances of denosing-AMP (D-AMP) and D-OAMP for recovering natural images from CS measurements. Simulation results show that D-OAMP outperforms D-AMP in both convergence speed and recovery accuracy for partial orthogonal sensing matrices.
Year
DOI
Venue
2016
10.1109/GlobalSIP.2016.7905845
2016 IEEE Global Conference on Signal and Information Processing (GlobalSIP)
Keywords
DocType
Volume
Compressed sensing,approximate message passing (AMP),denoising,orthogonal AMP,partial orthogonal matrix
Conference
abs/1610.05991
ISSN
ISBN
Citations 
2376-4066
978-1-5090-4546-4
2
PageRank 
References 
Authors
0.38
9
3
Name
Order
Citations
PageRank
Zhipeng Xue141.76
Junjie Ma214815.24
Xiao-jun Yuan399486.74