A Fast Algorithm for Joint Sparse Signal Recovery in 1-Bit Compressed Sensing

Author(s):  
Hwajin Yang ◽  
Nam Yul Yu
Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 834
Author(s):  
Jin ◽  
Yang ◽  
Li ◽  
Liu

Compressed sensing theory is widely used in the field of fault signal diagnosis and image processing. Sparse recovery is one of the core concepts of this theory. In this paper, we proposed a sparse recovery algorithm using a smoothed l0 norm and a randomized coordinate descent (RCD), then applied it to sparse signal recovery and image denoising. We adopted a new strategy to express the (P0) problem approximately and put forward a sparse recovery algorithm using RCD. In the computer simulation experiments, we compared the performance of this algorithm to other typical methods. The results show that our algorithm possesses higher precision in sparse signal recovery. Moreover, it achieves higher signal to noise ratio (SNR) and faster convergence speed in image denoising.


2015 ◽  
Vol 63 ◽  
pp. 66-78 ◽  
Author(s):  
Vidya L. ◽  
Vivekanand V. ◽  
Shyamkumar U. ◽  
Deepak Mishra

2013 ◽  
Vol 9 (8) ◽  
pp. 798537 ◽  
Author(s):  
ZheTao Li ◽  
JingXiong Xie ◽  
DengBiao Tu ◽  
Young-June Choi

2017 ◽  
Vol 37 (4) ◽  
pp. 1649-1668 ◽  
Author(s):  
Mahdi Shamsi ◽  
Tohid Yousefi Rezaii ◽  
Mohammad Ali Tinati ◽  
Amir Rastegarnia ◽  
Azam Khalili

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