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A nonconvex penalty function with integral convolution approximation for compressed sensing

delete2019-05-01
delete22
PRE
AI
J
Jianjun Wang
张峰 封面图
张峰 (Feng Zhang) *
J
Jianwen Huang
王文东 封面图
王文东 (Wendong Wang)
C
Changan Yuan
DOI:10.1016/j.sigpro.2019.01.001delete
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摘要

摘要

En 中文
In this paper, we propose a novel nonconvex penalty function for compressed sensing using integral convolution approximation. It is well known that an unconstrained optimization criterion based on l(1)-norm easily underestimates the large component in signal recovery. Moreover, most methods either perform well only under the Gaussian random measurement matrix satisfying restricted isometry property or the highly coherent measurement matrix, which both can not be established at the same time. We introduce a new solver to address both of these concerns by adopting a frame of the difference between two convex functions with integral convolution approximation. What's more, to better boost the recovery performance, a weighted version of it is also provided. Experimental results suggest the effectiveness and robustness of our methods through several signal reconstruction examples in term of success rate and signal-to-noise ratio. (C) 2019 Elsevier B.V. All rights reserved.
Keyword:
Compressed sensing
Penalty function
Integral convolution
Restricted isometry property
Coherence
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期刊

Signal Processing 封面图
Signal Processing
IF:
3.6
论文数:
10.0K
被引数:
1.7W

机构

S
southwest university - china
学者数:
2.6W
论文数: 1.9W
被引数: 21
N
Nanning Normal University
学者数:
1.6K
论文数: 1.2K
被引数: 1.8K
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