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Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition

Abstract: 

Existed inherent sparsity of natural images in some domains helps to reconstruct the signal with a lower number of measurements. To benefit from the sparsity, one should solve the reweighted $\ell_{1}$-norm minimization algorithms. Although, the existed reweighted $\ell_{1}$-norm minimization approaches work well for k-sparse signals, but, the performance of these methods for compressible signals are not competitive with unweighted one. Motivated by this challenge, in this paper, we propose a new reweighted $\ell_{1}$-minimization algorithm based on singular value decomposition (SVD) of compressible signals like images. Moreover, we develop our proposed algorithm on the block-based compressed sensing (BCS) to make it applicable to large-size images. Simulation results also demonstrated the superiority of our proposed method over current state-of-the-art reweighted CS reconstruction algorithms for natural images.

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Paper Details

Authors:
Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar
Submitted On:
14 March 2017 - 5:40am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Seyed Hamid Safavi
Paper Code:
ICASSP-PMF-P4.4
Document Year:
2017
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(39 downloads)

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[1] Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar, "Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/1763. Accessed: Apr. 28, 2017.
@article{1763-17,
url = {http://sigport.org/1763},
author = {Niloufar Abaei; Seyed Hamid Safavi; Farah Torkamani-Azar },
publisher = {IEEE SigPort},
title = {Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition},
year = {2017} }
TY - EJOUR
T1 - Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition
AU - Niloufar Abaei; Seyed Hamid Safavi; Farah Torkamani-Azar
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/1763
ER -
Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar. (2017). Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition. IEEE SigPort. http://sigport.org/1763
Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar, 2017. Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition. Available at: http://sigport.org/1763.
Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar. (2017). "Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition." Web.
1. Niloufar Abaei, Seyed Hamid Safavi, Farah Torkamani-Azar. Reweighted Block-Based Compressed Sensing Using Singular Value Decomposition [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/1763