Title
Performance Analysis of Joint-Sparse Recovery from Multiple Measurements and Prior Information via Convex Optimization.
Abstract
We address the problem of compressed sensing with multiple measurement vectors associated with prior information in order to better reconstruct an original sparse matrix signal. $\ell_{2,1}-\ell_{2,1}$ minimization is used to emphasize co-sparsity property and similarity between matrix signal and prior information. We then derive the necessary and sufficient condition of successfully reconstructing the original signal and establish the lower and upper bounds of required measurements such that the condition holds from the perspective of conic geometry. Our bounds further indicates what prior information is helpful to improve the the performance of CS. Experimental results validates the effectiveness of all our findings.
Year
Venue
Field
2015
CoRR
Mathematical optimization,Matrix (mathematics),Convex combination,Conic optimization,Proper convex function,Convex optimization,Compressed sensing,Mathematics,Sparse matrix,Linear matrix inequality
DocType
Volume
Citations 
Journal
abs/1509.06655
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Shih-Wei Hu192.24
Gang-Xuan Lin242.75
Sung-Hsien Hsieh34813.71
Wei-Jie Liang492.48
Chun-shien Lu51238104.71