Title
Perturbations of Compressed Data Separation With Redundant Tight Frames
Abstract
In the era of big data, the multi-modal data can be seen everywhere. Research on such data has attracted extensive attention in the past few years. In this paper, we investigate the perturbations of compressed data separation with redundant tight frames via & Unknown;-l(q)-minimization. By exploiting the properties of the redundant tight frame and the perturbation matrix, i.e., mutual coherence, null space property, and restricted isometry property, the condition on reconstruction of sparse signal with redundant tight frames is established, and the error estimation between the local optimal solution and the original signal is also provided. Numerical experiments are carried out to show that & Unknown;-l(q)-minimization is robust and stable for the reconstruction of sparse signal with redundant tight frames. To our knowledge, our works may be the first study concerning the perturbations of the measurement matrix and the redundant tight frame for compressed data separation.
Year
DOI
Venue
2018
10.1109/ACCESS.2018.2851019
IEEE ACCESS
Keywords
Field
DocType
Compressed data separation,perturbation,null space property,restricted isometry property
Kernel (linear algebra),Iterative reconstruction,Discrete mathematics,Noise measurement,Matrix (mathematics),Computer science,Robustness (computer science),Minification,Mutual coherence,Restricted isometry property,Distributed computing
Journal
Volume
ISSN
Citations 
6
2169-3536
0
PageRank 
References 
Authors
0.34
4
5
Name
Order
Citations
PageRank
Feng Zhang1115.93
Jianjun Wang25311.84
yao wang3712.96
Jianwen Huang442.40
Wendong Wang582172.69