Title
Construction of compressive measurement matrix based on convolution of fractional chaos and cyclic matrix.
Abstract
A method is proposed to construct an improved measurement matrix-chaotic cyclic convolution measurement matrix (CCCMM). It is constructed by convoluting the fractional order Lorenz chaotic sequences and the cyclic matrix; since cyclic matrix is easy to implement on hardware, accurate reconstructed signal can be obtained by using fractional order chaos with pseudorandomness and convoluting them makes computing results smooth. Meanwhile, CCCMM is proved to have the high probability to satisfy the restricted isometry property. Then, the one-dimensional signals and two-dimensional images are simulated by the CCCMM and other methods, and the results show that the CCCMM is more superior in evaluating recovered signals with parameters and the visual effect of the restored images. (C) 2018 SPIE and IS&T
Year
DOI
Venue
2018
10.1117/1.JEI.27.6.063030
JOURNAL OF ELECTRONIC IMAGING
Keywords
Field
DocType
fractional order Lorentz,Pearson correlation coefficient,cyclic matrix,convolution,restricted isometry property
Computer vision,Matrix (mathematics),Computer science,Convolution,Algorithm,Artificial intelligence
Journal
Volume
Issue
ISSN
27
6
1017-9909
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Li-Lian Huang1562.65
Min Li29538.07
Jian-Hong Xiang300.34