Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix
Joint Authors
Li, Qiufu
Zhu, Fengjuan
Yongdong, Huang
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In order to characterize the bivariate signals, minimum-energy bivariate wavelet frames with arbitrary dilation matrix are studied, which are based on superiority of the minimum-energy frame and the significant properties of bivariate wavelet.
Firstly, the concept of minimum-energy bivariate wavelet frame is defined, and its equivalent characterizations and a necessary condition are presented.
Secondly, based on polyphase form of symbol functions of scaling function and wavelet function, two sufficient conditions and an explicit constructed method are given.
Finally, the decomposition algorithm, reconstruction algorithm, and numerical examples are designed.
American Psychological Association (APA)
Zhu, Fengjuan& Li, Qiufu& Yongdong, Huang. 2013. Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-506236
Modern Language Association (MLA)
Zhu, Fengjuan…[et al.]. Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-506236
American Medical Association (AMA)
Zhu, Fengjuan& Li, Qiufu& Yongdong, Huang. Minimum-Energy Bivariate Wavelet Frame with Arbitrary Dilation Matrix. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-506236
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506236