Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor
Joint Authors
Li, Ming
Li, Qiufu
Yongdong, Huang
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-37, 37 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-09
Country of Publication
Egypt
No. of Pages
37
Main Subjects
Abstract EN
In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied.
Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations.
Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given.
Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced.
Finally, we give several numerical examples based on B-spline functions.
American Psychological Association (APA)
Yongdong, Huang& Li, Qiufu& Li, Ming. 2012. Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-1029666
Modern Language Association (MLA)
Yongdong, Huang…[et al.]. Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor. Mathematical Problems in Engineering No. 2012 (2012), pp.1-37.
https://search.emarefa.net/detail/BIM-1029666
American Medical Association (AMA)
Yongdong, Huang& Li, Qiufu& Li, Ming. Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-37.
https://search.emarefa.net/detail/BIM-1029666
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029666