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

Civil Engineering

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