Minimum-Energy Multiwavelet Frame on the Interval [0,1]

Joint Authors

Li, Qiufu
Feng, Xiao
Yongdong, Huang
Fengjuan, Zhu

Source

Mathematical Problems in Engineering

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-19, 19 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-05-26

Country of Publication

Egypt

No. of Pages

19

Main Subjects

Civil Engineering

Abstract EN

Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval [0,1] (MEMWFI).

Firstly, left boundary multiscalingfunctions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations ofMEMWFI are given.

Then, two algorithms of constructing MEMWFI are proposed.

Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.

American Psychological Association (APA)

Fengjuan, Zhu& Yongdong, Huang& Feng, Xiao& Li, Qiufu. 2015. Minimum-Energy Multiwavelet Frame on the Interval [0,1]. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-19.
https://search.emarefa.net/detail/BIM-1073346

Modern Language Association (MLA)

Fengjuan, Zhu…[et al.]. Minimum-Energy Multiwavelet Frame on the Interval [0,1]. Mathematical Problems in Engineering No. 2015 (2015), pp.1-19.
https://search.emarefa.net/detail/BIM-1073346

American Medical Association (AMA)

Fengjuan, Zhu& Yongdong, Huang& Feng, Xiao& Li, Qiufu. Minimum-Energy Multiwavelet Frame on the Interval [0,1]. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-19.
https://search.emarefa.net/detail/BIM-1073346

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1073346