Characteristics of two-directional univariate wavelet packets

Author

Chen, Qingjiang ; He, Xuehai

Author_Institution

Sch. of Sci., Xi´´an Univ. of Arch. & Tech., Nanyang, China

fYear

2010

fDate

16-18 April 2010

Firstpage

20

Lastpage

24

Abstract

Wavelet analysis is a popular subject in science research. In this work, the concept of biorthogonal two-direction finitely supported wavelet packets with four-scale is introduced. A new method for designing two-direction biorthogonal wavelet packets is developed and their properties is investigated by means of time-frequency analysis method, matrix theory and operator theory. The decomposition relationship is established. Lastly, two Riesz bases of space L² (R) are drawn from these wavelet packets.

Keywords

time-frequency analysis; wavelet transforms; Tiesz bases; biorthogonal wavelet packets; decomposition relationship; time-frequency analysis method; Biomedical signal processing; Design methodology; Educational institutions; Equations; Helium; Matrix decomposition; Multiresolution analysis; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonal; Tiesz bases; Two-direction; time-frequency analysis; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Management and Engineering (ICIME), 2010 The 2nd IEEE International Conference on

Conference_Location

Chengdu

Print_ISBN

978-1-4244-5263-7

Electronic_ISBN

978-1-4244-5265-1

Type

conf

DOI

10.1109/ICIME.2010.5477494

Filename

5477494