The description of two-direction biorthogonal finitely supported wavelet packets with three-scale dilation

Author

Feng, Jinshun ; Jiang, Shuyan

Author_Institution

Sch. of Educ., Nanyang Inst. of Technol., Nanyang, China

Volume

2

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

192

Lastpage

195

Abstract

In this work, the concept of biorthogonal two-direction finitely supported wavelet packets with three-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

matrix decomposition; time-frequency analysis; wavelet transforms; Riesz bases; matrix theory; operator theory; three-scale dilation; time-frequency analysis; two-direction biorthogonality; wavelet packets; Design methodology; Educational technology; Equations; Fourier transforms; Intelligent transportation systems; Multiresolution analysis; Power electronics; Time frequency analysis; Wavelet analysis; Wavelet packets; Biorthogonal; Tiesz bases; Two-direction; time-frequency analysis; wavelet packets;

fLanguage

English

Publisher

ieee

Conference_Titel

Power Electronics and Intelligent Transportation System (PEITS), 2009 2nd International Conference on

Conference_Location

Shenzhen

Print_ISBN

978-1-4244-4544-8

Type

conf

DOI

10.1109/PEITS.2009.5406924

Filename

5406924