Construction of a class of orthogonal vector-valuedwavelets with three-scale

Author

Luo, Ping ; Du, Jian-gen

Author_Institution

Dept. of Fundamental Sci., Henan Polytech. Inst., Nanyang

Volume

2

fYear

2008

fDate

30-31 Aug. 2008

Firstpage

557

Lastpage

562

Abstract

The notion of vector-valued wavelets with three-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with three-scale is discussed. A necessary and sufficient condition is presented by means of the theory of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a class of orthogonal vector-valued wavelets with compact support is proposed.

Keywords

channel bank filters; filtering theory; signal resolution; vectors; wavelet transforms; orthogonal vector-valued scaling function; orthogonal vector-valued wavelet; paraunitary vector filter bank theory; three-scale dilation factor; vector-valued multiresolution analysis theory; Discrete wavelet transforms; Filter bank; Image coding; Multiresolution analysis; Pattern analysis; Pattern recognition; Signal processing algorithms; Sufficient conditions; Wavelet analysis; Wavelet packets; Multiresolution Analysis; Orthogonal Scaling Function; Orthogonal Wavelet Packets; Refinement Equation; Trivariate;

fLanguage

English

Publisher

ieee

Conference_Titel

Wavelet Analysis and Pattern Recognition, 2008. ICWAPR '08. International Conference on

Conference_Location

Hong Kong

Print_ISBN

978-1-4244-2238-8

Electronic_ISBN

978-1-4244-2239-5

Type

conf

DOI

10.1109/ICWAPR.2008.4635842

Filename

4635842