A Study on Conjugate Quadratrue Filters

Author

Leng, Jin-Song ; Huang, Ting-Zhu ; Lin, Xiao-Yan ; Lu, Ying-Jin

Author_Institution

Sch. of Appl. Math., Univ. of Electron. of Sci. & Technol. of China, Chengdu, China

fYear

2009

fDate

11-13 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

It is very important for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter (CQF). In this paper, a general method of deriving a length-J + 1 conjugate quadrature filter with multiplicity r and scale a from a length-J conjugate quadrature filter is obtained. As a special case, we study generally the construction of a length-J + 1 conjugate quadrature filter which generates a compactly supported symmetric-antisymmetric orthonormal multiwavelet system with multiplicity 2 and scale 2 from a length-J conjugate quadrature filter. The related numerical example is given.

Keywords

quadrature mirror filters; wavelet transforms; conjugate quadrature filter; multiplicity; symmetric-antisymmetric orthonormal multiwavelet system; Equations; Filters; Harmonic analysis; Image analysis; Mathematics; Multiresolution analysis; Power generation economics; Signal processing; Technology management; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Software Engineering, 2009. CiSE 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4507-3

Electronic_ISBN

978-1-4244-4507-3

Type

conf

DOI

10.1109/CISE.2009.5364321

Filename

5364321