On the design of multifilter banks and orthonormal multiwavelet bases

Author

Jiang, Qingtang

Author_Institution

Dept. of Math., Nat. Univ. of Singapore, Singapore

Volume

46

Issue

12

fYear

1998

fDate

12/1/1998 12:00:00 AM

Firstpage

3292

Lastpage

3303

Abstract

Several forms of parametric expressions for orthogonal multifilter banks are presented. The explicit expressions for a group of orthogonal multifilter banks that generate symmetric/antisymmetric scaling functions and orthonormal multiwavelets are obtained. Based on these parametric expressions for orthogonal multifilter banks, orthonormal multiwavelet pairs with good time-frequency localization are constructed, and examples of optimal multifilter banks are provided

Keywords

FIR filters; channel bank filters; circuit optimisation; digital filters; signal resolution; time-frequency analysis; wavelet transforms; FIR filters; explicit expressions; multifilter banks design; optimal multifilter banks; orthogonal multifilter banks; orthonormal multiwavelet bases; orthonormal multiwavelet pairs; parametric expressions; symmetric/antisymmetric scaling functions; time-frequency localization; time-frequency resolution; Equations; Filter bank; Finite impulse response filter; Frequency domain analysis; Frequency response; Mathematics; Multiresolution analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.735304

Filename

735304