Orthogonal multiwavelets with optimum time-frequency resolution

Author

Jiang, Qingtang

Author_Institution

Dept. of Math., Beijing Univ., China

Volume

46

Issue

4

fYear

1998

fDate

4/1/1998 12:00:00 AM

Firstpage

830

Lastpage

844

Abstract

A procedure to design orthogonal multiwavelets with good time-frequency resolution is introduced. Formulas to compute the time-durations and the frequency-bandwidths of scaling functions and multiwavelets are obtained. Parameter expressions for the matrix coefficients of the multifilter banks that generate symmetric/antisymmetric scaling functions and multiwavelets supported in [O,N] are presented for N=2,...,6. Orthogonal multiwavelets with optimum time-frequency resolution are constructed, and some optimal multifilter banks are provided

Keywords

FIR filters; band-pass filters; circuit optimisation; filtering theory; matrix algebra; signal resolution; signal synthesis; time-frequency analysis; wavelet transforms; FIR matrix filter; frequency-bandwidths; matrix coefficients; optimal multifilter banks; optimum time-frequency resolution; orthogonal multiwavelets design; parameter expressions; scaling functions; symmetric/antisymmetric scaling functions; time-durations; Filters; Mathematics; Multiresolution analysis; Stability; Symmetric matrices; Time frequency analysis; Vectors; Wavelet analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.668540

Filename

668540