Parameterization of symmetric multiwavelets

Author

Rieder, Peter

Author_Institution

Inst. of Network Theory & Circuit Design, Tech. Univ. of Munich, Germany

Volume

3

fYear

1997

fDate

21-24 Apr 1997

Firstpage

2461

Abstract

Multiwavelets based on two scaling functions are discussed. They exhibit the following properties: compact support, symmetry and orthogonality as well as a good frequency resolution. Lattice structures do not only offer the possibility to implement these multiwavelet transforms, the lattice rotation angles also can be used in order to parameterize all multiwavelets of a certain length. Here we search for optimal multiwavelets with respect to regularity, vanishing moments, frequency behavior (stopband attenuation) and also take a simple implementation into consideration

Keywords

filtering theory; lattice filters; signal processing; transforms; wavelet transforms; compact support; discrete transforms; frequency behavior; frequency resolution; lattice filters; lattice rotation angles; lattice structures; multiwavelet transforms; optimal multiwavelets; orthogonal wavelets; regularity; signal processing; stopband attenuation; symmetric multiwavelets parameterization; vanishing moments; Circuit synthesis; Discrete wavelet transforms; Electronic mail; Filters; Frequency; Integral equations; Lattices; Matrix converters; Symmetric matrices; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1997. ICASSP-97., 1997 IEEE International Conference on

Conference_Location

Munich

ISSN

1520-6149

Print_ISBN

0-8186-7919-0

Type

conf

DOI

10.1109/ICASSP.1997.599574

Filename

599574