Multiwavelet transforms based on several scaling functions

Author

Rieder, Peter ; Götze, Jürgen ; Nossek, Josef A.

Author_Institution

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

fYear

1994

fDate

25-28 Oct 1994

Firstpage

393

Lastpage

396

Abstract

An algebraic method for the design of discrete wavelet transforms based on several scaling functions is presented. Solving systems of partly nonlinear equations is necessary to compute the discrete coefficients. Wavelet transforms based on several scaling functions enable properties that are impossible in the single-wavelet case. Wavelet transforms based on several scaling functions can also be designed wavelet-like, what leads to a better approximation of the continuous bases. In this paper we show how to construct the discrete wavelet transforms based on several scaling functions with the algebraic design method and discuss the properties of the resulting wavelet bases

Keywords

algebra; nonlinear equations; signal processing; transforms; wavelet transforms; algebraic method; design; discrete coefficients; discrete wavelet transforms; multiwavelet transforms; partly nonlinear equations; scaling functions; wavelet bases; Biomedical signal processing; Circuit synthesis; Continuous wavelet transforms; Design methodology; Discrete transforms; Discrete wavelet transforms; Electronic mail; Integral equations; Nonlinear equations; Wavelet transforms;

fLanguage

English

Publisher

ieee

Conference_Titel

Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on

Conference_Location

Philadelphia, PA

Print_ISBN

0-7803-2127-8

Type

conf

DOI

10.1109/TFSA.1994.467330

Filename

467330