Multiresolution time-domain algorithm using CDF biorthogonal wavelets

Author

Dogaru, Traian ; Carin, Lawrence

Author_Institution

Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA

Volume

49

Issue

5

fYear

2001

fDate

5/1/2001 12:00:00 AM

Firstpage

902

Lastpage

912

Abstract

A new approach to the multiresolution time-domain (MRTD) algorithm is presented in this paper by introducing a field expansion in terms of biorthogonal scaling and wavelet functions. Particular focus is placed on the Cohen-Daubechies-Feauveau (CDF) biorthogonal-wavelet class, although the methodology is appropriate for general biorthogonal wavelets. The computational efficiency and numerical dispersion of the MRTD algorithm are addressed, considering several CDF biorthogonal wavelets, as well as other wavelet families. The advantages of the biorthogonal MRTD method are presented, with emphasis on numerical issues

Keywords

cavity resonators; electromagnetic fields; microwave circuits; time-domain analysis; wavelet transforms; Cohen-Daubechies-Feauveau biorthogonal-wavelet class; MRTD algorithm; computational efficiency; field expansion; general biorthogonal wavelets; multiresolution time-domain algorithm; numerical dispersion; Computational efficiency; Dielectrics; Electromagnetic scattering; Equations; Finite difference methods; Multiresolution analysis; Spatial resolution; Stability criteria; Time domain analysis; Wavelet analysis;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.920147

Filename

920147