Title :
On Daubechies wavelet based time domain scheme
Author :
Tretiakov, Y.V. ; Pan, G.W.
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
Abstract :
The wavelet-Galerkin time domain (WGTD) approach proposed by Cheong et al., (1999), significantly simplified the multi-resolution time domain technique (MRTD) of Krumpholz et al., (1996). In this paper, we provide a rigorous analysis of the WGTD, employing positive sampling functions and their biorthogonal dual. This biorthogonal system has exact interpolation properties and demonstrates superiority over the FDTD in terms of memory and speed. Numerical examples and comparisons to the traditional FDTD results are provided.
Keywords :
Galerkin method; interpolation; sampling methods; time-domain analysis; waveguide theory; wavelet transforms; Daubechies wavelet; MRTD; WGTD technique; biorthogonal dual; interpolation; multi-resolution time domain technique; positive sampling functions; time domain scheme; wavelet-Galerkin technique; Equations; Finite difference methods; Interpolation; Multiresolution analysis; Sampling methods; Testing; Time domain analysis; Wavelet domain;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2001. IEEE
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-7070-8
DOI :
10.1109/APS.2001.959588
