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.
Original language | English (US) |
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Article number | 920147 |
Pages (from-to) | 902-912 |
Number of pages | 11 |
Journal | IEEE Transactions on Microwave Theory and Techniques |
Volume | 49 |
Issue number | 5 |
DOIs | |
State | Published - May 1 2001 |
Externally published | Yes |
Keywords
- Time domain analysis
- Finite difference methods
- Spatial resolution
- Stability criteria
- Wavelet analysis
- Electromagnetic scattering
- Dielectrics
- Equations
- Computational efficiency
- Multiresolution analysis