Multiresolution time-domain using CDF biorthogonal wavelets

T. Dogaru; L. Carin

doi:10.1109/22.920147

Multiresolution time-domain using CDF biorthogonal wavelets

T. Dogaru, L. Carin

Research output: Contribution to journal › Article › peer-review

77 Scopus citations

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 biothogonal 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)
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	https://doi.org/10.1109/22.920147 https://doi.org/10.1109/22.920147
State	Published - Jun 18 2001
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2021-02-09

Keywords

Time domain analysis
Finite difference methods
Spatial resolution
Stability criteria
Wavelet analysis
Electromagnetic scattering
Dielectrics
Equations
Computational efficiency
Multiresolution analysis

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Cite this

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title = "Multiresolution time-domain using CDF biorthogonal wavelets",

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 biothogonal wavelets, as well as other wavelet families. The advantages of the biorthogonal MRTD method are presented, with emphasis on numerical issues.",

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AU - Carin, L.

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AB - 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 biothogonal wavelets, as well as other wavelet families. The advantages of the biorthogonal MRTD method are presented, with emphasis on numerical issues.

KW - Time domain analysis

KW - Finite difference methods

KW - Spatial resolution

KW - Stability criteria

KW - Wavelet analysis

KW - Electromagnetic scattering

KW - Dielectrics

KW - Equations

KW - Computational efficiency

KW - Multiresolution analysis

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DO - 10.1109/22.920147

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EP - 912

JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

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M1 - 920147

ER -

Multiresolution time-domain using CDF biorthogonal wavelets

Abstract

Bibliographical note

Keywords

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