Multiresolution time-domain (MRTD) adaptive schemes using arbitrary resolutions of wavelets

A space- and time-adaptive two-dimensional multiresolution time-domain (MRTD) algorithm based on arbitrary resolutions of Battle-Lemarie wavelets is proposed. Analytic expressions for the finite-summation coefficients are derived and details concerning the modeling of hard boundaries, excitation, an...

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Veröffentlicht in:IEEE transactions on microwave theory and techniques 2002-02, Vol.50 (2), p.501-516
Hauptverfasser: Tentzeris, E.M., Cangellaris, A., Katehi, L.P.B., Harvey, J.
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creator Tentzeris, E.M.
Cangellaris, A.
Katehi, L.P.B.
Harvey, J.
description A space- and time-adaptive two-dimensional multiresolution time-domain (MRTD) algorithm based on arbitrary resolutions of Battle-Lemarie wavelets is proposed. Analytic expressions for the finite-summation coefficients are derived and details concerning the modeling of hard boundaries, excitation, and field reconstruction are extensively discussed. Through the use of a combination of absolute and relative thresholding, a dynamically changing grid is developed with minimal computational requirements in comparison to the finite-difference time-domain technique. After the validation process, MRTD is used for the first time for the numerical optimization of complex RF structures such as evanescent-mode filters.
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subjects Boundaries
Exact solutions
Finite difference method
Finite difference methods
Grid computing
Mathematical analysis
Mathematical models
Microwave theory and techniques
Microwaves
Military computing
MMICs
Multiresolution analysis
Optimization
Packaging
Signal representations
Time domain analysis
Wavelet
Wavelet analysis
title Multiresolution time-domain (MRTD) adaptive schemes using arbitrary resolutions of wavelets
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