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 |
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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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After the validation process, MRTD is used for the first time for the numerical optimization of complex RF structures such as evanescent-mode filters.</description><subject>Boundaries</subject><subject>Exact solutions</subject><subject>Finite difference method</subject><subject>Finite difference methods</subject><subject>Grid computing</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Microwave theory and techniques</subject><subject>Microwaves</subject><subject>Military computing</subject><subject>MMICs</subject><subject>Multiresolution analysis</subject><subject>Optimization</subject><subject>Packaging</subject><subject>Signal representations</subject><subject>Time domain analysis</subject><subject>Wavelet</subject><subject>Wavelet analysis</subject><issn>0018-9480</issn><issn>1557-9670</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNqN0TtPwzAQAGALgUQpDKxMFgNqhxTbsR17ROUpFSGhMjFEjnsBV3kUOyni35MqFUgMwHS6u-9uuEPomJIJpUSfMzbRirGY7KABFSKJtEzILhoQQlWkuSL76CCEZZdyQdQAPd-3ReM8hLpoG1dXuHElRIu6NK7Co_vH-eUYm4VZNW4NONhXKCHgNrjqBRufucYb_4G_xwOuc_xu1lBAEw7RXm6KAEfbOERP11fz6W00e7i5m17MIstj3kRSMGq4UIvMZjbnNJNKchAxQG4YJ4pblS2Y4SYnTNkkYTHr6iIWluZW2iweorN-78rXby2EJi1dsFAUpoK6DSlTsdZE6r9hwqgUmvwHEqUo6-DoV0hlQmOmldzsPP1Bl3Xrq-4wqVKc64RS2aFxj6yvQ_CQpyvvyu7GKSXp5sEpY2n_4M6e9NYBwJfbNj8BQbCfmQ</recordid><startdate>20020201</startdate><enddate>20020201</enddate><creator>Tentzeris, E.M.</creator><creator>Cangellaris, A.</creator><creator>Katehi, L.P.B.</creator><creator>Harvey, J.</creator><general>IEEE</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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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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