Symmetric and Anti-Symmetric Wavelet-Based Moment Method for the Analysis of Planar Microstrip Structures


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Abstract


The aim of this paper is to highlight the symmetric property of wavelets in electromagnetic modeling. These wavelets can be classified in three categories: symmetric (e.g., Biorthogonal Splines), antisymmetric (e.g., Symmlet) and asymmetric (Daubechies). The microstrip line is modeling with wavelet-moments method in order to compare between symmetric, antisymmetric, and asymmetric wavelets. The charge density, the characteristic impedance and effective dielectric constant in the microstrip line are obtained for a range of structure parameters and the dielectric constant. The relative error in the threshold for each wavelet category is calculated. It is shown that the symmetric wavelets provides better results than asymmetrical and antisymetrical. Comparisons of the sparsity impedance matrix, run-times and CPU Time reduction are made for different type wavelets. Numerical results are compared with previously published data with good agreement.
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Keywords


Computational Modeling; Microstrip Line; Moment Method; Symmetrical and Antisymmetric Wavelet; Wavelets Basis

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