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Application of Mix-Phase Wavelets to Sparsify Impedance Matrices
Jiunn-Ming HUANG Jeng-Long LEOU Shyh-Kang JENG Jenn-Hwan TARNG
IEICE TRANSACTIONS on Communications
Publication Date: 1999/10/25
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Optical Communication
electromagnetic scattering, mix-phase wavelet, impedance matrices,
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Effective wavelets to solve electromagnetic integral equations are proposed. It is based on the same construction procedure as Daubechies wavelets but with mix-phase to obtain maximum sparsity of moment matrix. These new wavelets are proved to have excellent performance in non-zero elements reduction in comparison with minimum-phase wavelet transform (WT). If further sparsity is concerned, wavelet packet (WP) transform can be applied but increases the computational complexity. In some cases, the capability of non-zero elements reduction by this new wavelets even better than WP with minimum-phase wavelets and with less computational efforts. Numerical experiments demonstrate the validity and effectiveness of the new wavelets.