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   Vol.E82-B   No.10   pp.1688-1693
Publication Date: 1999/10/25
Online ISSN: 
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.