Application of Mix-Phase Wavelets to Sparsify Impedance Matrices
نویسندگان
چکیده
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 minimumphase wavelets and with less computational efforts. Numerical experiments demonstrate the validity and effectiveness of the new wavelets. key words: electromagnetic scattering, mix-phase wavelet,
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