Application of mix-phase wavelets to sparsify impedance matrices

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 wave lets are proved to have excellent performance in non-zero elements reductio n in comparison with minimum-phase wavelet transform (WT). If further spars ity is concerned, wavelet packet (WP) transform can be applied but increase s the computational complexity. In some eases, the capability of non-zero e lements reduction by this nsw wavelets even better than WP with minimum-pha se wavelets and with less computational efforts. Numerical experiments demo nstrate the validity and effectiveness of the neu; wavelets.