Application of mix-phase wavelets to sparsify impedance matrices

Jiunn Ming Huanq*, Jeng Long Leou, Shyh Kang Jeng, Jenn-Hawn Tarng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)1688-1693
Number of pages6
JournalIEICE Transactions on Communications
Issue number10
StatePublished - 1 Jan 1999


  • Electromagnetic scattering
  • Impedance matrices
  • Mix-phase wavelet


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