Application of Mix-Phase Wavelets to Sparsify Impedance Matrices
Summary :
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.
- Publication
- IEICE TRANSACTIONS on Communications Vol.E82-B No.10 pp.1688-1693
- Publication Date
- 1999/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Optical Communication
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Jiunn-Ming HUANG, Jeng-Long LEOU, Shyh-Kang JENG, Jenn-Hwan TARNG, "Application of Mix-Phase Wavelets to Sparsify Impedance Matrices" in IEICE TRANSACTIONS on Communications,
vol. E82-B, no. 10, pp. 1688-1693, October 1999, doi: .
Abstract: 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.
URL: https://global.ieice.org/en_transactions/communications/10.1587/e82-b_10_1688/_p
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@ARTICLE{e82-b_10_1688,
author={Jiunn-Ming HUANG, Jeng-Long LEOU, Shyh-Kang JENG, Jenn-Hwan TARNG, },
journal={IEICE TRANSACTIONS on Communications},
title={Application of Mix-Phase Wavelets to Sparsify Impedance Matrices},
year={1999},
volume={E82-B},
number={10},
pages={1688-1693},
abstract={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.},
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Application of Mix-Phase Wavelets to Sparsify Impedance Matrices
T2 - IEICE TRANSACTIONS on Communications
SP - 1688
EP - 1693
AU - Jiunn-Ming HUANG
AU - Jeng-Long LEOU
AU - Shyh-Kang JENG
AU - Jenn-Hwan TARNG
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Communications
SN -
VL - E82-B
IS - 10
JA - IEICE TRANSACTIONS on Communications
Y1 - October 1999
AB - 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.
ER -
English
