Impedance matrix compression using an effective quadrature filter

Author

Huang, J.-M. ; Leou, J.-L. ; Jeng, S.-K. ; Tarng, J.H.

Author_Institution

Dept. of Commun. Eng., Nat. Chiao Tung Univ., Hsinchu, Taiwan

Volume

147

Issue

4

fYear

2000

fDate

8/1/2000 12:00:00 AM

Firstpage

255

Lastpage

260

Abstract

An effective quadrature mirror filter (QMF) proposed by Vaidyanathan and Huong (1988) has been used to solve 2D scattering problems. QMF has been popular for some time in digital signal processing, under the names of multirate sampling, wavelets, etc. In this work, the impulse response coefficients of QMF were used to construct the wavelet transform matrix. Using the matrix to transform the impedance matrices of 2D scatterers produces highly sparse moment matrices that can be solved efficiently. Such a presentation provides better sparsity than the celebrated and widely used Daubechies wavelets. These QMF coefficients are dependent on the filter parameters such as transition bandwidth and filter length. It was found that the sharper the transition bandwidth, the greater the reduction in nonzero elements of the impedance matrix. It also can be applied in the wavelet packet algorithm to further sparsify the impedance matrix. Numerical examples are given to demonstrate the effectiveness and validity of our finding

Keywords

channel bank filters; electromagnetic wave scattering; impedance matrix; lattice filters; quadrature mirror filters; sparse matrices; transient response; wavelet transforms; 2D scattering problems; QMF coefficients; effective quadrature filter; filter length; filter parameters; impedance matrix compression; impulse response coefficients; nonzero elements; quadrature mirror filter; sparse moment matrices; sparsity; transition bandwidth; wavelet packet algorithm; wavelet transform matrix;

fLanguage

English

Journal_Title

Microwaves, Antennas and Propagation, IEE Proceedings

Publisher

iet

ISSN

1350-2417

Type

jour

DOI

10.1049/ip-map:20000361

Filename

861472