Impedance matrix compression using an effective quadrature filter
Journal
IEE Proceedings: Microwaves, Antennas and Propagation
Journal Volume
147
Journal Issue
4
Pages
255-260
Date Issued
2000
Author(s)
Subjects
An effective quadrature mirror filter (QMF) proposed by Vaidyanathan 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.
Other Subjects
Algorithms; Data compression; Digital signal processing; Light scattering; Matrix algebra; Mirrors; Wavelet transforms; Quadrature mirror filters (QMF); Transition bandwidth; Wavelet packet algorithms; Optical filters
Type
journal article
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