The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
Copyrights notice
The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
MoM(모멘트법)과 결합된 웨이블릿 매트릭스 변환 접근법은 금속 스트립 배열의 전자기 산란 문제를 해결하기 위해 적용됩니다. 문제는 먼저 기존 MoM으로 이산화되어 조밀한 임피던스 행렬을 얻은 다음 웨이블릿 행렬 변환을 적용하여 희소 행렬을 생성합니다. 이 접근 방식은 웨이블릿 기반 확장 방법에 존재하는 수많은 적분 계산을 피하고 산란 문제에 대한 솔루션에 대한 빠른 접근 방식을 제공합니다. Daubechies의 웨이블릿은 희소 웨이블릿 행렬을 구성하기 위한 모 웨이블릿으로 선택되어 변환 비용에서만 발생하는 행렬-행렬 곱셈을 수행합니다. O(N2)와 N 알려지지 않은 것. 수치 테스트를 통해 결과 희소 행렬을 해결하는 데 필요한 계산 비용은 다음과 같습니다. O(N 기록 N). 웨이블릿의 소멸 모멘트 수에 대한 적절한 선택은 전체 계산 비용과 솔루션의 정확성을 고려하여 제안됩니다.
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Ning GUAN, Ken'ichiro YASHIRO, Sumio OHKAWA, "Wavelet Matrix Transform Approach for Electromagnetic Scattering from an Array of Metal Strips" in IEICE TRANSACTIONS on Electronics,
vol. E82-C, no. 7, pp. 1273-1279, July 1999, doi: .
Abstract: The wavelet matrix transform approach, in combination with the method of moments (MoM), is applied to solve the electromagnetic scattering problem of an array of metal strips. The problem is first discretized by the conventional MoM to obtain a dense impedance matrix, then the wavelet matrix transform is applied to produce a sparse matrix. This approach avoids a great number of integral computations existing in the wavelet basis expansion method and provides fast approach to solution for the scattering problem. Daubechies' wavelet is chosen as the mother wavelet to construct a sparse wavelet matrix so that the matrix-matrix multiplications occurring in the transform cost only O(N2) with N unknowns. Numerical tests show that the computation cost necessary for solving the resultant sparse matrix is only O(N log N). An appropriate choice of the number of vanishing moments of wavelets is suggested from consideration of total computation cost and accuracy of solutions.
URL: https://global.ieice.org/en_transactions/electronics/10.1587/e82-c_7_1273/_p
부
@ARTICLE{e82-c_7_1273,
author={Ning GUAN, Ken'ichiro YASHIRO, Sumio OHKAWA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Wavelet Matrix Transform Approach for Electromagnetic Scattering from an Array of Metal Strips},
year={1999},
volume={E82-C},
number={7},
pages={1273-1279},
abstract={The wavelet matrix transform approach, in combination with the method of moments (MoM), is applied to solve the electromagnetic scattering problem of an array of metal strips. The problem is first discretized by the conventional MoM to obtain a dense impedance matrix, then the wavelet matrix transform is applied to produce a sparse matrix. This approach avoids a great number of integral computations existing in the wavelet basis expansion method and provides fast approach to solution for the scattering problem. Daubechies' wavelet is chosen as the mother wavelet to construct a sparse wavelet matrix so that the matrix-matrix multiplications occurring in the transform cost only O(N2) with N unknowns. Numerical tests show that the computation cost necessary for solving the resultant sparse matrix is only O(N log N). An appropriate choice of the number of vanishing moments of wavelets is suggested from consideration of total computation cost and accuracy of solutions.},
keywords={},
doi={},
ISSN={},
month={July},}
부
TY - JOUR
TI - Wavelet Matrix Transform Approach for Electromagnetic Scattering from an Array of Metal Strips
T2 - IEICE TRANSACTIONS on Electronics
SP - 1273
EP - 1279
AU - Ning GUAN
AU - Ken'ichiro YASHIRO
AU - Sumio OHKAWA
PY - 1999
DO -
JO - IEICE TRANSACTIONS on Electronics
SN -
VL - E82-C
IS - 7
JA - IEICE TRANSACTIONS on Electronics
Y1 - July 1999
AB - The wavelet matrix transform approach, in combination with the method of moments (MoM), is applied to solve the electromagnetic scattering problem of an array of metal strips. The problem is first discretized by the conventional MoM to obtain a dense impedance matrix, then the wavelet matrix transform is applied to produce a sparse matrix. This approach avoids a great number of integral computations existing in the wavelet basis expansion method and provides fast approach to solution for the scattering problem. Daubechies' wavelet is chosen as the mother wavelet to construct a sparse wavelet matrix so that the matrix-matrix multiplications occurring in the transform cost only O(N2) with N unknowns. Numerical tests show that the computation cost necessary for solving the resultant sparse matrix is only O(N log N). An appropriate choice of the number of vanishing moments of wavelets is suggested from consideration of total computation cost and accuracy of solutions.
ER -