A HIGH ACCURACY CONFORMAL METHOD FOR EVALUATING THE DISCONTINUOUS FOURIER TRANSFORM
A HIGH ACCURACY CONFORMAL METHOD FOR EVALUATING THE DISCONTINUOUS FOURIER TRANSFORM
复制标题
评估不连续傅立叶变换的高精度共形方法
DOI:
10.2528/pier10082007
复制
发表时间:
2010
期刊:
影响因子:
--
通讯作者:
Liu Lijun
中科院分区:
文献类型:
--
作者:
Zhu Chunhui;Liu QH;Shen Yi;Liu Lijun
A highly accurate, fast algorithm is proposed to evaluate the flnite Fourier transform of both continuous and discontinues functions. As the discretization is conformal to the function discontinuities, this method is called the conformal Fourier transform (CFT) method. It is applied to computational electromagnetics to calculate the Fourier transform of induced electric current densities in a volume integral equation. The spectral discrimination in the CFT method can be arbitrary and the spectral range can be as large as needed. As no discretization for the Fourier exponential kernel is needed, the CFT method is not restricted by the Nyquist sampling theorem, thus avoiding the aliasing distortions that exist in other traditional methods. The accuracy of the CFT method is greatly improved since the method is based on high order interpolation and the closed-form Fourier transforms for polynomials partly reduce the error due to discretization. Assuming Ns and N are the numbers
登录
查看更多内容
DOI:
10.1016/s0096-3003(02)00609-4
发表时间:
2003-12
期刊:
Appl. Math. Comput.
影响因子:
--
作者:
Moawwad E. A. El-Mikkawy
通讯作者:
Moawwad E. A. El-Mikkawy
DOI:
--
发表时间:
2005
期刊:
--
影响因子:
--
作者:
P. Langlois;S. Graillat;N. Louvet
通讯作者:
P. Langlois;S. Graillat;N. Louvet
影响因子:
6.7
作者:
Yanhui Liu;Q. Liu;Z. Nie
通讯作者:
Yanhui Liu;Q. Liu;Z. Nie
DOI:
--
发表时间:
1997-06
期刊:
--
影响因子:
--
作者:
E. Morelli
通讯作者:
E. Morelli
影响因子:
6.7
作者:
Huang, Y. -Q.;Liu, Q. H.;Zhang, J. -Z.;Liu, Y. -H.
通讯作者:
Liu, Y. -H.