摘要
改进了基于等效磁流的近场—口径场变换方法 ,采用共轭梯度法迭代求解矩阵方程的最小二乘意义解 ,把系数矩阵构造成循环Toeplitz块矩阵 ,用二维快速傅里叶变换计算迭代过程中大量的矩阵与矢量乘积 ,从而形成近场—口径场变换的共轭梯度快速傅里叶变换算法 .通过数值模拟 ,并与奇异值分解法和共轭梯度法比较 ,说明该算法可以极大地提高计算效率 ,并由诊断实验验证了算法的工程实用性 .
The transformation from the near field to the aperture field based on equivalent magnetic currents is modified. The conjugate gradient method is used to find the least squares solution to the matrix equations, and many multiplications of matrices by vectors are done by using the two dimension FFT in accordance with properties of the cycle Toeplitz block matrix. Therefore, the CGFFT algorithm for transformation from the near field to the aperture field is developed. Through numerical simulation compared with the singular value decomposition method and the conjugate gradient method, it is proved that this algorithm improves the computational efficiency, and a diagnostic test shows that this algorithm is practicable in engineering.
出处
《西安电子科技大学学报》
EI
CAS
CSCD
北大核心
2001年第3期353-356,共4页
Journal of Xidian University
基金
天线与微波技术重点实验室基金资助项目!( 99JS0 7 3 1)
关键词
共轭梯度法
快速傅里叶变换
近场口径场变换
天线
near field diagnosis measurements
equivalent magnetic current
conjugate gradient method
cycle Toeplitz block matrix
FFT
