Numerical calculation for two integral transforms in 2.5-D transient electromagnetic forward is a difficult and key task, namely, the inverse Fourier transform and the inverse Laplace transform. Some effective algorit...Numerical calculation for two integral transforms in 2.5-D transient electromagnetic forward is a difficult and key task, namely, the inverse Fourier transform and the inverse Laplace transform. Some effective algorithms for them were described. Based on the known algorithms in DC resistivity on wave-number distribution and selection, we proposed a principle on how to choose the least wave-number concerning the central-loop transient electromagnetic method. First, observe the behavior of transformation function curve with regard to wave-number in Fourier domain. In the light of its asymptote, ascertain the coverage scope of wave-number. Compared with analytic solution, the least wave-number in Fourier domain can be derived. Furthermore, the Laplace numerical inversion algorithm which needs only a few Laplace variables in pure real domain was also introduced here. The procedure was applied to forward modeling on transient electromagnetic field of a vertical magnetic dipole over uniform half-space to demonstrate them effectiveness and general applicability.展开更多
在毫米波连续波阵列雷达系统中,根据近场各动目标多普勒频率的不同,提出了一种近场动目标多普勒频率、距离及方位三维参数估计算法。首先采用全相位快速傅里叶变换(all phase fast Fourier transform,apFFT)方法估计回波信号频谱,并使...在毫米波连续波阵列雷达系统中,根据近场各动目标多普勒频率的不同,提出了一种近场动目标多普勒频率、距离及方位三维参数估计算法。首先采用全相位快速傅里叶变换(all phase fast Fourier transform,apFFT)方法估计回波信号频谱,并使用相位差频谱校正法对目标多普勒频率进行校正。全相位FFT方法所得相位谱为信号的初始相位,各通道之间对应信号的相位关系包含了目标的位置信息,采用二维多重信号分类(twodimensional multiple signal classification,2-D MUSIC)方法就可从各目标对应多普勒频率的复幅度中估计出目标的距离及方位参数。计算机仿真结果证明了该算法的有效性。展开更多
基金Project(40344022) supported by the National Natural Science Foundation of China
文摘Numerical calculation for two integral transforms in 2.5-D transient electromagnetic forward is a difficult and key task, namely, the inverse Fourier transform and the inverse Laplace transform. Some effective algorithms for them were described. Based on the known algorithms in DC resistivity on wave-number distribution and selection, we proposed a principle on how to choose the least wave-number concerning the central-loop transient electromagnetic method. First, observe the behavior of transformation function curve with regard to wave-number in Fourier domain. In the light of its asymptote, ascertain the coverage scope of wave-number. Compared with analytic solution, the least wave-number in Fourier domain can be derived. Furthermore, the Laplace numerical inversion algorithm which needs only a few Laplace variables in pure real domain was also introduced here. The procedure was applied to forward modeling on transient electromagnetic field of a vertical magnetic dipole over uniform half-space to demonstrate them effectiveness and general applicability.
文摘在毫米波连续波阵列雷达系统中,根据近场各动目标多普勒频率的不同,提出了一种近场动目标多普勒频率、距离及方位三维参数估计算法。首先采用全相位快速傅里叶变换(all phase fast Fourier transform,apFFT)方法估计回波信号频谱,并使用相位差频谱校正法对目标多普勒频率进行校正。全相位FFT方法所得相位谱为信号的初始相位,各通道之间对应信号的相位关系包含了目标的位置信息,采用二维多重信号分类(twodimensional multiple signal classification,2-D MUSIC)方法就可从各目标对应多普勒频率的复幅度中估计出目标的距离及方位参数。计算机仿真结果证明了该算法的有效性。
