由频谱的相位函数重建原始信号的新方法

本文给出了由频谱的相位函数重建原始信号的新方法。它能由相位函数得到各原始信号分量的振幅和延时值,以及频谱的模函数。新方法的叠代运算收敛快,因而其运算次数较以往的方法大大减少。本文还采用复指数展开算法,推广上述算法用于延时不是取样周期的严格整数倍的情况,进一步获得各原始信号分量的延时值的精确估计。最后,文中给出了计算机模拟实验的结果。

A NEW METHOD OF THE ORIGINAL SIGNAL RECONSTRUCTION FROM PHASE FUNCTION OF THE SPECTRUM

A new method of the original signal reconstruction from phase function of the spectrum is presented in this paper. The amplitude and time-delay of the components of the original signal,and the magnitude of the spectrum can be obtained from the pha.se function. The iterative operations of the new method are converged fastly,so that the number of operations is reduced greatly comparing with the previous methods. By using the complex exponential expansion method,the above technique is expanded to the case in which the time-delay does not be integer number times of sample duration exactly,and the accurate estimations of the time-delay of original signal components are further obtained. At last,the experimental results of computer simulation are giving in this paper.