频谱分析中的微分法与微分方程法

Differential Method and Differential Equation Method Applied to Spectral Analysis

本文讨论了应用于傅里叶变换的微分性质的隐含假设,并叙述了信号不满足隐含假设时的修正方法。本文还给出了作为信号生成系统的微分方程描述,它使信号谱成为其生成系统的频率传递函数,指出了微分方程法的隐含假设。最后还给出了信号违反此假设时进行修正的方法。

The implicit hypothesis of differential property applied to spectral analysis is discussed in this paper. The modification method is given, when this hypothesis is violated by the analyzed signal. Then, the differential equation description of generation system of the analyzed signal is derived. By means of it, signal spectrum is turned to the frequency transfer function of its generation system. The implicit hypothesis of the differential equation method is indicated. The modification method, when the hypothesis is violated by the analyzed signal, is also given.