根据信号通过线性系统可产生新信号的理论,对非平稳确定性信号与非平稳随机信号的统一分类方法进行了深入研究,分别给出格林函数描述的线性时变系统法、调制函数作用于边界稳定线性系统的自激振荡正弦波法、随机输入线性时不变系统与边界稳定的与不稳定的线性系统组合法。这3种分类法便于对非平稳确定性信号与非平稳随机信号进行统一分类研究,并具有比较全面与系统性好的优点。
Based on the theory that new signals can be generated from a linear system with an input signal, the unified clasiffication methods for both determinated nonstationary signals and random nonstationary signals are deeply studied, including the linear time-varying system method described by the Green function; the self-exitational oscillation sinusoidal method based on the boundary stable linear system excited by a modulation function; the linear system combination method for the linear time invariant system and the boundary stable and unstable systems with random input signals. With the advantages of universality and systematism, such classification method is convenient for the unified study to both determinate nonstationary signals and random nonstationary signals.