因果周期信号通过LTI系统的零状态响应

Zero State Response of a Linear Time Invariant System Passed by a Causal Periodic Signal

本文讨论了因果正弦信号或因果周期信号通过线性时不变系统的零状态响应。用频域分析技术分析了单个因果正弦信号通过线性时不变系统的零状态响应和因果周期信号通过窄带滤波器的稳态响应;同时用s域分析技术分析了因果周期信号通过宽带滤波器的稳态响应和暂态响应。给出的计算方法有益于学生理解因果正弦信号或因果周期信号通过线性时不变系统时引起的变化。

The zero-state response of a linear time-invariant （LTI） system passed by a causal sinusoidal signal or a causal periodic signal is discussed in this paper. The frequency-domain analysis technique is applied to calculate the stationary-state response and the temporary-state response of an LTI system passed by a single causal sinusoidal signal and to analyze the stationary-state response of a narrow band filter passed by a causal periodic signal. The s-domain analysis technique is applied to compute the zero-state response of a wide-band filter passed by a causal periodic signal. The suggested analysis methods are beneficial for / students to understand the change when a causal sinusoidal signal or a causal periodic signal passes an LTI system.