因果微分定理及其应用

Causal Differential Theorem with Its Applications

本文给出了因果微分定理的时域、频域s、域和状态方程表达式,重点讨论了因果微分定理在LTI系统的时域分析中的应用,证明了因果微分定理在系统的时域、频域s、域和状态方程分析中的重要地位和作用。它们不但使得系统分析简捷清晰,而且物理概念清楚。各章之间的内在联系交待清楚,十分有利于学生的理解和消化。通过历年的"信号与系统"的教学实践证明了这一点。

The time-domain, frequency-domain, s-domain and state equation expressions of causal differential theorem are given in this paper. It is emphasized to discuss the application of causal differential theorem to the time-domain analysis of an LTI system. It is shown that causal differential theorem plays a kernel role in the time-domain, frequency-domain, s-domain and state equation analysis of an LTI system. By means of them, the system analysis is very direct, fast and clear. The physical concept is also clearly presented. The connections among the all chapters are easy shown. It is helpful for students to understand the studied knowledge that is proved by our teaching experiences for many years.