浅谈“信号与系统”中公式定理的证明

A Brief Discussion on the Proof of the Formula Theorem in the Course of Signals and Systems

本文针对“信号与系统”课程中公式、定理的数学证明比较抽象的问题,提出利用课程本身的分析思路去证明;或者先基于特定情况进行推理说明,再将结论一般化;以及利用工程实际中的信号一般是实信号的特点,可以更加简单直接地证明定理。以上方法的运用使得定理的物理含义表述更加直观,更容易被学生理解与接受。

Aiming at the abstract problem of the mathematical proofs of formulas and theorems in the course of Signal and System, it is proposed to use the analysis of the course itself to prove;or to make a description based on specific circumstances, and then generalize the conclusion;The signal is generally a characteristic of the real signal, which can prove the theorem more simply and directly. Through the application of the above methods, the physical meaning of the theorem is more intuitive and easier to be understood and accepted by students.