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引言本文不是讨论δ函数的理论问题,因为自1950～1951年西瓦兹提出分布函数理论后,δ函数的理论问题巳完全解决。本文讨论的是如何在“信号与系统”课程教学中处理δ函数的技术性问题,因为在“信号与系统”教材中有关δ函数的内容较为简陋。不直接涉及广义函数理论而又能严格,通俗,实用地叙述δ函数的有关内容,这是本文的目的。所采用的方法是运用δ函数严格的定义式和引入“广义相等”的概念。
INTRODUCTION This paper does not discuss the theoretical problem of the delta function, since the theoretical problem of the delta function has been completely solved since 1950 when Civadz introduced the theory of distribution function. This article discusses how to deal with the technical issues of the delta function in the Teaching of Signals and Systems, because the content of the delta function in the Signal and System textbook is rather crude. It is the purpose of this paper not to deal directly with the theory of generalized functions but to describe strictly the rigorous, popular and practical aspects of δ functions. The approach used is to apply the strict definition of the delta function and to introduce the concept of “general equality.”