δ函数是一种广义函数。与通常意义下的函数相比,其具有特殊的性质。由于对其进行详细地讲解超出了工科数学的范围,因此,许多《信号与系统》教材只简单地给出其定义与性质,不利于学生深入地理解与学习。本文将对δ函数进行简单、不严密地简要分析,以加深学生对其理解程度,为今后的应用打下基础。 The delta function is a generalized function. Compared with the function in the usual sense, it has special properties. Because it is beyond the scope of engineering mathematics to explain it in detail, many of the “Signals and Systems” teaching materials simply give its definition and nature, which is not conducive to students’ in-depth understanding and learning. In this paper, a simple, uncomplicated and simple analysis of the δ function will be carried out to deepen the understanding of students and lay the foundation for future application.