以分配函数的概念认识冲激信号δ(t)及复合函数δ[f(t)]  

Understanding of Impulse Signal δ(t) and Its Compound Functionδ According to Concept of Distribution Function

作　　者：倪育德[1] 庞勇[1] 

机构地区：[1]中国民用航空学院空中交通管理学院

出　　处：《中国民航学院学报》2006年第1期62-64,共3页Journal of Civil Aviation University of China

摘　　要：指出了狄拉克对单位冲激信号δ(t)定义的不严格性,从分配函数的角度给出了δ(t)的严格定义,并证明了δ(t)的尺度特性及其复合函数δ[f(t)]的性质,列举了3个错误应用δ[f(t)]性质的例子,指出了错误的实质,并给出了正确的解答过程。The definition of the unit impulse signal δ（t） is not rigorously defined by Dirac. Based on the concept of distribution function,the paper presents a strict definition of δ（t） signal,and demonstrates the scale characteristic of this kind of signal and the property of its compound function δ[f（t）]. Three mistaken examples created by misunderstanding of the δ[f（t）] property are enumerated,and at the same time the nature of such mistakes and the correct solution are illuminated.

关 键 词：信号 单位冲激信号 单位冲激信号的复合函数 分配函数 

分 类 号：TN911.72[电子电信—通信与信息系统]