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冲激(偶)函数类性质的教学策略探讨
引用本文:钱琳琳,任俊杰.冲激(偶)函数类性质的教学策略探讨[J].北京联合大学学报(自然科学版),2004,18(3):80-82.
作者姓名:钱琳琳  任俊杰
作者单位:北京联合大学,自动化学院,北京,100101
摘    要:冲激(偶)函数类性质历来是<信号与系统>教学中的难点,也是学生不易理解的内容,为此,教学策略采用"三步走"的方法:首先与普通函数定义方法相比较引出广义函数定义和"两广义函数相等"的概念,继而用高等数学的微积分知识证明冲激(偶)函数类的"抽样"性质,最后以前两者为基础证明冲激偶函数的"筛选"性质.

关 键 词:冲激函数  冲激偶函数  广义函数  函数类  性质  的教学  策略探讨  Impulse  Characteristics  Strategy  Teaching  Research  Couple  筛选  冲激偶函数  抽样  知识证明  微积分  高等数学  广义函数  函数定义  比较  定义方法
文章编号:1005-0310(2004)03-0080-03
修稿时间:2004年4月14日

The Research on Teaching Strategy About the Characteristics of Impulse (Couple) Function
QIAN Lin-lin,REN Jun-jie.The Research on Teaching Strategy About the Characteristics of Impulse (Couple) Function[J].Journal of Beijing Union University,2004,18(3):80-82.
Authors:QIAN Lin-lin  REN Jun-jie
Abstract:The characteristics of impulse function and impulse couple function are always the difficulties in the teaching of signals and systems. For this reasons, the teaching strategy is composed of three steps. First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced. Second, the "sampling action" of impulse function is proved with the knowledge of calculus. Finally, the "sifting performance" of impulse function is confirmed based on the two formers.
Keywords:impulse function  impulse couple function  generalized function
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