“数字信号处理”课程中的卷积运算教学研究

卷积的定义及其计算是数字信号处理课程中的重点也是难点,从三个方面阐述了卷积的相关知识。首先介绍了数字信号处理课程中三种卷积的定义及其相互间的联系和区别;然后分析可卷积的图解法基本步骤,并进一步引入了卷积的快速算法——竖式乘法及起点判断方法;最后总结了两信号在时域的3种卷积与三种变换域的乘积对应关系。卷积相关知识的归纳,尤其是卷积的快速算法对于学生的卷积计算有很好的帮助作用。

Research on convolution operation teaching of ＂digital signal processing＂course

The convolution operation is an emphasis and difficulty in discrete signal processing course.In this paper,convolution operation is discussed from three aspects.Firstly,the definition of three kinds of convolution and the relation beween them are introduced.Secondly,the graphic method of the convolution is analysized and then a fast method—upright multiplication and its starting point judgment method are proposed.Finally,the corresponding relationship between time domain convolution and tranform domain multiplication of two signals is summarized.This paper may deepen the students＇ understanding on convolution conception study.