“数字信号处理”中分段滤波的教学探讨  

Teaching Discussion of the Block Filter in Digital Signal Processing

作　　者：王倩雯 毛卫宁[1] WANG Qian-wen;MAO Wei-ning(School of Information Science and Engineering, Southeast University , Nanjing 210096,China)

机构地区：[1]东南大学信息科学与工程学院,江苏南京210096

出　　处：《电气电子教学学报》2021年第4期78-80,共3页Journal of Electrical and Electronic Education

基　　金：国家自然科学基金(项目61871124)。

摘　　要：分段滤波是“数字信号处理”课程重要的知识点和难点之一,它有两种实现方法:重叠相加法和重叠保留法。针对现有教材和课堂教学中从循环卷积与线性卷积关系出发讨论重叠相加法和重叠保留法的局限性,本文从滤波器的瞬态响应和稳态响应出发,阐述重叠相加法和重叠保留法如何保证各段滤波输出的连续性,并讨论了重叠相加法和重叠保留法各段线性卷积与圆周卷积的关系,以及各段滤波输入/输出数据的关系,以帮助学生深入理解分段滤波的本质,达到学以致用。Block filter is one of the difficulties in the course of Digital Signal Processing.It has two realization the overlap-add method and the overlap-save method.Considering the deficiency of discussing the overlap-add and the overlap-save method from the relationship between circular convolution and linear convolution,this paper presents them from stable response and transient response of a filter,and discusses the relationship between circular convolution and linear convolution for each block,the relationship between input and output for each block at block filter.That is helpful to students having insight into block filter and applying it well.

关 键 词：线性卷积 重叠相加法 重叠保留法 

分 类 号：G64[文化科学—高等教育学]