离散卷积的算法分析及MATLAB实现

Analysis of Discrete Convolution Algorithm and Realization Based on MATLAB

离散卷积是信号处理的基本运算,快速卷积和分段卷积是计算离散卷积的重要算法.文章以离散线性卷积的概念为基础,介绍了计算卷积的常用方法和运算流程,列举了MATLAB实现的程序.这些程序能动态演示卷积运算的全部过程,既可帮助理解卷积运算的原理流程,也可作为教学讲解的演示工具.

Discrete convolution algorithm is fundamental in signal processing, fast convolution and partition convolution are important ways to calculate discrete convolution. This paper introduces the common methods of convolution and their calculation process based on the concept of discrete linear convolution and lists the programs based on MATLAB. These programs can show dynamically the whole process of calculating discrete convolution. It is helpful for understanding the process of convolution, and is also a good teaching tool.