卷积积分的基本计算方法

确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。利用卷积的定义可以解决比较简单的函数卷积问题,图解法则适用于求分段函数的卷积。如果参与卷积运算的函数含冲激函数或它的导数和积分,那么用算子法并结合卷积的基本特性计算则较方便。

Basic Computational Methods of Convolution Integral

There are two difficult points in convolution integral: how to determine the limit of the integral, and the integrands on the convolution integral. Using the definition, we can solve some simple qusetions of the convolution. Graphic solution methods are applicable to the convolution of the segmental functions. When there are impulse functions or its derivative and its integral in the convolution, the computation will be convenient if we use the operator methods and combine the basic properties of the convolution.