卷积积分的框图和快速定限表法

卷积积分在很多学科领域都具有广泛的应用,而卷积的计算有几步略显繁琐的定限工作。求解卷积的关键及难点就是积分限的确定,本文利用框图法对卷积进行分析推导得出了求解卷积积分的快速定限表法,能简单、直观、准确地得出卷积具体表达式,有效克服了积分限的重复和遗漏问题,省去了画图过程,广泛应用于卷积积分和卷积和的计算。

The Schematic Diagram and Table Determining Ranges of Integration for Convolution Computation

Convolution integral plays an important role in many theoretical and technical areas. But it is tedious to determine the ranges of integration in convolution computation. The key and difficulty of convolution computation is how to determine the ranges of integration. In this paper, convolution computation is analyzed by schematic diagram method, and then the table determining ranges of integration to compute convolution is presented. By the table the specific expression of a convolution can be computed simply, intuitively and accurately. This table can avoid the repetition and pretermission of integrating ranges, omit the process of drawing, and have extensive use in the computation of convolution integral and convolution sum.