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A novel method for calculating the convolution sum of two finite length sequences

机译:计算两个有限长度序列卷积和的新方法

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摘要

Some students find convolution difficult to understand and compute when first learning. This paper presents a direct method of computing the discrete linear convolution of two finite length sequences. The approach is easy to learn because of the similarities to computing the multiplication of two numbers by a pencil and paper calculation. This method allows students to quickly verify their answers obtained by graphical convolution or from a computer program and easily extends to deconvolution and circular convolution as shown in this paper. When this convolution method was taught in a discrete signals and systems course, the students' understanding of convolution significantly improved.
机译:一些学生发现初学时难以理解和计算卷积。本文提出了一种直接的方法来计算两个有限长度序列的离散线性卷积。该方法易于学习,因为它与通过铅笔和纸张计算来计算两个数字的乘法相似。这种方法使学生可以快速验证他们通过图形卷积或从计算机程序获得的答案,并且可以轻松地扩展到如本文所示的解卷积和循环卷积。当在离散信号和系统课程中教授这种卷积方法时,学生对卷积的理解将大大提高。

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