| 卷积的微分与积分递推公式的分析及推广 |
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| 引用本文： | 徐天成,谷亚林,虞粉英.卷积的微分与积分递推公式的分析及推广[J].南京理工大学学报(自然科学版),2005,29(5):613-615. |
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| 作者姓名： | 徐天成 谷亚林 虞粉英 |
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| 作者单位： | 南京理工大学,电子工程与光电技术学院,江苏,南京,210094 |
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| 摘 要： | 通过对信号与系统教材中卷积的微分与积分递推公式的分析,指出该公式的应用条件,推导出适合于任何函数求卷积的推广公式,并用两种方法证明了该推广公式,还给出了实例验证.该推广公式对目前国内外信号与系统教材中有关卷积的微分与积分逆推公式的分析及应用具有重要意义,尤其适合于计算含有直流分量的函数的卷积.
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| 关 键 词： | 卷积 微分 积分 推广公式 |
| 文章编号： | 1005-9830(2005)05-0613-03 |
| 收稿时间： | 2004-09-20 |
| 修稿时间： | 2005-06-21 |
Analysis and Generalization of Convolution Differential and Integral Recursion Formulas |
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| XU Tian-cheng,GU Ya-lin,YU Fen-ying.Analysis and Generalization of Convolution Differential and Integral Recursion Formulas[J].Journal of Nanjing University of Science and Technology(Nature Science),2005,29(5):613-615. |
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| Authors: | XU Tian-cheng GU Ya-lin YU Fen-ying |
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| Institution: | School of Electronic Engineering and Optoelectronic Technology, NUST, Nanjing 210094, China |
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| Abstract: | With the analysis on the convolution differential and integral recursion formulas in textbook signals and systems, the constrained conditions were pointed out, the generalized formula was deduced and proved through two methods, and a living example was given to prove it. The generalized formula has great importance in analysis and application of the convolution differential and integral recursion formulas in most signals and systems textbooks published in China and abroad. It is especially useful in computing the convolution of signals that include direct component. |
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| Keywords: | convolution differential integral generalized formula |
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