| 用矩阵方程法求解循环卷积的改进算法 |
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| 引用本文： | 李亚峻,李红,何静,张春霞.用矩阵方程法求解循环卷积的改进算法[J].大学数学,2014(1):28-32. |
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| 作者姓名： | 李亚峻 李红 何静 张春霞 |
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| 作者单位： | [1]天津科技大学电子信息与自动化学院,天津300222 [2]吉林建筑工程学院电气与电子信息工程学院,长春130022 |
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| 基金项目： | 天津市教育科学“十二五”规划课题《数字信号处理》课程与教学改革研究（HEYP6021）;天津科技大学实验室开放基金项目（1202A301） |
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| 摘 要： | 从循环卷积的定义出发,描述了用以m为变量的方法求解循环卷积的步骤.特别详述了其中的矩阵方程法,指出了该方法的不足——含有冗余项,提出了矩阵方程法的改进算法,消除了冗余项,简化了矩阵方程,给出了矩阵方程内部各列的构成规律.实例表明该方法简便、有效.
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| 关 键 词： | 循环卷积 矩阵方程 冗余项 |
Improved Algorithm of the Matrix Equation Method for Solving Circular Convolution |
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| LI Ya-jun,LI Hong,HE Jing,ZHANG Chun-xia.Improved Algorithm of the Matrix Equation Method for Solving Circular Convolution[J].College Mathematics,2014(1):28-32. |
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| Authors: | LI Ya-jun LI Hong HE Jing ZHANG Chun-xia |
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| Institution: | 1 (1. College of Electronic Information and Automation,Tianjin University of Science and Technology,Tianjin 300222, China; 2. Institute of Electrical and Electronics Engineering,Jilin Institute of Architecture and Civil Engineering,Changchun 130022 ,China) |
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| Abstract: | Starting from the definition of the circular convolution, describe the steps for solving circular convolution with m variables. Particularly detail matrix equation method, and point out the shortcoming of the method, i.e. containing redundant terms. In this paper, the improved algorithm of the matrix equation method eliminates redundant terms, so that the matrix equation can be simplified. The law of each column constituting within the matrix equation is given. The examples show that the method is simple and effective. |
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| Keywords: | circular convolution~ matrix equation~ redundant items |
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