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一种2-D循环卷积数据的构造方法
引用本文:叶国文,王睿.一种2-D循环卷积数据的构造方法[J].通信技术,2010,43(9):82-84.
作者姓名:叶国文  王睿
作者单位:1. 丽水学院,计算机与信息工程学院,浙江,丽水,323000
2. 上海交通大学,电子信息与电气工程学院,上海,200240
摘    要:考虑到循环卷积在二维(2-D)信号处理中的重要作用,研究了2-D循环卷积数据的构造问题。基于信号处理中2-D卷积理论,首先着重分析了循环卷积数据和线性卷积数据、以及非完全线性卷积数据的特殊关系。基于该关系,给出了一种利用2-D非完全线性卷积数据构造2-D循环卷积数据的有效方法,该方法通过将非完全线性卷积分成相应子块,继而进行合并,实现了循环卷积数据的构造。实验仿真结果显示了提出方法的有效性。

关 键 词:2-D信号处理  线性卷积  循环卷积

A Construction of 2-D Circle Convolution Data
YE Guo-wen,WANG Rui.A Construction of 2-D Circle Convolution Data[J].Communications Technology,2010,43(9):82-84.
Authors:YE Guo-wen  WANG Rui
Institution:② (①School of Computer and Information Engineering,Lishui College,Lishui Zhejiang 323000,China;②Department of Electronic Engineering,Shanghai Jiaotong University,Shanghai,200240,China)
Abstract:In considering the important role of circle convolution in 2-D signal processing,the effective method for constructing 2-D circle convolution data is studied.Based on 2-D convolution fundamental theory,the relationship between 2-D circle convolution data,the 2-D linear convolution data and un-complete linear convolution data is analyzed,and in the light of this special relationship,a method for constructing 2-D circle convolution data by the un-complete linear convolution data is proposed.Through splitting the un-complete linear convolution data into some sub-blocks,the 2-D circle convolution data is constructed by properly combining those blocks.Simulation results show that the proposed method is effective and feasible.
Keywords:2-D signal processing  linear convolution  circle convolution
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