一种2-D循环卷积数据的构造方法

A Construction of 2-D Circle Convolution Data

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。

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.