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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。
Considering the important role of circular convolution in two-dimensional (2-D) signal processing, the construction of 2-D cyclic convolution data is studied. Based on the 2-D convolution theory in signal processing, the special relationship between circular convolution data and linear convolution data, as well as the incompletely linear convolution data, is firstly analyzed. Based on this relationship, an efficient method of constructing 2-D cyclic convolution data using 2-D incomplete linear convolution data is proposed. The method integrates non-complete linear convolution into corresponding sub-blocks and then combines them to achieve The construction of circular convolution data. Experimental simulation results show the effectiveness of the proposed method.