摘要
基于全混洗变换在光信息处理和全光排序中的应用,讨论了全混洗变换的数学定义和变换规则;重点研究了二维全混洗变换的特点,对2D-fold shuflle变换和2D-separable shuffle变换进行了详细的讨论,得到其相互间转换的操作规则;在此基础上分析了一维混洗变换与二维混洗变换的关系,提出了从一维到三维的映射规则和实现步骤,理论分析表明二维全混洗变换可以有效地利用空间自由度,提高信息处理的容量,带宽和器件的集成度。
Perfect shuffle transformation plays a vital role in optical information processing and all optical permutation. The mathematic principles of perfect shuffle transformation have been defined firstly. Based on the characteristics of 2D Perfect Shuffle permutationg the 2D - fold shuffle permutation and the 2D - separable shuffle permutation have been discussed in detail, furthermore, the approach of implementation respectively also has been proposed. In additiong the relationship of ID Perfect Shuffle permutation and 2D perfect Shuffle permutation has been analyzed as well, moreover, present the mapping rule of ID perfect Shuffle permutation and 2D perfect Shuffle permutation. The theoretical analysis shows that 2D perfect Shuffle permutation can improve space - bandwidth product and the degree of integration during the progress of signal processing.
出处
《激光杂志》
CAS
CSCD
北大核心
2007年第3期54-56,共3页
Laser Journal
关键词
光网络
全混洗
全交叉网
蝶型网
映射规则
optical network
perfect- shuffle
crossover network
butterfly network
nmpping ride
