| 二维全混洗变换的理论分析 |
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| 引用本文： | 杨俊波,苏显渝.二维全混洗变换的理论分析[J].四川激光,2007,28(3):54-56. |
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| 作者姓名： | 杨俊波 苏显渝 |
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| 作者单位： | 四川大学电子信息学院光电科学技术系，四川大学电子信息学院光电科学技术系 四川成都 610064，四川成都 610064 |
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| 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 shuffle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,提出了从一维到二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.
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| 关 键 词： | 光网络 全混洗 全交叉网 蝶型网 映射规则 全混洗 变换规则 理论 分析表 permutation shuffle analysis 集成度 器件 带宽 容量 空间自由度 利用 实现步骤 映射规则 关系 一维 操作规则 转换 研究 |
| 文章编号： | 0253-2743（2007）03-0054-02 |
| 修稿时间： | 2007-02-05 |
The theoretical analysis of 2D-perfect shuffle permutation |
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| YANG Jun-bo,SU Xian-yu.The theoretical analysis of 2D-perfect shuffle permutation[J].Laser Journal,2007,28(3):54-56. |
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| Authors: | YANG Jun-bo SU Xian-yu |
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| Affiliation: | Department of Optoelectronics, Sichuan University, Chengdu 610064, China |
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| Abstract: | 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 permutation,the 2D-fold shuffle permutation and the 2D-sep- arable shuffle permutation have been discussed in detail,furthermore,the approach of implementation respectively also has been proposed.In addition,the rela- tionship of 1D Perfect Shuffle permutation and 2D perfect Shuffle permutation has been analyzed as well,moreover,present the mapping rule of 1D 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. |
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| Keywords: | optical network perfect-shuffle crossover network butterfly network mapping rule |
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