全混洗互连网络中RPS、LPS和IPS的矩阵处理

The matrix method of RPS、LPS and IPS in the perfect shuffle interconnect networks

讨论全混洗光互连网络中左混洗(LPS)、右混洗(RPS)的数学定义与矩阵处理,针对全混洗中关于左逆混洗和右逆混洗现有文献讨论的不足,提出左逆混洗和右逆混洗的数学定义与矩阵描述,讨论各种全混洗之间相互转化和变换关系,完善了全混洗的理论分析,为模拟或验证全混洗网络实验结果提供了理论依据.

The mathematical definition and matrices of the left perfect shuffle （LPS） and Right perfect shuffle （RPS） in the perfect shuffle （PS） optical interconnected network are presented. A modern definition and matrix deseription of the left inverse perfect shuffle （LIPS） and the right inverse perfect shuffle （RIPS） are provided. The conversions and transformations of each PS are discussed, as part of a complete theoretical analysis of the PS. This provide a theoretical foundation for simulation, inspection, and experimental research using PS networks.