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M序列的对称性变换及对称群
引用本文:刘义春,尹克震. M序列的对称性变换及对称群[J]. 杭州电子科技大学学报, 2009, 29(4)
作者姓名:刘义春  尹克震
作者单位:杭州电子科技大学通信工程学院,浙江,杭州,310018
基金项目:浙江省自然科学基金资助项目 
摘    要:
n级M序列是由n级非线性回馈移位寄存器产生的周期为2n的二元序列,也称为de Bruijn序列。该文将讨论M序列的对称性变换,提出了一类新的对称性变换——"与/或"逻辑对称性变换,并研究了基于对称性变换的对称群。

关 键 词:伪随机序列  全长移位寄存器序列  对称性变换  对称群

The Symmetry Transform of M Sequences and Its Symmetry Group
LIU Yi-chun,YIN Ke-zhen. The Symmetry Transform of M Sequences and Its Symmetry Group[J]. Journal of Hangzhou Dianzi University, 2009, 29(4)
Authors:LIU Yi-chun  YIN Ke-zhen
Affiliation:LIU Yi-chun; YIN Ke-zhen(School of Communication Engineering; Hangzhou Dianzi University; Hangzhou Zhejiang 310018; China);
Abstract:
The M sequences of order-n are the period 2n binary sequences produced by a n-stage nonlinear feedback shift register,also referred to as de Bruijn sequences.In this paper,we deal with the symmetry transform of M sequences,a new symmetry transform for M sequences,"and / or" logical symmetry transform,is presented.The symmetry groups based on symmetry transform are studied.
Keywords:pseudorandom sequence  full length shift register sequence  symmetry transform  symmetry group
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