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M序列的对称性变换及对称群

The Symmetry Transform of M Sequences and Its Symmetry Group
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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。 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.
出处 《杭州电子科技大学学报(自然科学版)》 2009年第4期9-13,共5页 Journal of Hangzhou Dianzi University:Natural Sciences
基金 浙江省自然科学基金资助项目(KYZ040306018)
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 pseudorandom sequence full length shift register sequence symmetry transform symmetry group
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参考文献3

  • 1Goresky M,,Klapper A.Pseudonoise sequences based on algebraic feedback shift registers[].IEEE Transactions on InformationTheory.2006
  • 2Etzion,T.,Tempel,A.On the Distribution of de Bruijn Sequences of Given Complexity[].IEEE Trans-Inform Theory IT.1984
  • 3Fredricksen H.A survey of full length nonlinear shift-register cycle algorithms[].SIAM Review.1982

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