引用本文: | 李超.m 序列完备递归采样值的存在条件[J].国防科技大学学报,1992,14(1):19-22.[点击复制] |
Li Chao.Existence Condition of the Complete Recurrence Sampling Values of m-Sequences[J].Journal of National University of Defense Technology,1992,14(1):19-22[点击复制] |
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m 序列完备递归采样值的存在条件 |
李超 |
(系统工程与应用数学系)
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摘要: |
本文用群论方法讨论了n 级 m 序列完备递归采样值的存在条件,证明了对任意n级 m 序列,其完备递归采样值存在的充要条件是商群G=Zp*/H(其中p=2n - 1,Zp*={s|(s, p)=l}, H = {1,2,22,…, 2n-1)为循环群。在完备递归采样值存在的条件下,求出了完备递归采样值的个数为n,φ(φ(2n-1/n)。最后给出了递归采样值的一个重要性质。 |
关键词: 采样,m 序列,循环群 |
DOI: |
投稿日期:1991-03-27 |
基金项目: |
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Existence Condition of the Complete Recurrence Sampling Values of m-Sequences |
Li Chao |
(Department of System Engineering and App1ied Mathematics)
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Abstract: |
We discuss the existence condition for the complete recurrence sampling value of m-sequences. It is proved that for m-sequences of order n,the sufficient and necessary conditions that the complete recurrence sampling value exists are that the quotient group G=Zp*/H(p=2n - 1,Zp*={s|(s, p)= l}, H =1,2,22,…,2n-1)is cylcic group,and that the number of the complete recurrence sampling values is n?φ(φ(2n-1)/n). In the end,we give some important characteristics of the complete recurrence sampling of m-se-quences |
Keywords: sampling,m-sequeces,cyclic group |
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