| 不同周期的P元m序列之间的互相关性质 |
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| 引用本文： | 孙玉花,李晖,闫统江. 不同周期的P元m序列之间的互相关性质[J]. 西安电子科技大学学报(自然科学版), 2012, 39(5): 30-34,41. DOI: 10.3969/j.issn.1001-2400.2012.05.006 |
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| 作者姓名： | 孙玉花 李晖 闫统江 |
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| 作者单位： | 西安电子科技大学计算机网络与信息安全教育部重点实验室;中国科学院软件研究所信息安全重点实验室;中国石油大学(华东)理学院 |
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| 基金项目： | 国家自然科学基金资助项目(61170319);山东省自然科学基金资助项目(ZR2010FM017);博士后科学基金资助项目(119103S148);中央高校科研业务费资助项目(K50510010012,10CX04038A) |
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| 摘 要： | 基于Ness和Helleseth等人对二元不同周期的m序列之间的互相关函数的研究,研究了不同周期的p元m序列之间的互相关性质,给出了周期为p2 m-1和pm-1的m序列之间的互相关函数所满足的方程,同时证明了当p等于3时,互相关函数至少是3个值的。
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| 关 键 词： | 自相关 互相关 m序列 Kasami序列 |
| 收稿时间： | 2011-05-27 |
Properties of cross-correlation between two P-ary m-sequences of different periods |
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| SUN Yuhua,LI Hui,YAN Tongjiang. Properties of cross-correlation between two P-ary m-sequences of different periods[J]. Journal of Xidian University, 2012, 39(5): 30-34,41. DOI: 10.3969/j.issn.1001-2400.2012.05.006 |
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| Authors: | SUN Yuhua LI Hui YAN Tongjiang |
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| Affiliation: | (1. Key Lab. of Computer Networks and Information Security of Ministry of Education, Xidian Univ., Xi'an 710071， China;2. State Key Lab of Information Security, Institute of Software, Chinese Academy of Sciences, Beijing 100049， China;3. China School of Sciences, China University of Petroleum, Qingdao 266555， China) |
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| Abstract: | Recently,Ness and Helleseth initiated studies on the cross-correlation between two binary m-sequences of different periods.Based on their results,we analyse the properties of the cross-correlation between two p-ary m-sequences of different periods,and give the equations for the cross-correlation values to be met.Finally,for p=3,it is proved that the cross-correlation values takes on at least three different values. |
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| Keywords: | autocorrelation cross-correlation m-sequence Kasami sequence |
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