| 基于分圆法的一类素数平方周期跳频序列族 |
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| 引用本文： | 徐善顶, 曹喜望, 许广魁. 基于分圆法的一类素数平方周期跳频序列族[J]. 电子与信息学报, 2015, 37(10): 2460-2465. doi: 10.11999/JEIT150168 |
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| 作者姓名： | 徐善顶 曹喜望 许广魁 |
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| 基金项目： | 国家自然科学基金(11371011)和南京工程学院校级科研基金 (QKJA201307) |
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| 摘 要： | 最大汉明相关与平均汉明相关是评价跳频序列族性能的两个重要参数。该文首先给出了源于Fermat商的广义分圆类的性质；其次，基于此广义分圆法构造了一类 Zp上的长度为p2 ，序列族的大小为p 的跳频序列族；最后证明了该跳频序列族关于最大汉明相关界与平均汉明相关界都是最优的。
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| 关 键 词： | 跳频序列 Fermat商 分圆 最大汉明相关界 平均汉明相关界 |
| 收稿时间： | 2015-01-29 |
| 修稿时间： | 2015-05-29 |
Class of Optimal Frequency-hopping Sequences Set with the Square of Prime Length Based on Cyclotomy |
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| Xu Shan-ding, Cao Xi-wang, Xu Guang-kui. Class of Optimal Frequency-hopping Sequences Set withthe Square of Prime Length Based on Cyclotomy[J]. Journal of Electronics & Information Technology, 2015, 37(10): 2460-2465. doi: 10.11999/JEIT150168 |
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| Authors: | Xu Shan-ding Cao Xi-wang Xu Guang-kui |
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| Abstract: | The Maximum Hamming Correlation (MHC) and the Average Hamming Correlation (AHC) are two important performance measures of the frequency-hopping sequences. Firstly, some properties of generalized cyclotomy are derived from Fermat quotient. Secondly, based on the generalized cyclotomy, a class of optimal frequency-hopping sequences set with length of sequences p2 and size beingp defined on Zp is constructed. Finally, it is proved that the proposed frequency-hopping sequences set is optimal with respect to the maximum Hamming correlation bound and the average Hamming correlation bound. |
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| Keywords: | Frequency-hopping sequence Fermat quotient Cyclotomy Maximum Hamming correlation bound Average Hamming correlation bound |
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