最佳三元序列偶理论研究

毛飞; 吴宁; 周正

doi:10.3724/SP.J.1146.2007.00595

最佳三元序列偶理论研究

doi: 10.3724/SP.J.1146.2007.00595

毛飞^① 吴宁,,
吴宁,
周正

基金项目:

国家自然科学基金 (60432040，60572020), 北京市自然科学基金 (4052021), 教育部博士点专项基金 (20060013008)和韩国仁荷大学合作项目(UWB-ITRC)资助课题

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出版历程
- 收稿日期: 2007-04-02
- 修回日期: 2008-01-21
- 刊出日期: 2008-11-19

Research on Perfect Ternary Sequence Pair

Mao Fei^{① 吴宁
,},
Wu Ning,
Zhou Zheng

摘要

摘要: 本文提出了一种新的具有良好循环自相关特性的离散信号，即最佳三元序列偶。给出了最佳三元序列偶的变换性质，研究了在伪随机二元序列、最佳二元序列偶以及最佳屏蔽二元序列偶基础上，通过插零法构造最佳三元序列偶的方法，从而可以利用现有的最佳信号生成最佳三元序列偶，大大拓宽最佳信号的存在空间，进一步丰富和完善了序列偶最佳相关信号理论。
- 最佳信号 /
- 序列偶 /
- 相关
Abstract: A new periodic correlation signal is presented, which is the perfect ternary sequence pair. The definitions of the perfect ternary sequence pair and its transformation properties are presented. A method for constructing the perfect ternary sequence pairs taking advantage of pseudorandom binary sequence, perfect binary sequence pair and the perfect punctured binary sequence pair is presented by us. As a result, it indicates that the method is handy and flexible. With this method more perfect signals could be obtained. These signals enrich the theory of sequence pair perfect discrete correlated signals.
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参考文献(1)

[1] 杨义先. 最佳信号理论与设计[M]. 北京: 人民邮电出版社,1996: 35-39. [2] Wolfmann J. Almost perfect binary sequences[J].IEEETrans. on Inform.Theory.1992, 38(4):1412-1418 [3] Anon. Odd-pefect, almost binary correlation sequences[J].IEEE Trans. on Aero. And Elec. Syst.1995, 31(1):495-498 [4] Sarwate D V, and Pursley M B. Crosscorrelation propertiesof pseudorandom and related sequences[J].Proc. IEEE.1980,68(5):593-619 [5] Hoholdt T, et al.. Ternary sequences with perfect periodicauto-correlation[J]. IEEE Trans. on Inform. Theory, 1983, IT-29(4): 597-600. [6] 赵晓群. 阵列偶和加权二元序列理论的研究[D]. [博士论文],哈尔滨工业大学, 1998: 57-73. [7] Jiang Ting, Zhao Xiao-Qun, and Hou Lan-Tian. Perfectpunctured binary sequence pair[J]. Journal of Electronics(China), 2003, 20(4): 285-288. [8] 许成谦, 靳慧龙. 几乎最佳相关二元序列偶[J]. 遥测遥控,2003, 24(5): 16-20. [9] 毛飞, 蒋挺, 赵成林, 周正. 伪随机二进序列偶研究[J]. 通信学报, 2005, 26(8): 94-98. [10] Mao Fei, Jiang Ting, Zhao Chenglin, and Zhou Zheng.Research on perfect dyadic binary sequence pair[J].Journalof Electronics (China.2006, 23(3):361-364 [11] 毛飞, 蒋挺, 周正等. 奇周期最佳几乎二进序列偶理论研究[J].北京邮电大学学报, 2006, 29(6): 77-80. [12] 肖国镇, 梁传甲, 王育民. 伪随机序列及其应用[M]. 北京: 国防工业出版社, 1985: 47-61.

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