一类相互正交的最佳二元零相关区序列集构造法

刘涛; 许成谦; 李玉博

doi:10.11999/JEIT161365

一类相互正交的最佳二元零相关区序列集构造法

doi: 10.11999/JEIT161365

基金项目:

国家自然科学基金(61501395, 61671402)，河北省自然科学基金(F2014203059, F2015203150, F2015203204)

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- 被引次数: 0
出版历程
- 收稿日期: 2016-12-14
- 修回日期: 2017-03-23
- 刊出日期: 2017-10-19

Construction of Optimal Mutually Orthogonal Sets of Binary Zero Correlation Zone Sequences

Funds:

The National Natural Science Foundation of China (61501395, 61671402), The Natural Science Foundation of Hebei Province (F2014203059, F2015203150, F2015203204)

摘要

摘要: 该文给出一类相互正交的二元零相关区序列集构造法。基于二元正交矩阵，首先构造得到了一类相互正交的非周期互补序列集，进而构造了相互正交的二元零相关区序列集，每个序列集参数都是最佳的。同已有方法相比，该文方法能生成更多的相互正交的二元零相关区序列集，解决了集合数目大于2且相互正交的最佳二元零相关区序列集构造问题，可以为准同步码分多址系统提供更多的序列。
- 准同步CDMA /
- 零相关区序列 /
- 相互正交 /
- 正交矩阵
Abstract: A class of mutually orthogonal binary Zero Correlation Zone (ZCZ) sequence sets are constructed. Based on binary orthogonal matrices, numbers of mutually orthogonal aperiodic complementary sequence sets are constructed at first, then mutually orthogonal ZCZ sequence sets are obtained from these aperiodic complementary sequence sets. Each ZCZ sequence set is an optimal binary ZCZ sequence set. Compared with existing methods, the presented construction produces more mutually orthogonal ZCZ sequence sets. As a result, the problem of constructing more than two optimal mutually orthogonal sets of binary ZCZ sequences is sloved by the presented approach and more sequences are produced for Quasi-Synchronous Code Division Multiple Access (QS-CDMA) systems.
- Quasi-Synchronous Code Division Multiple Access (QS-CDMA) /
- Zero Correlation Zone (ZCZ) sequence /
- Mutually orthogonal /
- Orthogonal matrix

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参考文献(25)

FAN Pingzhi and HAO Li. Generalized orthogonal sequences and their applications in synchronous CDMA systems[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2000, E83-A(11): 2054-2069.

TANG Xiaohu, FAN Pingzhi, and MATSUFUJI Shinya. Lower bounds on correlation of spreading sequence set with low or zero correlation zone[J]. Electronics Letters, 2000, 36(6): 551-552. doi: 10.1049/el:20000462.

DENG Xinmin and FAN Pingzhi. Spreading sequence sets with zero correlation zone[J]. Electronic Letters, 2000, 36(11): 993-994. doi: 10.1049/el:20000720.

王扬志, 许成谦. 一类三元非周期零相关区序列集的构造[J]. 电子与信息学报, 2008, 30(11): 2626-2629. doi: 10.3724/SP.J. 1146.2007.00738.

WANG Yangzhi and XU Chengqian. Construction of ternary sequence sets with aperiodic zero correlation zone[J]. Journal of Electronics Information Technology, 2008, 30(11): 2626-2629. doi: 10.3724/SP.J.1146.2007.00738.

李玉博, 许成谦, 李刚, 等. 一类三元多子集零相关区序列集构造法[J]. 电子与信息学报, 2012, 34(12): 2876-2880. doi: 10.3724/SP.J.1146.2012.00187.

LI Yubo, XU Chengqian, LI Gang, et al. A class of ternary ZCZ squence set with multiple subsets[J] Journal of Electronics Information Technology, 2012, 34(12): 2876-2880. doi: 10.3724/SP.J.1146.2012.00187.

LIU Yencheng, CHEN Chingwei, and SU Yut. New constructions of zero corrlelation zone sequences[J]. IEEE Transactions on Information Theory, 2013, 59(8): 4994-5007. doi: 10.1109/TIT.2013.2253831.

ZHOU Zhengchun and TANG Xiaohu. A new class of sequences with zero or low correlation zone based on interleaving technique[J]. IEEE Transactions on Information Theory, 2008, 54(9): 4267-4273. doi: 10.1109/TIT.2008. 928256.

刘凯, 姜昆. 交织法构造高斯整数零相关区序列集[J]. 电子与信息学报, 2017, 39(2): 328-334. doi: 10.11999/JEIT160276.

LIU Kai and JIANG Kun. Construction of Gaussian integer sequence sets with zero correlation zone based on interleaving technique[J]. Journal of Electronics Information Technology, 2017, 39(2): 328-334. doi: 10.11999/JEIT160276.

LI Yubo and XU Chengqian. A new construction of zero correlation zone Gaussian integer sequence sets[J]. IEEE Communications Letters, 2016, 20(12): 2418-2421. doi: 10.1109/LCOMM.2016.2609383.

CHEN Xiaoyu, KONG Deming, XU Chengqian et al. Constructions of Gaussian integer sequences with zero corelation zone[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2016, E99-A(6): 1260-1263.

RATHINAKUMAR A and CHATURVEDI A K. Mutually orthogonal sets of ZCZ sequences[J]. Electronics Letters, 2004, 40(18): 1133-1134. doi: 10.1049/el:20045628.

TANG Xiaohu, FAN Pingzhi, and LINDNER J. Multiple binary ZCZ sequence sets with good cross-correlation propety based on complementary sequence sets[J]. IEEE Transactions on Information Theory, 2010, 56(8): 4038-4045. doi: 10.1109/ TIT.2010.2050796.

WANG Longye, ZENG Xiaoli, and WEN Hong. Families of asymmetric sequence pair set with zero correlation zone via interleaved technique[J]. IET Communications, 2016, 10(3): 229-234. doi: 10.1049/iet-com.2015.0075.

严李强, 曾晓莉, 王龙业, 等. 基于交织技术的非对称零相关区序列偶集构造[J]. 电子与信息学报, 2015, 37(10): 2483-2489. doi: 10.11999/JEIT150030.

YAN Liqiang, ZENG Xiaoli, WANG Longye, et al. Design of asymmetric sequence pairs set with zero correlation zone based on interleaving technique[J]. Journal of Electronics Information Technology, 2015, 37(10): 2483-2489. doi: 10.11999/JEIT150030.

TORII Hideyuki, NAKAMURA Makoto, and SUEHIRO Naoki. A new calss of polyphase sequence sets with optimal zero-correlation zones[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2005, E88-A(7): 1987-1994.

曾祥勇, 程池, 胡磊, 等. 一类相互正交的零相关区序列集的构造[J]. 电子与信息学报, 2006, 28(12): 2347-2350.

ZENG Xiangyong, CHENG Chi, HU Lei, et al. Construction of mutually orthogonal sets of zero correlation zone sequences [J]. Journal of Electronics Information Technology, 2006, 28(12): 2347-2350.

ZENG Fanxin. New perfect polyphase sequences and mutually orthogonal ZCZ polyphase sequence sets[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2009, E92-A(7): 1731-1736.

LI Yubo, XU Chengqian, and LIU Kai. Construction of mutually orthogonal zero correlation zone polyphase sequence sets[J]. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2011, E94-A(4): 1159-1164.

刘凯, 俞赛, 李玉博, 等. 新的相互正交二元零相关区序列集构造法[J]. 北京邮电大学学报, 2012, 35(6): 30-33.

LIU Kai, YU Sai, LI Yubo, et al. New construction of mutually orthogonal binary sequence sets with zero correlation zone[J]. Journal of Beijing University of Posts and Telecommunications, 2012, 35(6): 30-33.

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