基于交织技术的非对称零相关区序列偶集构造
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摘要
为了抑制或者消除准同步码分多址(QS-CDMA)通信系统的多址干扰(MAI)、多径干扰(MI)以及邻小区干扰,该文提出一类非对称零相关区(A-ZCZ)序列偶集的构造方法。基于给定的最佳自相关序列偶,运用交织操作,成功设计一类非对称零相关区序列偶集。新集合的每个子集均是零相关区序列偶集,且不同子集的序列偶间的互相关函数(CCF)具有更大的零互相关区(ZCCZ)。同时,该文提出的构造方法可以根据系统要求灵活地选择子集的零相关区宽度。
In order to eliminate the Multiple Access Interference(MAI) and Multipath Interference(MI), and avoid inter-cell interference from adjacent cells in Quasi-Synchronous Code Division Multiple Access(QS-CDMA) system, one class of asymmetric sequences pairs with Zero-Correlation Zone(ZCZ) are proposed. Based on the interleaved technique, a new Asymmetric-ZCZ(A-ZCZ) sequence pair set can be generated from a given perfect auto-correlation sequence pair. The presented A-ZCZ sequence pairs contains of multiple subsets which are the traditional ZCZ sequence pairs. The Cross-Correlation Function(CCF) between any two sequence pairs of different subsets has a wider Zero-Cross-Correlation Zone(ZCCZ). As a benefit, the ZCZ length of A-ZCZ sequence pair set can be flexibly chosen according to the requirement of the system.
In order to eliminate the Multiple Access Interference(MAI) and Multipath Interference(MI), and avoid inter-cell interference from adjacent cells in Quasi-Synchronous Code Division Multiple Access(QS-CDMA) system, one class of asymmetric sequences pairs with Zero-Correlation Zone(ZCZ) are proposed. Based on the interleaved technique, a new Asymmetric-ZCZ(A-ZCZ) sequence pair set can be generated from a given perfect auto-correlation sequence pair. The presented A-ZCZ sequence pairs contains of multiple subsets which are the traditional ZCZ sequence pairs. The Cross-Correlation Function(CCF) between any two sequence pairs of different subsets has a wider Zero-Cross-Correlation Zone(ZCCZ). As a benefit, the ZCZ length of A-ZCZ sequence pair set can be flexibly chosen according to the requirement of the system.
引文
[1]Fan Ping-zhi and Hao Li.Generalized orthogonal sequences and their applications in synchronous CDMA systems[J].IEICE Transactions Fundamentals,2000,E83-A(11):1-16.
[2]Matsufuji S,Kuroyanagi N,Suehiro N,et al..Two types polyphase sequence sets for approximately synchronized CDMA systems[J].IEICE Transactions Fundamentals,2003,E86-A(1):229-234.
[3]Torii H,Nakamura M,and Naoki S.A new class of zerocorrelation zone sequences[J].IEEE Transactions on Information Theory,2004,50(3):559-565.
[4]Tang Xiao-hu and Mow Wai-ho.A new systematic construction of zero correlation zone sequences based on interleaved perfect sequences[J].IEEE Transactions on Information Theory,2008,54(12):5729-5734.
[5]高军萍,李琦,李鹤.ZCZ序列偶集构造方法研究[J].河北工业大学学报,2014,43(3):10-15.Gao Jun-ping,Li Qi,and Li He.The construction of ZCZ sequence pairs sets[J].Journal of Hebei University of Technology,2014,43(3):10-15.
[6]Shi Reng-hui,Zhao Xiao-qun,and Li Li-zhi.Research on construction method of ZCZ sequence pairs set[J].Journal of Convergence Information Technology,2011,6(1):15-23.
[7]王龙业,曾晓莉,许成谦,等.新型零相关区序列偶集的交织构造[J].信息与控制,2013,42(1):77-83.Wang Long-ye,Zeng Xiao-li,Xu Cheng-qian,et al..Novel method of sequence pairs set with zero correlation zone based on interleaved technique[J].Information and Control,2013,42(1):77-83.
[8]李玉博,许成谦,刘凯,等.一类多相零相关区周期互补序列集构造法[J].电子与信息学报,2014,36(2):340-345.Li Yu-bo,Xu Cheng-qian,Liu Kai,et al..A construction method of polyphase periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(2):340-345.
[9]刘凯,俞赛,史洪印.一类四元零相关区周期互补序列集[J].电子与信息学报,2014,36(9):2086-2092.Liu Kai,Yu Sai,and Shi Hong-yin.A class of quaternary periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(9):2086-2092.
[10]李玉博,许成谦,李刚,等.交织法构造四元低相关区序列集[J].电子学报,2014,42(4):690-695.Li Yu-bo,Xu Cheng-qian,Li Gang,et al..Construction of quaternary low correlation zone sequence sets based on interleaving technique[J].Acta Electronica Sinica,2014,42(4):690-695.
[11]李明阳,柏鹏,李寰宇,等.基于交织的零相关序列集的扩展方法研究[J].南京邮电大学学报(自然科学版),2014,34(2):72-77.Li Ming-yang,Bai Peng,Li Huan-yu,et al..Extension method for zero correlation zone sequence set based on interleaving technique[J].Journal of Nanjing University of Posts and Telecommunications(Natural Science),2014,34(2):72-77.
[12]Torii H,Matsumoto T,and Nakamura M.A new method for constructing asymmetric ZCZ sequence sets[J].IEICE Transactions Fundamentals,2012,E95-A(9):1577-1586.
[13]Torii H,Matsumoto T,and Nakamura M.Extension of methods for constructing polyphase asymmetric ZCZ sequence sets[J].IEICE Transactions Fundamentals,2013,E96-A(11):2244-2252.
[14]Wang Long-ye,Zeng Xiao-li,and Wen Hong.A novel construction of asymmetric ZCZ sequence sets from interleaving perfect sequence[J].IEICE Transactions Fundamentals,2014,E97-A(12):2556-2561.
[15]Wang Long-ye,Zeng Xiao-li,Wen Hong,et al..New families of asymmetric zero-correlation zone sequence sets based on interleaved perfect sequence[C].Proceedings of IEEE/CIC International Conference on Communications in China,Shanghai,China,2014:31-36.
[16]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.Li Yu-bo,Xu Cheng-qian,Li Gang,et al..A class of ternary zero correlation zone sequence set with multiple subsets[J].Journal of Electronics&Information Technology,2012,34(12):2876-2880.
[17]Wang Long-ye,Zeng Xiao-li,and Wen Hong.A novel construction of asymmetric sequence pairs set with zero-correlation zone[C].Proceedings of International Conference on Sequences and Their Applications,Melbourne,Australia,2014:280-289.
[18]Gong G.New designs for signal sets with low cross correlation,balance property,and large linear span:GF(p)case[J].IEEE Transactions on Information Theory,2002,48(11):2847-2867.
[19]Zhou Zheng-chun,Tang Xiao-hu,and Gong G.A new class of sequences with zero or low correlation zone sequences based on interleaving technique[J].IEEE Transactions on Information Theory,2008,54(9):4267-4273.
[2]Matsufuji S,Kuroyanagi N,Suehiro N,et al..Two types polyphase sequence sets for approximately synchronized CDMA systems[J].IEICE Transactions Fundamentals,2003,E86-A(1):229-234.
[3]Torii H,Nakamura M,and Naoki S.A new class of zerocorrelation zone sequences[J].IEEE Transactions on Information Theory,2004,50(3):559-565.
[4]Tang Xiao-hu and Mow Wai-ho.A new systematic construction of zero correlation zone sequences based on interleaved perfect sequences[J].IEEE Transactions on Information Theory,2008,54(12):5729-5734.
[5]高军萍,李琦,李鹤.ZCZ序列偶集构造方法研究[J].河北工业大学学报,2014,43(3):10-15.Gao Jun-ping,Li Qi,and Li He.The construction of ZCZ sequence pairs sets[J].Journal of Hebei University of Technology,2014,43(3):10-15.
[6]Shi Reng-hui,Zhao Xiao-qun,and Li Li-zhi.Research on construction method of ZCZ sequence pairs set[J].Journal of Convergence Information Technology,2011,6(1):15-23.
[7]王龙业,曾晓莉,许成谦,等.新型零相关区序列偶集的交织构造[J].信息与控制,2013,42(1):77-83.Wang Long-ye,Zeng Xiao-li,Xu Cheng-qian,et al..Novel method of sequence pairs set with zero correlation zone based on interleaved technique[J].Information and Control,2013,42(1):77-83.
[8]李玉博,许成谦,刘凯,等.一类多相零相关区周期互补序列集构造法[J].电子与信息学报,2014,36(2):340-345.Li Yu-bo,Xu Cheng-qian,Liu Kai,et al..A construction method of polyphase periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(2):340-345.
[9]刘凯,俞赛,史洪印.一类四元零相关区周期互补序列集[J].电子与信息学报,2014,36(9):2086-2092.Liu Kai,Yu Sai,and Shi Hong-yin.A class of quaternary periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(9):2086-2092.
[10]李玉博,许成谦,李刚,等.交织法构造四元低相关区序列集[J].电子学报,2014,42(4):690-695.Li Yu-bo,Xu Cheng-qian,Li Gang,et al..Construction of quaternary low correlation zone sequence sets based on interleaving technique[J].Acta Electronica Sinica,2014,42(4):690-695.
[11]李明阳,柏鹏,李寰宇,等.基于交织的零相关序列集的扩展方法研究[J].南京邮电大学学报(自然科学版),2014,34(2):72-77.Li Ming-yang,Bai Peng,Li Huan-yu,et al..Extension method for zero correlation zone sequence set based on interleaving technique[J].Journal of Nanjing University of Posts and Telecommunications(Natural Science),2014,34(2):72-77.
[12]Torii H,Matsumoto T,and Nakamura M.A new method for constructing asymmetric ZCZ sequence sets[J].IEICE Transactions Fundamentals,2012,E95-A(9):1577-1586.
[13]Torii H,Matsumoto T,and Nakamura M.Extension of methods for constructing polyphase asymmetric ZCZ sequence sets[J].IEICE Transactions Fundamentals,2013,E96-A(11):2244-2252.
[14]Wang Long-ye,Zeng Xiao-li,and Wen Hong.A novel construction of asymmetric ZCZ sequence sets from interleaving perfect sequence[J].IEICE Transactions Fundamentals,2014,E97-A(12):2556-2561.
[15]Wang Long-ye,Zeng Xiao-li,Wen Hong,et al..New families of asymmetric zero-correlation zone sequence sets based on interleaved perfect sequence[C].Proceedings of IEEE/CIC International Conference on Communications in China,Shanghai,China,2014:31-36.
[16]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.Li Yu-bo,Xu Cheng-qian,Li Gang,et al..A class of ternary zero correlation zone sequence set with multiple subsets[J].Journal of Electronics&Information Technology,2012,34(12):2876-2880.
[17]Wang Long-ye,Zeng Xiao-li,and Wen Hong.A novel construction of asymmetric sequence pairs set with zero-correlation zone[C].Proceedings of International Conference on Sequences and Their Applications,Melbourne,Australia,2014:280-289.
[18]Gong G.New designs for signal sets with low cross correlation,balance property,and large linear span:GF(p)case[J].IEEE Transactions on Information Theory,2002,48(11):2847-2867.
[19]Zhou Zheng-chun,Tang Xiao-hu,and Gong G.A new class of sequences with zero or low correlation zone sequences based on interleaving technique[J].IEEE Transactions on Information Theory,2008,54(9):4267-4273.