二维四元零相关区周期互补阵列偶集的构造方法研究
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摘要
基于二维周期互补阵列偶集,通过设计一种新型的移位序列,利用交织方法构造二维二元零相关区周期互补阵列偶集,进而利用一种新的逆Gray映射,生成二维四元零相关区周期互补阵列偶集.结果表明,阵列偶集中各个子集之间具有良好的相关特性.该方法将周期互补序列偶的思想应用到阵列集的构造中,给出了一种二维四元零相关区周期互补阵列偶集的构造方法.该构造方法根据零相关区长度的取值不同,能够获得大量新的构造结果,从而为实际工程提供更多的信号选择.
Based on two-dimensional binary periodic complementary sequence pairs sets, the two-dimensional binary periodic complementary array pairs sets with zero correlation zone is constructed by the new interleaving technique and shift sequence, then use the new inverse Gray mapping to construct the two-dimensional quaternary periodic complementary array pairs sets with zero correlation zone. The resutts show that there are good correlation properties between the subsets of array paivs sets. In this method, the concept of periodic complementary sequence pairs is introduced into the array structure and a method is used to construct, the two-dimensional quaternary periodic complementary array pairs sets with zero correlation zone. According to the different values of zero correlation zone length, a large number of new structural results can be obtained, which can provide more signal selection for practical engineering.
Based on two-dimensional binary periodic complementary sequence pairs sets, the two-dimensional binary periodic complementary array pairs sets with zero correlation zone is constructed by the new interleaving technique and shift sequence, then use the new inverse Gray mapping to construct the two-dimensional quaternary periodic complementary array pairs sets with zero correlation zone. The resutts show that there are good correlation properties between the subsets of array paivs sets. In this method, the concept of periodic complementary sequence pairs is introduced into the array structure and a method is used to construct, the two-dimensional quaternary periodic complementary array pairs sets with zero correlation zone. According to the different values of zero correlation zone length, a large number of new structural results can be obtained, which can provide more signal selection for practical engineering.
引文
[1]Tang X H,Fan P Z,Li D B,et al.Binary array set with zero correlation zone[J].Electronics Letters,2001,37(13):841-842.
[2]Cheng Chi,Jiang Tao,Liu Yinging.A novel class of 2-D binary sequences with zero correlation zone[J].IEEE Signal Processing Letters,2010,17(3):301-304.
[3]Chen X,Xu C.New method for constructing array sets with zero-correlation zone[J].Journal of Systems Engineering and Electronics,2013,24(6):925-930.
[4]HAYASHI T,OKAWA S.Binary array set having a cross-shaped zero-correlation zone[J].IEEE Signal Processing Letters,2004,11(4):423-426.
[5]刘永山,王德臣,贾彦国,等.准最佳三进阵列偶[J].计算机工程与应用,2011,47(12):113-116.
[6]李玉博,许成谦,李刚,等.四元二维零相关区阵列集构造法[J].电子学报,2012,40(10):2047-2051.
[7]柯品惠,张胜元.零相关区阵列偶集的递归构造研究[J].电子与信息学报,2011,33(5):1257-1260.
[8]高军萍,李琦,戴居丰,等.ZCZ阵列偶及其构造方法研究[J].通信学报,2008,29(9):62-67.
[9]Zeng F,Zeng X,Zhang Z,et al.New construction method for quaternary aperiodic,periodic,and Z-complementary sequence sets[J].Journal of Communications and Networks,2012,12(3):230-236.
[10]刘凯,俞赛,李玉博.二维四元零相关区周期互补阵列集构造法[J].系统工程与电子技术,2013,35(5):924-929.
[11]李琦,李鼎,高军萍,等.零相关区屏蔽四元周期互补序列偶集设计研究[J].电子与信息学报,2016,38(2):318-324.
[12]Ke P,Zhou Z.A generic construction of Z-Periodic complementary sequence sets with flexible flock size and zero correlation zone length[J].IEEE Signal Processing Letters,2015,22(9):1462-1466.
[13]李刚,许成谦,刘凯,等.二维零相关区周期互补序列偶及其理论界的研究[J].燕山大学学报,2011,35(1):81-86.
[14]李玉博,许成谦,荆楠,等.具有灵活子序列数目的零相关区周期互补序列集构造法[J].通信学报,2015,36(2):204-207.
[15]Zhou Z,Tang X,Gong G.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.
[16]Li Yubo,Xu Chengqian.Construction of two-dimensional periodic complementary array set with zero-correlation zone[C]//.Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications,Guilin,2011:104-107.
[2]Cheng Chi,Jiang Tao,Liu Yinging.A novel class of 2-D binary sequences with zero correlation zone[J].IEEE Signal Processing Letters,2010,17(3):301-304.
[3]Chen X,Xu C.New method for constructing array sets with zero-correlation zone[J].Journal of Systems Engineering and Electronics,2013,24(6):925-930.
[4]HAYASHI T,OKAWA S.Binary array set having a cross-shaped zero-correlation zone[J].IEEE Signal Processing Letters,2004,11(4):423-426.
[5]刘永山,王德臣,贾彦国,等.准最佳三进阵列偶[J].计算机工程与应用,2011,47(12):113-116.
[6]李玉博,许成谦,李刚,等.四元二维零相关区阵列集构造法[J].电子学报,2012,40(10):2047-2051.
[7]柯品惠,张胜元.零相关区阵列偶集的递归构造研究[J].电子与信息学报,2011,33(5):1257-1260.
[8]高军萍,李琦,戴居丰,等.ZCZ阵列偶及其构造方法研究[J].通信学报,2008,29(9):62-67.
[9]Zeng F,Zeng X,Zhang Z,et al.New construction method for quaternary aperiodic,periodic,and Z-complementary sequence sets[J].Journal of Communications and Networks,2012,12(3):230-236.
[10]刘凯,俞赛,李玉博.二维四元零相关区周期互补阵列集构造法[J].系统工程与电子技术,2013,35(5):924-929.
[11]李琦,李鼎,高军萍,等.零相关区屏蔽四元周期互补序列偶集设计研究[J].电子与信息学报,2016,38(2):318-324.
[12]Ke P,Zhou Z.A generic construction of Z-Periodic complementary sequence sets with flexible flock size and zero correlation zone length[J].IEEE Signal Processing Letters,2015,22(9):1462-1466.
[13]李刚,许成谦,刘凯,等.二维零相关区周期互补序列偶及其理论界的研究[J].燕山大学学报,2011,35(1):81-86.
[14]李玉博,许成谦,荆楠,等.具有灵活子序列数目的零相关区周期互补序列集构造法[J].通信学报,2015,36(2):204-207.
[15]Zhou Z,Tang X,Gong G.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.
[16]Li Yubo,Xu Chengqian.Construction of two-dimensional periodic complementary array set with zero-correlation zone[C]//.Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications,Guilin,2011:104-107.