基于m-序列的二元零相关区序列构造新方法
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摘要
基于伪随机序列,提出一种二元零相关区序列构造方法。该方法利用伪随机序列的游程特性,通过在伪随机序列的适当位置进行插值,使生成的序列具有一定长度的零相关区。为了提高序列的丰富性,提出两种扩展方法:一种基于交织技术,通过构造移位序列,使交织序列的周期增大而零相关区不变;另一种方法将零相关区序列与Hadamard矩阵的行向量按位相乘,该方法能够增加零相关区序列数量的同时不改变序列的周期。数值仿真证明了所提方法的有效性。
Based on pseudo sequence,a binary zero correlation zone( ZCZ) sequence construction method is presented in this paper. By employing the run length characteristic,through interpolating in appropriate location,the sequence is constructed with ZCZ of a certain length. In order to enlarge the richness of the sequences,two extension methods are introduced. One is based on interleaving technique and through designing shift sequence,the sequence constructed by which has increased period and identical ZCZ. The other multiples the ZCZ sequence and row vectors of Hadamard matrix bit by bit to increase the volume but without changing the period of the ZCZ sequences. Numerical simulation validates the effectiveness of the proposed method.
Based on pseudo sequence,a binary zero correlation zone( ZCZ) sequence construction method is presented in this paper. By employing the run length characteristic,through interpolating in appropriate location,the sequence is constructed with ZCZ of a certain length. In order to enlarge the richness of the sequences,two extension methods are introduced. One is based on interleaving technique and through designing shift sequence,the sequence constructed by which has increased period and identical ZCZ. The other multiples the ZCZ sequence and row vectors of Hadamard matrix bit by bit to increase the volume but without changing the period of the ZCZ sequences. Numerical simulation validates the effectiveness of the proposed method.
引文
[1]Matsufuji S,Matsumoto T,Matsuo T,et al.A ZCZ-CDMA system with high tolerance to frequency selective fading[C]//Proceedings of 2011 Fifth International Workshop on Signal Design and its Applications in Communications(IWSDA).Guilin:IEEE,2011:157-160.
[2]Torii H,Satoh M,Matsumoto T,et al.Generalized mutually orthogonal ZCZ sequence Sets based on perfect sequences and orthogonal codes[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2013,E85-A(6):1420-1425.
[3]Lei Xu,Liang Qi-lian.Zero correlation Zone sequence pair Sets for MIMO radar[J].IEEE Transactions on Aerospace and Electronic Systems,2012,48(3):2100-2113.
[4]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.LIU Kai,YU Sai,LI Yu-bo.Construction of two-dimensional quaternary periodic complementary array sets with zero correlation zone[J].Systems Engineering and Electronics,2013,35(5):924-929.(in Chinese)
[5]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.LI Yu-bo,XU Cheng-qian,LI Gang,et al.Construction of quaternary two dimensional array Sets with a Zero correlation Zone[J].Acta Electronica Sinica,2012,40(10):2047-2051.(in Chinese)
[6]Choi K,Liu Hua-ping.Polyphase scrambled walsh codes for Zero-Correlation Zone extension in QS-CDMA[J].IEEE Communications Letters,2012,16(4):429-431.
[7]Zeng F X,Zeng X P,Zhang Z Y,et al.Almost perfect se-quences and periodic complementary sequence pairs over the 16-QAM constellation[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Science,2012,E95-A(1):400-405.
[8]Chen Xiao-yu,Xu C,Li Y,et al.Construction of shift distinct sequence sets with zero or low correlation zone[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2013,E96-A(1):377-382.
[9]Huang Y P,Tang J,Zhou Y T.New families of zero correlation sequences via interleaving technique[J].Recent Advances in Computer Science and Information Engineering,2012,127(1):169-175.
[10]Matsumoto T,Matsufuji S.Optical ZCZ code generators using sylvester-type hadamard matrix[J].International Journal of Communications,2010,4(1):22-29.
[11]Zeng X,Wang L,Ma W.Two types of zero correlation zone sequence pairs set via interleaving perfect sequence pairs[C]//Proceedings of 2012 IEEE International Conference on Intelligent Control,Automatic Detection and High-End Equipment.Beijing:IEEE,2012:154-159.
[12]Tang Xiao-hu,Guang Gong.New constructions of binary sequences with optimal autocorrelation value/magnitude[J].IEEE Transactions on Information Theory,2010,56(3):1278-1286.
[13]Chi Cheng,Tao Jiang,Yining L.A novel class of 2-D binary sequences with Zero correlation Zone[J].IEEE Signal Processing Letters,2010,17(3):301-304.
[14]Ke P H,Zhang S,Lin F.Constructions of binary array set with zero-correlation zone[J].Information Sciences,2012,197(1):197-206.
[15]Zhou Zheng-chun,Tang Xiao-hu,Guang Gong.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]Hu H,Gong G.New sequence families with zero or low correlation zone via interleaving techniques[J].IEEE Transactions on Information Theory,2010,45(6):1702-1712.
[17]李兆斌,蒋挺,周正.基于伪随机序列的零相关区三元序列偶集的研究[J].通信学报,2009,30(8):27-31.LI Zhao-bin,JIANG Ting,ZHOU Zheng.Research of ZCZ ternary sequence pairs set based on pseudorandom sequence[J].Journal on Communications,2009,30(8):27 -31.(in Chinese)
[2]Torii H,Satoh M,Matsumoto T,et al.Generalized mutually orthogonal ZCZ sequence Sets based on perfect sequences and orthogonal codes[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2013,E85-A(6):1420-1425.
[3]Lei Xu,Liang Qi-lian.Zero correlation Zone sequence pair Sets for MIMO radar[J].IEEE Transactions on Aerospace and Electronic Systems,2012,48(3):2100-2113.
[4]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.LIU Kai,YU Sai,LI Yu-bo.Construction of two-dimensional quaternary periodic complementary array sets with zero correlation zone[J].Systems Engineering and Electronics,2013,35(5):924-929.(in Chinese)
[5]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.LI Yu-bo,XU Cheng-qian,LI Gang,et al.Construction of quaternary two dimensional array Sets with a Zero correlation Zone[J].Acta Electronica Sinica,2012,40(10):2047-2051.(in Chinese)
[6]Choi K,Liu Hua-ping.Polyphase scrambled walsh codes for Zero-Correlation Zone extension in QS-CDMA[J].IEEE Communications Letters,2012,16(4):429-431.
[7]Zeng F X,Zeng X P,Zhang Z Y,et al.Almost perfect se-quences and periodic complementary sequence pairs over the 16-QAM constellation[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Science,2012,E95-A(1):400-405.
[8]Chen Xiao-yu,Xu C,Li Y,et al.Construction of shift distinct sequence sets with zero or low correlation zone[J].IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences,2013,E96-A(1):377-382.
[9]Huang Y P,Tang J,Zhou Y T.New families of zero correlation sequences via interleaving technique[J].Recent Advances in Computer Science and Information Engineering,2012,127(1):169-175.
[10]Matsumoto T,Matsufuji S.Optical ZCZ code generators using sylvester-type hadamard matrix[J].International Journal of Communications,2010,4(1):22-29.
[11]Zeng X,Wang L,Ma W.Two types of zero correlation zone sequence pairs set via interleaving perfect sequence pairs[C]//Proceedings of 2012 IEEE International Conference on Intelligent Control,Automatic Detection and High-End Equipment.Beijing:IEEE,2012:154-159.
[12]Tang Xiao-hu,Guang Gong.New constructions of binary sequences with optimal autocorrelation value/magnitude[J].IEEE Transactions on Information Theory,2010,56(3):1278-1286.
[13]Chi Cheng,Tao Jiang,Yining L.A novel class of 2-D binary sequences with Zero correlation Zone[J].IEEE Signal Processing Letters,2010,17(3):301-304.
[14]Ke P H,Zhang S,Lin F.Constructions of binary array set with zero-correlation zone[J].Information Sciences,2012,197(1):197-206.
[15]Zhou Zheng-chun,Tang Xiao-hu,Guang Gong.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]Hu H,Gong G.New sequence families with zero or low correlation zone via interleaving techniques[J].IEEE Transactions on Information Theory,2010,45(6):1702-1712.
[17]李兆斌,蒋挺,周正.基于伪随机序列的零相关区三元序列偶集的研究[J].通信学报,2009,30(8):27-31.LI Zhao-bin,JIANG Ting,ZHOU Zheng.Research of ZCZ ternary sequence pairs set based on pseudorandom sequence[J].Journal on Communications,2009,30(8):27 -31.(in Chinese)