新的相互正交二元零相关区序列集构造法
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摘要
提出了一种基于任意相同阶的Hadamard矩阵,交织递归构造相互正交二元零相关区序列集的新方法,构造的序列集能达到二元零相关区序列集的理论界.利用参数矩阵对Hadamard序列进行加权,经交织递归构造出零相关区序列集,集合内序列数量是Hadamard矩阵阶数的2倍,且序列集间满足相互正交关系.构造结果表明,参数矩阵取值的多样性可提高相互正交零相关区序列集的数量,能获得大量新的相互正交二元零相关区序列集,为准同步码分多址系统提供更多便于硬件实施的二元地址码集.
Based on a pair of Hadamard matrices of the same size,a new construction of mutually orthogonal binary sequence sets with zero correlation zone(ZCZ) is presented by interleaving recursion.The sequence sets proposed can achieve theoretical bound of binary ZCZ sequence sets.By interleaving recursion,ZCZ sequence sets can be constructed from Hadamard sequences weighted by the coefficient matrices,satisfying mutually orthogonality,in which the number of sequences doubles the size of Hadamard matrix.The construction results illustrate that the proposed method improves the number of mutually orthogonal binary sequence sets with ZCZ and obtains more new sequence sets,which are used in quasi-synchronous code division multiple access system and implemented conveniently in hardware,by means of different choices of the coefficient matrices.
Based on a pair of Hadamard matrices of the same size,a new construction of mutually orthogonal binary sequence sets with zero correlation zone(ZCZ) is presented by interleaving recursion.The sequence sets proposed can achieve theoretical bound of binary ZCZ sequence sets.By interleaving recursion,ZCZ sequence sets can be constructed from Hadamard sequences weighted by the coefficient matrices,satisfying mutually orthogonality,in which the number of sequences doubles the size of Hadamard matrix.The construction results illustrate that the proposed method improves the number of mutually orthogonal binary sequence sets with ZCZ and obtains more new sequence sets,which are used in quasi-synchronous code division multiple access system and implemented conveniently in hardware,by means of different choices of the coefficient matrices.
引文
[1]Fan Pingzhi.Spreading sequence design and theoreticallimits for quasisynchronous CDMA systems[J].EUR-ASIP Journal on Wireless Communications and Networ-king,2004,2004(1):19-31.
[2]Deng Xinmin,Fan Pingzhi.Spread sequence sets withzero correlation zone[J].Electron Lett,2000,36(11):993-994.
[3]Hayashi T.A generalization of binary zero-correlationzone sequence sets constructed from hadamard matrices[J].IEICE Trans Fundamentals,2004,E87-A(1):286-291.
[4]Torii H,Nakamura M,Suehiro N.A new class of zero-correlation zone sequences[J].IEEE Trans Inf Theory,2004,50(3):559-565.
[5]Hu Honggang,Gong Guang.New sequence families withzero or low correlation zone via interleaving techniques[J].IEEE Trans Inf Theory,2010,56(4):1702-1713.
[6]Tang Xiaohu,Fan Pingzhi,Matsufuji S.Lower boundson the maximum correlation of sequence set with low orzero correlation zone[J].Electron Lett,2000,36(6):551-552.
[7]Rathinakumar A,Chaturvedi A K.Mutually orthogonalsets of ZCZ sequences[J].Electron Lett,2004,40(18):1133-1134.
[8]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.Construc-tion of mutually orthogonal sets of zero correlation zone se-quences[J].Journal of Electronics and Information Tech-nology,2006,28(12):2347-2350.
[9]Zeng Fanxin.New perfect polyphase sequences and mutu-ally orthogonal ZCZ polyphase sequence sets[J].IEICETrans Fundamentals,2009,E92-A(7):1731-1736.
[10]Li Yubo,Xu Chengqian,Liu Kai.Construction of mu-tually orthogonal zero correlation zone polyphase se-quence sets[J].IEICE Trans Fundamentals,2011,E94-A(4):1159-1164.
[11]Zhang Zhenyu,Zeng Fanxin,Xuan Guixin.A class ofcomplementary sequences with multi-width zero cross-correlation zone[J].IEICE Trans Fundamentals,2010,E93-A(8):1508-1517.
[2]Deng Xinmin,Fan Pingzhi.Spread sequence sets withzero correlation zone[J].Electron Lett,2000,36(11):993-994.
[3]Hayashi T.A generalization of binary zero-correlationzone sequence sets constructed from hadamard matrices[J].IEICE Trans Fundamentals,2004,E87-A(1):286-291.
[4]Torii H,Nakamura M,Suehiro N.A new class of zero-correlation zone sequences[J].IEEE Trans Inf Theory,2004,50(3):559-565.
[5]Hu Honggang,Gong Guang.New sequence families withzero or low correlation zone via interleaving techniques[J].IEEE Trans Inf Theory,2010,56(4):1702-1713.
[6]Tang Xiaohu,Fan Pingzhi,Matsufuji S.Lower boundson the maximum correlation of sequence set with low orzero correlation zone[J].Electron Lett,2000,36(6):551-552.
[7]Rathinakumar A,Chaturvedi A K.Mutually orthogonalsets of ZCZ sequences[J].Electron Lett,2004,40(18):1133-1134.
[8]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.Construc-tion of mutually orthogonal sets of zero correlation zone se-quences[J].Journal of Electronics and Information Tech-nology,2006,28(12):2347-2350.
[9]Zeng Fanxin.New perfect polyphase sequences and mutu-ally orthogonal ZCZ polyphase sequence sets[J].IEICETrans Fundamentals,2009,E92-A(7):1731-1736.
[10]Li Yubo,Xu Chengqian,Liu Kai.Construction of mu-tually orthogonal zero correlation zone polyphase se-quence sets[J].IEICE Trans Fundamentals,2011,E94-A(4):1159-1164.
[11]Zhang Zhenyu,Zeng Fanxin,Xuan Guixin.A class ofcomplementary sequences with multi-width zero cross-correlation zone[J].IEICE Trans Fundamentals,2010,E93-A(8):1508-1517.