一类三元ZCZ序列偶集的构造法
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摘要
为降低甚至消除准同步码分多址(CDMA:Code Division Multiple Access)系统的多径干扰和多址干扰,满足系统不断增大的用户容量需要,给出一种新的ZCZ(Zero Correlation Zone)序列偶集的构造方法。该方法基于三元最佳序列偶和正交矩阵偶(二元或三元),构造初始的ZCZ序列偶集,这类序列偶集的性能参数可达到理论界。通过对序列偶移位,再与移位不等价向量相乘,以扩展已经构造的序列偶集。研究结果表明,该类ZCZ序列偶集序列偶的数量与零相关区长度及设定的参数有关,通过设置参数值,即可得到不同的ZCZ序列偶集。
A new construction of ZCZ(Zero Correlation Zone)sequence pairs set is presented.It can be used in AS-CDMA(Approximately-Synchronized Code Division Multiply Access) system for the reduction or elimination of the multipath interference and multiple access inter access interference of the system.Based on ternary perfect sequence pairs and orthogonal matrix pairs(binary or ternary),the initial ZCZ sequence pairs set,the performance parameter of which could achieve Theory Circle,is constructed.Then extend the constructed ZCZ sequence pairs set by multiplying with unequal vectors after shifting,we get a class ZCZ sequence pairs set.The number of sequence pairs and the length of zero are related to parameters,different ZCZ sequence pairs sets can be obtained by setting parameters.
A new construction of ZCZ(Zero Correlation Zone)sequence pairs set is presented.It can be used in AS-CDMA(Approximately-Synchronized Code Division Multiply Access) system for the reduction or elimination of the multipath interference and multiple access inter access interference of the system.Based on ternary perfect sequence pairs and orthogonal matrix pairs(binary or ternary),the initial ZCZ sequence pairs set,the performance parameter of which could achieve Theory Circle,is constructed.Then extend the constructed ZCZ sequence pairs set by multiplying with unequal vectors after shifting,we get a class ZCZ sequence pairs set.The number of sequence pairs and the length of zero are related to parameters,different ZCZ sequence pairs sets can be obtained by setting parameters.
引文
[1]FAN P Z,HAO L.Generalized Orthogonal Sequences and their Applications in Synchronous CDMA Systems[J].IEICETrans Fundamentals,2000,E83-A(11):2054-2069.
[2]FAN P Z,SUEHIRO N,KUROYANAGI.A Class of Binary Sequence with Zero Correlation Zone[J].Electronics Letters,1999,35(10):777-779.
[3]LONG B Q,ZHANG P,HU J D.A Generalized QS-CDMA System and the Design of New Spreading Codes[J].IEEETransactions Vehicular Technology,1998,47(4):1268-1275.
[4]赵晓群,何文才,王仲文.最佳二进阵列偶理论研究[J].电子学报,1999,27(1):34-37.ZHAO Xiao-qun,HE Wen-cai,WANG Zhong-wen.The Theory of the Binary Array Pairs[J].Journal of Electronic,1999,27(1):34-37.
[5]梁清梅,刘金明,许成谦.一种达到理论上限的新型扩频序列集[J].无线电工程,2006,30(10):27-30.LIANG Qing-mei,LIU Jin-ming,XU Cheng-qian.A Novel Spread Spectrum Sequence Set up to Upper Bound of Theory[J].Radio Engineering of China,2006,30(10):27-30.
[6]刘凯,许成谦,刘洺辛.由平方剩余差集与差集偶构造二元ZCZ序列偶集[J].北京邮电大学学报,2009,32(4):50-53.LIU Kai,XU Cheng-qian,LIU Ming-xin.Construction of Binary ZCZ Sequence Pair Based on Quadratic Difference Set andDifference Set Pair[J].Journal of Beijing University of Post and Telecommunications,2009,32(4):50-53.
[7]许蕾,蒋挺,周正.最佳屏蔽二进序列偶在低/零相关区中的应用研究[J].通信学报,2006,27(10):19-24.XU Lei,JIANG Ting,ZHOU Zheng.Application Research of Perfect Punctured Binary Sequence Pair in LCZ/ZCZ[J].Journal of Communication,2006,27(10):19-24.
[8]李兆斌,魏占祯,池亚平.ZCZ屏蔽序列偶集的构造方法[J].北京邮电大学学报,2011,34(3):17-20.LI Zhao-bin,WEI Zhan-zhen,CHI Ya-ping.Construction Method of ZCZ Puncture Sequence Pair Set[J].Journal of BeijingUniversity of Post and Telecommunications,2011,34(3):17-20.
[9]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.Study on ZCZ Ternary Sequence Pair Based on Pseudo Random Sequence[J].Journal of Communication,2009,30(8):27-31.
[10]肖丽萍,许成谦.最佳几乎四相信号[J].吉林大学学报:工学版,2011,41(3):855-858.XIAO Li-ping,XU Cheng-qian.Perfect Almost-Quadphase Signal[J].Journal of Jilin University:Engineering andTechnology Edition,2011,41(3):855-858.
[11]王志华,柯品惠,张胜元.ZCZ序列偶集的构造研究[J].福建师范大学学报:自然科学版,2010,26(5):16-19.WANG Zhi-hua,KE Pin-hui,ZHANG Sheng-yuan.Study on the Construction of ZCZ Sequence Pair Set[J].Journal ofFujian Normal University:Natural Science Edition,2010,26(5):16-19.
[12]肖丽萍,李卫卫,许成谦.ZCZ序列偶集及大容量ZCZ序列偶集的构造[J].北京邮电大学学报,2010,33(5):89-93.XIAO Li-ping,LI Wei-wei,XU Cheng-qian.Construction of ZCZ Sequence Pairs Set and ZCZ Sequence Pairs Set with LargeFamily Size[J].Journal of Beijing University of Post and Telecommunications,2010,33(5):89-93.
[13]柯品惠,王志华,张胜元.基于交织方法的ZCZ阵列偶集的构造研究[J].电子与信息学报,2010,33(5):89-93.KE Pin-hui,WANG Zhi-hua,ZHANG Sheng-yuan.Construction of ZCZ Array Pairs Set by Interleaving Techniques[J].Journal of Electronic and Information,2010,33(5):89-93.
[14]高军萍,李琦,戴居丰,等.ZCZ阵列偶及构造方法研究[J].通信学报,2008,29(9):62-67.GAO Jun-ping,LI Qi,DAI Ju-feng,et al.Research of ZCZ Array Aair and Its Construction Method[J].Journal ofCommunication,2008,29(9):62-67.
[15]刘凯,许成谦,李刚.二元二值周期自相关序列偶的应用研究[J].电子信息学报,2009,31(7):1536-1541.LIU Kai,XU Cheng-qian,LI Gang.Application Research on Binary Sequence Pairs with Two-Level Periodic Autocorrelation[J].Journal of Electronic and Information,2009,31(7):1536-1541.
[2]FAN P Z,SUEHIRO N,KUROYANAGI.A Class of Binary Sequence with Zero Correlation Zone[J].Electronics Letters,1999,35(10):777-779.
[3]LONG B Q,ZHANG P,HU J D.A Generalized QS-CDMA System and the Design of New Spreading Codes[J].IEEETransactions Vehicular Technology,1998,47(4):1268-1275.
[4]赵晓群,何文才,王仲文.最佳二进阵列偶理论研究[J].电子学报,1999,27(1):34-37.ZHAO Xiao-qun,HE Wen-cai,WANG Zhong-wen.The Theory of the Binary Array Pairs[J].Journal of Electronic,1999,27(1):34-37.
[5]梁清梅,刘金明,许成谦.一种达到理论上限的新型扩频序列集[J].无线电工程,2006,30(10):27-30.LIANG Qing-mei,LIU Jin-ming,XU Cheng-qian.A Novel Spread Spectrum Sequence Set up to Upper Bound of Theory[J].Radio Engineering of China,2006,30(10):27-30.
[6]刘凯,许成谦,刘洺辛.由平方剩余差集与差集偶构造二元ZCZ序列偶集[J].北京邮电大学学报,2009,32(4):50-53.LIU Kai,XU Cheng-qian,LIU Ming-xin.Construction of Binary ZCZ Sequence Pair Based on Quadratic Difference Set andDifference Set Pair[J].Journal of Beijing University of Post and Telecommunications,2009,32(4):50-53.
[7]许蕾,蒋挺,周正.最佳屏蔽二进序列偶在低/零相关区中的应用研究[J].通信学报,2006,27(10):19-24.XU Lei,JIANG Ting,ZHOU Zheng.Application Research of Perfect Punctured Binary Sequence Pair in LCZ/ZCZ[J].Journal of Communication,2006,27(10):19-24.
[8]李兆斌,魏占祯,池亚平.ZCZ屏蔽序列偶集的构造方法[J].北京邮电大学学报,2011,34(3):17-20.LI Zhao-bin,WEI Zhan-zhen,CHI Ya-ping.Construction Method of ZCZ Puncture Sequence Pair Set[J].Journal of BeijingUniversity of Post and Telecommunications,2011,34(3):17-20.
[9]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.Study on ZCZ Ternary Sequence Pair Based on Pseudo Random Sequence[J].Journal of Communication,2009,30(8):27-31.
[10]肖丽萍,许成谦.最佳几乎四相信号[J].吉林大学学报:工学版,2011,41(3):855-858.XIAO Li-ping,XU Cheng-qian.Perfect Almost-Quadphase Signal[J].Journal of Jilin University:Engineering andTechnology Edition,2011,41(3):855-858.
[11]王志华,柯品惠,张胜元.ZCZ序列偶集的构造研究[J].福建师范大学学报:自然科学版,2010,26(5):16-19.WANG Zhi-hua,KE Pin-hui,ZHANG Sheng-yuan.Study on the Construction of ZCZ Sequence Pair Set[J].Journal ofFujian Normal University:Natural Science Edition,2010,26(5):16-19.
[12]肖丽萍,李卫卫,许成谦.ZCZ序列偶集及大容量ZCZ序列偶集的构造[J].北京邮电大学学报,2010,33(5):89-93.XIAO Li-ping,LI Wei-wei,XU Cheng-qian.Construction of ZCZ Sequence Pairs Set and ZCZ Sequence Pairs Set with LargeFamily Size[J].Journal of Beijing University of Post and Telecommunications,2010,33(5):89-93.
[13]柯品惠,王志华,张胜元.基于交织方法的ZCZ阵列偶集的构造研究[J].电子与信息学报,2010,33(5):89-93.KE Pin-hui,WANG Zhi-hua,ZHANG Sheng-yuan.Construction of ZCZ Array Pairs Set by Interleaving Techniques[J].Journal of Electronic and Information,2010,33(5):89-93.
[14]高军萍,李琦,戴居丰,等.ZCZ阵列偶及构造方法研究[J].通信学报,2008,29(9):62-67.GAO Jun-ping,LI Qi,DAI Ju-feng,et al.Research of ZCZ Array Aair and Its Construction Method[J].Journal ofCommunication,2008,29(9):62-67.
[15]刘凯,许成谦,李刚.二元二值周期自相关序列偶的应用研究[J].电子信息学报,2009,31(7):1536-1541.LIU Kai,XU Cheng-qian,LI Gang.Application Research on Binary Sequence Pairs with Two-Level Periodic Autocorrelation[J].Journal of Electronic and Information,2009,31(7):1536-1541.