基于交织法的不等价低零相关区序列集设计
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摘要
本文给出两种新的移位序列集的构造方法,同时计算出不等价移位序列集数量的上界.提出移位序列起始点和初始距离的概念,CBIID方法通过设计合适的初始距离构造多个不等价移位序列集,可以利用交织技术获得多个不等价低零相关区序列集,该方法灵活选择起始点,是对现有不等价移位序列构造方法的扩展.CBVID方法以此为基础,并在一个移位序列集合中基于不同的初始距离构造移位序列,增加了移位不等价低零相关区序列集合的数量,与现有方法相比,可以构造更多的适合多小区准同步码分多址通信系统的扩频序列集,不同小区分配的低零相关区序列集移位不等价,降低不同小区间用户的干扰.
Two new constructions of shift sequence are proposed and the upper bound of the shift distinct sequence sets is computed.The concepts of initial point and initial distance are presented.CBIID selects initial point arbitrarily and multiple distinct shift sequence sets are obtained by designing suitable initial distance.By utilizing interleaving technique one can get multiple shift distinct low-correlation zone or zero-correlation zone(LCZ/ZCZ)sequence sets.The initial point is selected flexibly,so it is the expansion of the existing methods.CBVID,which is based on CBIID,designs shift sequence based on different initial distance in a shift sequence set.It can gain more spread-spectrum sequences for quasi-synchronous code-division multiple-access(QS-CDMA)system compared with previous constructions.Shift distinct LCZ/ZCZ sequence sets are allocated to different cells to reduce interference.
Two new constructions of shift sequence are proposed and the upper bound of the shift distinct sequence sets is computed.The concepts of initial point and initial distance are presented.CBIID selects initial point arbitrarily and multiple distinct shift sequence sets are obtained by designing suitable initial distance.By utilizing interleaving technique one can get multiple shift distinct low-correlation zone or zero-correlation zone(LCZ/ZCZ)sequence sets.The initial point is selected flexibly,so it is the expansion of the existing methods.CBVID,which is based on CBIID,designs shift sequence based on different initial distance in a shift sequence set.It can gain more spread-spectrum sequences for quasi-synchronous code-division multiple-access(QS-CDMA)system compared with previous constructions.Shift distinct LCZ/ZCZ sequence sets are allocated to different cells to reduce interference.
引文
[1]X H Tang,W H Mow.A new systematic construction of zerocorrelation zone sequences based on interleaved perfect se-quences[J].IEEE Transactions on Information Theory,2008,54(12):5729-5734.
[2]江文峰,曾祥勇,胡磊.一类零相关区序列集构造方法的改进[J].电子学报,2005,33(8):1476-1479.JANG Wen-feng,ZENG Xiangyong,HU Lei.An improvedmethod of construction ZCZ sequence sets[J].Acta ElectronicaSinica,2005,33(8):1476-1479.(in Chinese)
[3]X H Tang,P Z Fan,J Lindner.Multiple binary ZCZ sequencesets with good cross correlation property based on complemen-tary sequence sets[J].IEEE Transactions on Information Theo-ry,2010,56(8):4038-4045.
[4]李兆斌,等.ZCZ屏蔽阵列偶集的研究[J].电子学报,2009,37(3):489-493.LI Zhao-bin,et al.Study on ZCZ punctured array pairs set[J].Acta Electronica Sinica,2009,37(3):489-493.(in Chinese)
[5]G Gong.Theory and applications of q-ary interleaved sequences[J].IEEE Trans on Information Theory,1995,41(2):400-411.
[6]G Gong.New designs for signal sets wirh low cross correlation,balance property,and large linear span:GF(p)case[J].IEEETrans on Information Theory,2002,48(11):2847-2867.
[7]T Hayashi.Zero-correlation zone sequence set constructed froma perfect sequence[J].IEICE Trans on Fundamentals Electron-ics,Communications and Computer Sciences,2007,E90-A(5):1107-1111.
[8]Z C Zhou,Z Pan,X H Tang.A new family of optimal zerocorrelation zone sequences from perfect sequences based on in-terleaved technique[A].Proceedings of the Third InternationalWorkshop on Signal Design and Its Applications in Commun-ications(IWSDA)[C].Chengdu,China,2007.195-199.
[9]Z C Zhou,X H Tang.A new classes of sequences with zero orlow correlation based on interleaving technique[J].IEEE Transon Information Theory,2008,54(9):4267-4273.
[10]H G Hu,G Gong.New sets of zero or low correlation zonesequences via interleaving techniques[J].IEEE Trans on In-formation Theory,2010,56(4):1702-1713.
[11]李玉博,许成谦.交织法构造移位不等价的ZCZ/LCZ序列集[J].电子学报,2011,39(4):796-802.Li Yu-bo,Xu Cheng-qian.Construction of cyclically distinctZCZ/LCZ sequence sets based on interleaving technique[J].Acta Electronica Sinica,2011,39(4):796-802.(in Chinese)
[2]江文峰,曾祥勇,胡磊.一类零相关区序列集构造方法的改进[J].电子学报,2005,33(8):1476-1479.JANG Wen-feng,ZENG Xiangyong,HU Lei.An improvedmethod of construction ZCZ sequence sets[J].Acta ElectronicaSinica,2005,33(8):1476-1479.(in Chinese)
[3]X H Tang,P Z Fan,J Lindner.Multiple binary ZCZ sequencesets with good cross correlation property based on complemen-tary sequence sets[J].IEEE Transactions on Information Theo-ry,2010,56(8):4038-4045.
[4]李兆斌,等.ZCZ屏蔽阵列偶集的研究[J].电子学报,2009,37(3):489-493.LI Zhao-bin,et al.Study on ZCZ punctured array pairs set[J].Acta Electronica Sinica,2009,37(3):489-493.(in Chinese)
[5]G Gong.Theory and applications of q-ary interleaved sequences[J].IEEE Trans on Information Theory,1995,41(2):400-411.
[6]G Gong.New designs for signal sets wirh low cross correlation,balance property,and large linear span:GF(p)case[J].IEEETrans on Information Theory,2002,48(11):2847-2867.
[7]T Hayashi.Zero-correlation zone sequence set constructed froma perfect sequence[J].IEICE Trans on Fundamentals Electron-ics,Communications and Computer Sciences,2007,E90-A(5):1107-1111.
[8]Z C Zhou,Z Pan,X H Tang.A new family of optimal zerocorrelation zone sequences from perfect sequences based on in-terleaved technique[A].Proceedings of the Third InternationalWorkshop on Signal Design and Its Applications in Commun-ications(IWSDA)[C].Chengdu,China,2007.195-199.
[9]Z C Zhou,X H Tang.A new classes of sequences with zero orlow correlation based on interleaving technique[J].IEEE Transon Information Theory,2008,54(9):4267-4273.
[10]H G Hu,G Gong.New sets of zero or low correlation zonesequences via interleaving techniques[J].IEEE Trans on In-formation Theory,2010,56(4):1702-1713.
[11]李玉博,许成谦.交织法构造移位不等价的ZCZ/LCZ序列集[J].电子学报,2011,39(4):796-802.Li Yu-bo,Xu Cheng-qian.Construction of cyclically distinctZCZ/LCZ sequence sets based on interleaving technique[J].Acta Electronica Sinica,2011,39(4):796-802.(in Chinese)