新型零相关区序列偶集的交织构造
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摘要
为扩大准同步码分多址通信系统的地址码选择范围及减弱零相关区序列偶设计对相关参数的限制条件,基于任意一个长度大于4的最佳自相关序列(偶),运用交织技术和递归运算,提出了三类新型的零相关区序列偶集的构造方法.而且,在保持所构造的零相关区序列偶集中的序列偶数目不变的条件下,通过递归运算,可以将序列偶长度及零相关区宽度成倍扩展.同时,所构造的零相关区序列偶集接近理论边界,用于准同步码分多址通信系统可消除共信道干扰,提高通信质量.
In order to expand the choice of address codes of quasi-synchronous code division multiple access(QSCDMA) systems and to relax the limit on the related parameters,based on an arbitrary optimal sequence whose length is longer than 4,three classes of novel methods for constructing zero correlation zone(ZCZ) sequence pairs set are proposed via the interleaved technique and the recursive operation.In addition,the length of new sequence pairs and the ZCZ width can doubled through recursive operation,while keeping the number of the sequence pairs in the constructed ZCZ set unchanged.The constructed sequence pairs set in this paper is close to the theoretical bound,and thus once it is adopted to eliminate the co-channel interference in QSCDMA systems,the quality of system communication will be enhanced.
In order to expand the choice of address codes of quasi-synchronous code division multiple access(QSCDMA) systems and to relax the limit on the related parameters,based on an arbitrary optimal sequence whose length is longer than 4,three classes of novel methods for constructing zero correlation zone(ZCZ) sequence pairs set are proposed via the interleaved technique and the recursive operation.In addition,the length of new sequence pairs and the ZCZ width can doubled through recursive operation,while keeping the number of the sequence pairs in the constructed ZCZ set unchanged.The constructed sequence pairs set in this paper is close to the theoretical bound,and thus once it is adopted to eliminate the co-channel interference in QSCDMA systems,the quality of system communication will be enhanced.
引文
[1]Fan P Z,Hao L.Generalized orthogonal sequences and theirapplications in synchronous CDMA systems[J].IEICE Trans-actions on Fundamentals of Electronics,Communications andComputer Sciences,2000,E83-A(11):1-16.
[2]Deng X M,Fan P Z.Spreading sequence sets with zero correla-tion zone[J].Electronics Letters,2000,36(11):982-983.
[3]Matsufuji S.Two types polyphase sequence sets for approxi-mately synchronized CDMA systems[J].IEICE Transactions onFundamentals of Electronics,Communications and ComputerSciences,2003,E86-A(1):229-234.
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[6]Wang L Y,Zeng X L,Li Y F.The new construc-tion of ZCZ sequences based on interleaved perfect se-quences[C]//Proceedings of the 2009 International Forum onInformation Technology and Applications.Los Alamitos,CA,USA:IEEE Computer Society Press,2009:496-499.
[7]王龙业,唐小虎.基于交织方法的ZCZ序列设计[J].西南交通大学学报,2005,40(3):422-425.Wang L Y,Tang X H.Sequence design of zero correlation zonebased on interleaved technique[J].Journal of Southwest Jiao-tong University,2005,40(3):422-425.
[8]Peng D Y,Fan P Z,Suehiro N.Construction of sequences withlarge zero correlation zone[J].IEICE Transactions on Funda-mentals of Electronics,Communications and Computer Sci-ences,2005,E88-A(11):3256-3259.
[9]王龙业,唐小虎.零相关区序列的交织构造[J].西南交通大学学报,2006,40(3):319-323,340.Wang L Y,Tang X H.Sequence design of zero correlation zonebased on interleaved technique[J].Journal of Southwest Jiao-tong University,2006,41(3):319-323,340.
[10]王龙业,王献.基于交织最佳自相关序列的ZCZ序列设计[J].西南交通大学学报,2012,47(1):46-49.Wang L Y,Wang X.Design of zero correlation zone sequencesvia interleaving perfect sequence[J].Journal of Southwest Jiao-tong University,2012,47(1):46-49.
[11]Wang L Y,Zeng X L.A new class of sequences with zerocorrelation zone based on interleaving perfect sequence[C]//Proceedings of the 5th International Workshop on Signal De-sign and Its Applications in Communications.Piscataway,NJ,USA:IEEE,2011:29-31.
[12]Gong G.New designs for signal sets with low cross correlation,balance property,and large linear span:GF(p)case[J].IEEETransactions on Information Theory,2002,48(11):2847-2867.
[13]Gao J P,Li Q,Dai J F.A new construction technique of ZCZsequence pairs set[C]//Proceedings of the 2nd IET Communi-columnbreak cations Conference on Wireless Mobile and Sen-sor Networks.London,UK:IET,2007:970-973.
[14]Li Q,Gao J P,Zhao X Q.The application of the ZCZ sequencepairs set in QS-CDMA system[C]//Proceedings of the 3th In-ternational Workshop on Signal Design and Its Applications inCommunications.Piscataway,NJ,USA:IEEE,2007:288-291.
[15]Gao J P,Li Q,Li H,et al.The theory of ZCZ arraypairs[C]//Proceedings of the 4th International Conference onWireless Communications,Networking and Mobile Computing.Piscataway,NJ,USA:IEEE,2008:1-5.
[16]史仍辉,赵晓群,李立志.低相关区序列偶集的构造方法[J].信息与控制,2011,40(6):790-796.Shi R H,Zhao X Q,Li L Z.Construction method of low correla-tion zone sequence pairs set[J].Information and Control,2011,40(6):790-796.
[17]Shi R H,Zhao X Q,Li L Z.Research on construction method ofZCZ sequence pairs set[J].Journal of Convergence InformationTechnology,2011,6(1):15-23.
[18]Tang X H,Fan P Z,Matsufuji S.Lower bounds on correlationof spreading sequence set with low or zero correlation zone[J].Electronics Letters,2000,36(6):551-552.
[2]Deng X M,Fan P Z.Spreading sequence sets with zero correla-tion zone[J].Electronics Letters,2000,36(11):982-983.
[3]Matsufuji S.Two types polyphase sequence sets for approxi-mately synchronized CDMA systems[J].IEICE Transactions onFundamentals of Electronics,Communications and ComputerSciences,2003,E86-A(1):229-234.
[4]Hayashi T.Zero-correlation zone sequence set constructed froma perfect sequence[J].IEICE Transactions on Fundamentals ofElectronics,Communications and Computer Sciences,2007,E90-A(5):1-5.
[5]Tang X H,Mow W H.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.
[6]Wang L Y,Zeng X L,Li Y F.The new construc-tion of ZCZ sequences based on interleaved perfect se-quences[C]//Proceedings of the 2009 International Forum onInformation Technology and Applications.Los Alamitos,CA,USA:IEEE Computer Society Press,2009:496-499.
[7]王龙业,唐小虎.基于交织方法的ZCZ序列设计[J].西南交通大学学报,2005,40(3):422-425.Wang L Y,Tang X H.Sequence design of zero correlation zonebased on interleaved technique[J].Journal of Southwest Jiao-tong University,2005,40(3):422-425.
[8]Peng D Y,Fan P Z,Suehiro N.Construction of sequences withlarge zero correlation zone[J].IEICE Transactions on Funda-mentals of Electronics,Communications and Computer Sci-ences,2005,E88-A(11):3256-3259.
[9]王龙业,唐小虎.零相关区序列的交织构造[J].西南交通大学学报,2006,40(3):319-323,340.Wang L Y,Tang X H.Sequence design of zero correlation zonebased on interleaved technique[J].Journal of Southwest Jiao-tong University,2006,41(3):319-323,340.
[10]王龙业,王献.基于交织最佳自相关序列的ZCZ序列设计[J].西南交通大学学报,2012,47(1):46-49.Wang L Y,Wang X.Design of zero correlation zone sequencesvia interleaving perfect sequence[J].Journal of Southwest Jiao-tong University,2012,47(1):46-49.
[11]Wang L Y,Zeng X L.A new class of sequences with zerocorrelation zone based on interleaving perfect sequence[C]//Proceedings of the 5th International Workshop on Signal De-sign and Its Applications in Communications.Piscataway,NJ,USA:IEEE,2011:29-31.
[12]Gong G.New designs for signal sets with low cross correlation,balance property,and large linear span:GF(p)case[J].IEEETransactions on Information Theory,2002,48(11):2847-2867.
[13]Gao J P,Li Q,Dai J F.A new construction technique of ZCZsequence pairs set[C]//Proceedings of the 2nd IET Communi-columnbreak cations Conference on Wireless Mobile and Sen-sor Networks.London,UK:IET,2007:970-973.
[14]Li Q,Gao J P,Zhao X Q.The application of the ZCZ sequencepairs set in QS-CDMA system[C]//Proceedings of the 3th In-ternational Workshop on Signal Design and Its Applications inCommunications.Piscataway,NJ,USA:IEEE,2007:288-291.
[15]Gao J P,Li Q,Li H,et al.The theory of ZCZ arraypairs[C]//Proceedings of the 4th International Conference onWireless Communications,Networking and Mobile Computing.Piscataway,NJ,USA:IEEE,2008:1-5.
[16]史仍辉,赵晓群,李立志.低相关区序列偶集的构造方法[J].信息与控制,2011,40(6):790-796.Shi R H,Zhao X Q,Li L Z.Construction method of low correla-tion zone sequence pairs set[J].Information and Control,2011,40(6):790-796.
[17]Shi R H,Zhao X Q,Li L Z.Research on construction method ofZCZ sequence pairs set[J].Journal of Convergence InformationTechnology,2011,6(1):15-23.
[18]Tang X H,Fan P Z,Matsufuji S.Lower bounds on correlationof spreading sequence set with low or zero correlation zone[J].Electronics Letters,2000,36(6):551-552.