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Volume 31 Issue 7
Dec.  2010
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Liu Kai, Xu Cheng-qian, Li Gang. Research on Application of Binary Sequence Pair with Two-Level Periodic Autocorrelation[J]. Journal of Electronics & Information Technology, 2009, 31(7): 1536-1541. doi: 10.3724/SP.J.1146.2008.01474
Citation: Liu Kai, Xu Cheng-qian, Li Gang. Research on Application of Binary Sequence Pair with Two-Level Periodic Autocorrelation[J]. Journal of Electronics & Information Technology, 2009, 31(7): 1536-1541. doi: 10.3724/SP.J.1146.2008.01474

Research on Application of Binary Sequence Pair with Two-Level Periodic Autocorrelation

doi: 10.3724/SP.J.1146.2008.01474 cstr: 32379.14.SP.J.1146.2008.01474
  • Received Date: 2008-11-07
  • Rev Recd Date: 2009-04-20
  • Publish Date: 2009-07-19
  • A new concept of orthogonal matrix pair is presented, which is the extension of orthogonal matrix, and especially the binary orthogonal matrix pair is not restricted by the fact that the order of matrix should be the power of 2. Based on the binary sequence pair with two-level periodic autocorrelation, the binary orthogonal matrix pair and orthogonal sequence pair set are constructed. By interleaved technology, a new class of binary Zero Correlation Zone (ZCZ) sequence pair sets applied to Quasi-Synchronous Code Division Multiple Access (QS-CDMA) is constructed from the binary orthogonal matrix pair or orthogonal matrix and orthogonal sequence pair set. In order to achieve greater energy efficiency and upper theory bound of binary ZCZ sequence pair sets, it is necessary to select appropriate binary sequence pairs with two-level periodic autocorrelation.
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  • Xu Cheng-qian, Liu Kai, Li Gang, and Yu Wang-bo. Bianrysequence pairs with two-level autocorrelation functions[C].IEEE 2007 International Conference on WirelessCommunications, Networking and Mobile Computing,Shanghai, China, Sep. 21-25, 2007: 1361-1364.[2]Krengel E I. Family of uncorrelated binary ZCZ sequencepairs with mismatched filtering[J].Electronics Letters.2007,43(14):748-749[3]Trinh Q K.[J].Fan Ping-zhi, and Tang Xiao-hu. Sequence setwith zero correlation zones using mismatched filtering[C].Proceeding of IWSDA07, Chengdu, China.2007,:-[4]Matrsufuji S. Families of sequence pairs with zero correlationzone[J].IEICE Transactions Fundamentals of Electronics,Communications and Computer Sciences.2006, E89-A(11):3013-3017[5]赵晓群, 贾世楼, 王仲文. 序列偶及其应用[J]. 遥测遥控,1998, 19(3): 31-35.Zhao Xiao-qun, Jia Shi-lou, and Wang Zhong-wen. Sequencepairs and their application[J]. Journal of Telemetry, Trackingand Command, 1998, 19(3): 31-35.[6]许成谦. 差集偶与最佳二进阵列偶的组合研究方法[J]. 电子学报, 2001, 29(1): 87-89.Xu Cheng-qian. Difference set pairs and approach for thestudy of perfect binary array pairs[J]. Acta Electronica Sinica,2001, 29(1): 87-89.[7]Kenji Takatsukasa, Matrsufuji S, and Yoshihiro Tanada.Formalization of binary sequence sets with zero corrlationzone[J]. IEICE Transactions Fundamentals of Electronics,Communications and Computer Sciences, 2004, E87-A(4):887-891.[8]Hayashi Takafumi. Binary zero-correlation zone sequence setconstruction using a cyclic Hadamard sequence[J].IEICETransactions on Fundamentals of Electronics,Communications and Computer Sciences.2006, E89-A(10):2649-2655[9]Hayashi Takafumi. Binary zero-correlation zone sequence setconstruction using a primitive linear recursion[J].IEICETransactions on Fundamentals of Electronics,Communications and Computer Sciences.2005, E88-A(7):2034-2038[10]左会娟, 佟鑫, 温巧燕. 由完备序列构造零相关区序列集的方法[J]. 北京邮电大学学报, 2008, 31(4): 122-125.Zuo Hui-juan, Tong Xin, and Wen Qiao-yan. Constructionsof zcz sequence set from a perfect sequence[J]. Journal ofBeijing University of Posts and Telecommunications, 2008,31(4): 122-125.[11]Tang X H, Fan P Z, and Matsufuji S. Lower bounds oncorrelation of spreading sequence set with low or zerocorrelation zone[J].Electronics Letters.2000, 36(16):551-552[12]Li Gang, Xu Cheng-qian, Liu Kai, and Liang Qing-mei. Somenovel results on 1-dimension and 2-dimension sequence pairswith zero correlation zone[C]. 2007 Global Mobile Congress,Shanghai, China, 2007: 199-204.[13]Luke H D and Busboon A. Mismathed filtering ofodd-periodic binary sequences[J].IEEE Transactions onAerospace and Electronic Systems.1998, 34(4):1345-1349[14]Torii H. A new class of zero-correlation zone sequences[J].IEEE Transactions on Information Theory.2004, 50(3):559-565
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