基于有符号移位序列的零相关区互补序列集交织构造方法
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摘要
提出有符号的移位序列,将移位序列分为移位和符号两部分,并基于此提出一种零相关区互补序列集的交织构造方法。该方法利用完备互补序列对作为初始序列,根据初始序列与移位序列长度的关系分2种情况构造移位序列。第1种情况,二者长度互素,分析并证明移位序列中未引入与引入1个、2个负号后新序列对相关函数的分布情况,提出当移位序列长度为3时,获得完备互补序列集的方法;第2种情况,移位序列长度被初始序列长度整除,当移位序列长度为偶数时,提出获得完备互补序列集的方法。实例仿真证明了以上构造的有效性。
Signed shift sequence which constitutes of shift and sign is derived and based on which an interleaving construction method of zero correlation zone( ZCZ) complementary sequence set is proposed in this paper. It employs complete complementary sequence pair as the original sequence and designs shift sequences for two different situations according to the lengths of the original sequence and the shift sequence. In the former,the lengths are coprime; the distribution of the correlation function when shift sequence has no negative; one negative and two negatives are analyzed and validated and a complete complementary sequence set construction method is derived as the length of the shift sequence is 3. In the latter,the length of the original sequence is dividable by the length of the shift sequence; when the length of the shift sequence is even,a complete complementary sequence set construction method is derived. Example simulation validates the effectiveness of the construction.
Signed shift sequence which constitutes of shift and sign is derived and based on which an interleaving construction method of zero correlation zone( ZCZ) complementary sequence set is proposed in this paper. It employs complete complementary sequence pair as the original sequence and designs shift sequences for two different situations according to the lengths of the original sequence and the shift sequence. In the former,the lengths are coprime; the distribution of the correlation function when shift sequence has no negative; one negative and two negatives are analyzed and validated and a complete complementary sequence set construction method is derived as the length of the shift sequence is 3. In the latter,the length of the original sequence is dividable by the length of the shift sequence; when the length of the shift sequence is even,a complete complementary sequence set construction method is derived. Example simulation validates the effectiveness of the construction.
引文
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[15]ZHOU Z C,TANG X H.A new class of sequences with zero or low correlation zone based on interleaving technique[J].IEEE Transactions on Information Theory,2008,54(9):4267-4273.
[2]FENG K Q,SHIUE P J S,XIANG Q.On aperiodic and periodic complementary binary sequences[J].IEEE Transactions on Information Theory,1999,45(1):296-303.
[3]FAN P Z,YUAN W N,TU Y F.Z-Complementary Binary Sequences[J].IEEE Signal Processing Letters,2007,14(8):509-512.
[4]FENG L F,FAN P Z,ZHOU X W.Lower bounds on correlation of Z-Complementary code sets[J].Wireless Personal Communications,2013,72(2):1475-1488.
[5]TU Y F,FAN P Z,HAO L,et al.A Simple Method for Generating Optimal-Periodic Complementary Sequence Set Based on Phase Shift[J].IEEE Signal Processing Letters,2010,17(10):891-893.
[6]ZHANG Z Y,ZENG F X,XUAN G X.Construction of Periodic Complementary Multiphase Sequences Based on Perfect Sequences[J].International Journal of Wireless and Microwave Technologies,2012,4(1):65-72.
[7]ZENG Fanxin,ZENG Xiaoping,ZENG Xiangyong,et al.Quaternary Golay Complementary Sequences Derived from Binary Golay Complementary Sequences[C]//IEEE.Wireless Communications,Networking and Mobile Computing(Wi COM),2012 8th International Conference on.New York,USA:IEEE Press,2012:1-4.
[8]ZENG F X,ZENG X P,ZHANG Z Y,et al.Almost Perfect Sequences and Periodic Complementary Sequence Pairs over the 16-QAM Constellation[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2012,95(1):400-405.
[9]ZENG F X,ZENG X P,ZHANG Z Y,et al.New Constructions of 16-QAM Periodic Complementary Sequences[J].IEEE Communication Letters,2012,15(12):2040-2043.
[10]ZHANG Z Y,ZENG F X,XUAN G X.A Class of Complementary Sequences with Multi-Width Zero Cross-Correlation Zone[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2010,93(8):1508-1517.
[11]李明阳,柏鹏,王徐华,等.基于交织的零相关区序列偶集构造方法[J].电子与信息学报,2013,35(5):1044-1048.LI M Y,BAI P,WANG X H,et al.Research of Zero Correlation Zone Sequence Pairs Set Construction Method Based on Interleaving Technique[J].Journal of Electronics&Information Technology,2013,35(5):1044-1048.
[12]CHEN X Y,XU C Q,LI Y B,et al.Construction of Shift Distinct Sequence Sets with Zero or Low Correlation Zone[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2013,96(1):377-382.
[13]刘凯,俞赛,李玉博.二维四元零相关区周期互补阵列集构造法[J].系统工程与电子技术,2013,35(5):924-929.LIU K,YU S,LI Y B.Construction of two-dimensional quaternary periodic complementary array sets with zero correlation zone[J].Systems Engineering and Electronics,2013,35(5):924-929.
[14]李玉博,许成谦,李刚.二元及四元零相关区周期互补序列集构造法[J].电子与信息学报,2012,34(1):115-120.LI Y B,XU C Q,LI G.Constructions of Binary and Quaternary Periodic Complementary Sequence Sets with Zero Correlation Zone[J].Journal of Electronics&Information Technology,2012,34(1):115-120.
[15]ZHOU Z C,TANG X H.A new class of sequences with zero or low correlation zone based on interleaving technique[J].IEEE Transactions on Information Theory,2008,54(9):4267-4273.