新的零相关区周期互补序列集的构造方法
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摘要
为了构造更多符合码分多址(CDMA)系统的扩频序列,提出了两种方法.方法1,提出了通过对零相关区长度进行赋值获得一类新的移位序列,在此基础上,利用完备序列的相关特性和Hadamard正交矩阵在结构上的特点,结合交织技术构造出新的零相关区周期互补序列集.此方法可根据不同系统的要求去调节零相关区的长度,使其应用范围更广.方法 2,将零相关区序列集作为初始序列,结合了Hadamard矩阵与交织技术,扩大了零相关区的长度.两种方法均扩大了序列集的数目,在准同步码分多址系统中可以支持更多用户同时工作.
We propose two methods for constructing more spread sequences that conform to code-division multiple access (CDMA) systems. The first method involves the construction of new shift sequences by assigning different values to the length of the zero correlation zone. Based on these shift sequences,we construct new periodic complementary sequence sets with a zero correlation zone by utilizing the correlation properties of the perfect sequence,and combining the structural characteristics of the Hadamard orthogonal matrix with the interleaving technique. This method can adjust the length of the zero correlation zone,based on the requirements of different systems to accommodate a wider range of applications. In the second method,zero-correlationzone sequence sets are used as the initial sequence,and the Hadamard matrix is combined with the interleaving technique to expand the length of the zero correlation region. In both methods,the number of sequence sets is expanded so that more users can be supported at the same time in quasi-synchronous CDMA systems.
We propose two methods for constructing more spread sequences that conform to code-division multiple access (CDMA) systems. The first method involves the construction of new shift sequences by assigning different values to the length of the zero correlation zone. Based on these shift sequences,we construct new periodic complementary sequence sets with a zero correlation zone by utilizing the correlation properties of the perfect sequence,and combining the structural characteristics of the Hadamard orthogonal matrix with the interleaving technique. This method can adjust the length of the zero correlation zone,based on the requirements of different systems to accommodate a wider range of applications. In the second method,zero-correlationzone sequence sets are used as the initial sequence,and the Hadamard matrix is combined with the interleaving technique to expand the length of the zero correlation region. In both methods,the number of sequence sets is expanded so that more users can be supported at the same time in quasi-synchronous CDMA systems.
引文
[1]Fan P Z,Yuan W N,Tu Y F.Z-complementary binary sequences[J].IEEE Signal Processing Letters,2007,14(8):509-512.
[2]Li X D,Fan P Z,Tang X H,et al.Quadriphase Z-complementary sequences[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2010,E93-A(11):2251-2257.
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[5]李玉博,许成谦.迭代法构造零相关区互补序列集[J].通信学报,2011,32(8):39-54.Li Y B,Xu C Q.Zero-correlation zone complementary sets based on iteration[J].Journal on Communications,2011,32(8):39-54.
[6]Tu Y F,Fan P Z,Li H.et al.A simple method for generating optimal Z-periodic complementary sequence set based on phase shift[J].IEEESignal Processing Letters,2010,17(10):891-893.
[7]Feng L F,Zhou X W,Fan P Z.A construction of inter-group complementary codes with flexible ZCZ length[J].Journal of Zhejiang University-Science C(Computers&Electronics),2011,12(10):846-854.
[8]李玉博,许成谦,刘凯,等.一类多相零相关区周期互补序列集构造法[J].电子与信息学报,2014,36(2):341-345.Li Y B,Xu C Q,Liu K,et al.A construction method of polyphase periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(2):341-345.
[9]刘涛,许成谦,李玉博.一类相互正交的最佳二元零相关区序列集构造法[J].电子与信息学报,2017,39(10):2443-2448.Liu T,Xu C Q,Li Y B.Construction of optimal mutually orthogonal sets of binary zero correlation zone sequences[J].Journal of Electronics&Information Technology,2017,39(10):2443-2448.
[10]Li Y B,Xu C Q,Jing N.et al.Constructions of Z-periodic complementary sequence set with flexible flock size[J].IEEE Communications Letters,2014,18(2):201-204.
[11]李玉博,许成谦,荆楠,等.具有灵活子序列数目的零相关区周期互补序列集构造法[J].通信学报,2015,36(2):491-494.Li Y B,Xu C Q,Jing N,et al.Construction of ZCZ periodic complementary sequence set with flexible subsequences[J].Journal on Communications,2015,36(2):491-494.
[12]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.
[13]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 Y B,Xu C Q.Construction of cyclically distinct ZCZ/LCZ sequence sets based on interleaving technique[J].Acta Electronica Sinica,2011,39(4):796-802.
[14]李玉博,许成谦.交织法构造最佳或几乎最佳低零相关区序列集[J].电子与信息学报,2011,33(3):549-554.Li Y B,Xu C Q.Construction of optimal or almost optimal sequence sets with zero or low correlation zone based on interleaving technique[J].Journal of Electronics&Information Technology,2011,33(3):549-554.
[15]Li Y B,Xu C Q.Construction of Two-dimensional periodic complementary array set with zero-correlation zone[C]//Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications.Piscataway,NJ,USA:IEEE,2011:10-14.
[16]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.
[17]李琦,秦丽伟,高军萍,等.交织法构造零相关区周期互补序列偶集[J].河北工业大学学报,2014,43(5):21-26.Li Q,Qin L W,Gao J P,et al.Construction of zero correlation zone periodic complementary sequence pairs sets based on interleaving technique[J].Journal of Hebei University of Technology,2014,43(5):21-26.
[18]王业龙,曾晓莉,许成谦,等.新型零相关区序列偶集的交织构造[J].信息与控制,2013,42(1):77-83.Wang Y L,Zeng X L,Xu C Q,et al.A novel method of sequence pairs set with zero correlation zone based on interleaved technique[J].Information and Control,2013,42(1):77-83.
[19]李明阳,柏鹏,王徐华,等.基于交织和完备序列的零相关区序列集构造方法[J].南京邮电大学学报(自然科学版),2014,34(6):52-56.Li M Y,Bai P,Wang X H,et al.Construction method for zero correlation zone sequence set based on interleaving technique and perfect sequence[J].Journal of Nanjing University of Posts and Telecommunications(Natural Science),2014,34(6):52-56.
[20]刘凯,姜昆.交织法构造高斯整数零相关区序列集[J].电子与信息学报,2017,39(2):328-334.Liu K,Jiang K.Construction of Gaussian integer sequence sets with zero correlation zone based on interleaving technique[J].Journal of Electronics&Information Technology,2017,39(2):328-334.
[21]Ke P H,Zhou Z C.A generic construction of Z-periodic complementary sequence sets with flexible flock size and zero correlation zone length[J].IEEE Signal Processing Letters,2015,22(9):1462-1466.
[2]Li X D,Fan P Z,Tang X H,et al.Quadriphase Z-complementary sequences[J].IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences,2010,E93-A(11):2251-2257.
[3]Zhang Z Y,Chen W,Zeng F X,et al.Z-complementary sets based on sequences with periodic and aperiodic zero correlation zone[J].EURASIP Journal on Wireless Communications and Networking,2009,48(26):1-8.
[4]张振宇,陈卫,曾凡鑫,等.一类适用于多小区CDMA系统的互补码集[J].系统工程与电子技术,2010,32(3):459-462.Zhang Z Y,Chen W,Zeng F X,et al.A set of complementary codes for multi-cellular CDMA systems[J].Systems Engineering and Electronics,2010,32(3):459-462.
[5]李玉博,许成谦.迭代法构造零相关区互补序列集[J].通信学报,2011,32(8):39-54.Li Y B,Xu C Q.Zero-correlation zone complementary sets based on iteration[J].Journal on Communications,2011,32(8):39-54.
[6]Tu Y F,Fan P Z,Li H.et al.A simple method for generating optimal Z-periodic complementary sequence set based on phase shift[J].IEEESignal Processing Letters,2010,17(10):891-893.
[7]Feng L F,Zhou X W,Fan P Z.A construction of inter-group complementary codes with flexible ZCZ length[J].Journal of Zhejiang University-Science C(Computers&Electronics),2011,12(10):846-854.
[8]李玉博,许成谦,刘凯,等.一类多相零相关区周期互补序列集构造法[J].电子与信息学报,2014,36(2):341-345.Li Y B,Xu C Q,Liu K,et al.A construction method of polyphase periodic complementary sequence sets with zero correlation zone[J].Journal of Electronics&Information Technology,2014,36(2):341-345.
[9]刘涛,许成谦,李玉博.一类相互正交的最佳二元零相关区序列集构造法[J].电子与信息学报,2017,39(10):2443-2448.Liu T,Xu C Q,Li Y B.Construction of optimal mutually orthogonal sets of binary zero correlation zone sequences[J].Journal of Electronics&Information Technology,2017,39(10):2443-2448.
[10]Li Y B,Xu C Q,Jing N.et al.Constructions of Z-periodic complementary sequence set with flexible flock size[J].IEEE Communications Letters,2014,18(2):201-204.
[11]李玉博,许成谦,荆楠,等.具有灵活子序列数目的零相关区周期互补序列集构造法[J].通信学报,2015,36(2):491-494.Li Y B,Xu C Q,Jing N,et al.Construction of ZCZ periodic complementary sequence set with flexible subsequences[J].Journal on Communications,2015,36(2):491-494.
[12]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.
[13]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 Y B,Xu C Q.Construction of cyclically distinct ZCZ/LCZ sequence sets based on interleaving technique[J].Acta Electronica Sinica,2011,39(4):796-802.
[14]李玉博,许成谦.交织法构造最佳或几乎最佳低零相关区序列集[J].电子与信息学报,2011,33(3):549-554.Li Y B,Xu C Q.Construction of optimal or almost optimal sequence sets with zero or low correlation zone based on interleaving technique[J].Journal of Electronics&Information Technology,2011,33(3):549-554.
[15]Li Y B,Xu C Q.Construction of Two-dimensional periodic complementary array set with zero-correlation zone[C]//Proceedings of the Fifth International Workshop on Signal Design and Its Applications in Communications.Piscataway,NJ,USA:IEEE,2011:10-14.
[16]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.
[17]李琦,秦丽伟,高军萍,等.交织法构造零相关区周期互补序列偶集[J].河北工业大学学报,2014,43(5):21-26.Li Q,Qin L W,Gao J P,et al.Construction of zero correlation zone periodic complementary sequence pairs sets based on interleaving technique[J].Journal of Hebei University of Technology,2014,43(5):21-26.
[18]王业龙,曾晓莉,许成谦,等.新型零相关区序列偶集的交织构造[J].信息与控制,2013,42(1):77-83.Wang Y L,Zeng X L,Xu C Q,et al.A novel method of sequence pairs set with zero correlation zone based on interleaved technique[J].Information and Control,2013,42(1):77-83.
[19]李明阳,柏鹏,王徐华,等.基于交织和完备序列的零相关区序列集构造方法[J].南京邮电大学学报(自然科学版),2014,34(6):52-56.Li M Y,Bai P,Wang X H,et al.Construction method for zero correlation zone sequence set based on interleaving technique and perfect sequence[J].Journal of Nanjing University of Posts and Telecommunications(Natural Science),2014,34(6):52-56.
[20]刘凯,姜昆.交织法构造高斯整数零相关区序列集[J].电子与信息学报,2017,39(2):328-334.Liu K,Jiang K.Construction of Gaussian integer sequence sets with zero correlation zone based on interleaving technique[J].Journal of Electronics&Information Technology,2017,39(2):328-334.
[21]Ke P H,Zhou Z C.A generic construction of Z-periodic complementary sequence sets with flexible flock size and zero correlation zone length[J].IEEE Signal Processing Letters,2015,22(9):1462-1466.