时频二维低/无碰撞区跳频序列集构造
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摘要
在通信系统中,跳频信号不仅会出现时延,还会存在频移。研究具有时频二维低/无碰撞区的跳频序列的构造。证明了Reed-Solomon(RS)码的时频二维周期汉明自相关函数的上界;提出了两种构造方法。第一种方法是基于RS码来构造时频二维周期低碰撞区跳频序列集。第二种方法利用矩阵来构造时频二维非周期无碰撞区跳频序列集。丰富了时频二维低/无碰撞区跳频序列的理论研究成果。
In the communication system,the frequency hopping signal not only has time shift,but also frequency shift.The construction of the frequency hopping sequence with the time-frequency two-dimensional low or no hit zone are studied.The upper bound of the time-frequency two-dimensional period Hamming auto-correlation function of Reed-Solomon(RS)codes is proved.Two methods of construction are proposed.The first method based on RS codes is to construct the period frequency hopping sequence set with the time-frequency two-dimensional low hit zone.The second method is to construct the aperiodic frequency hopping sequence set with the time-frequency two-dimensional no hit zone by matrix.These methods can enrich the theoretical results on the frequency hopping sequence with the time-frequency two-dimensional low or no hit zone.
In the communication system,the frequency hopping signal not only has time shift,but also frequency shift.The construction of the frequency hopping sequence with the time-frequency two-dimensional low or no hit zone are studied.The upper bound of the time-frequency two-dimensional period Hamming auto-correlation function of Reed-Solomon(RS)codes is proved.Two methods of construction are proposed.The first method based on RS codes is to construct the period frequency hopping sequence set with the time-frequency two-dimensional low hit zone.The second method is to construct the aperiodic frequency hopping sequence set with the time-frequency two-dimensional no hit zone by matrix.These methods can enrich the theoretical results on the frequency hopping sequence with the time-frequency two-dimensional low or no hit zone.
引文
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[12]叶文霞.无碰撞区跳频序列与准同步/消息驱动跳频通信系统研究[D].成都:西南交通大学,2011:31-40.YE W X.Investigation of no hit zone FH sequences,quasi-synchronous and message diven FH systems[D].Chengdu:Southwest Jiaotong University,2011:31-40.
[13]许成谦,马雅楠.时频低碰撞区跳频序列理论界的研究[J].燕山大学学报,2017,41(1):68-73.XU C Q,MA Y N.Theoretical bounds on low hit zone of timefrequency frequency hopping sequences[J].Journal of Yanshan University,2017,41(1):68-73.
[14]许成谦,马雅楠.二维时频低碰撞区跳频序列集的构造[J].系统工程与电子技术,2017,39(4):905-909.XU C Q,MA Y N.Construction of frequency hopping sequence set with two-dimensional time-frequency low hit zone[J].Systems Engineering and Electronics,2017,39(4):905-909.
[15]刘元慧,许成谦.两类跳频序列集时频二维汉明相关性的分析[J].系统工程与电子技术,2017,39(9):2132-2136.LIU Y H,XU C Q.Analysis of time-frequency two-dimensional Hamming correlation of two frequency hopping sequence sets[J].Systems Engineering and Electronics,2017,39(9):2132-2136.
[2]ZENG Q,PENG D,WANG X.Performance of a novel MFSK/FHMA system employing no-hit zone sequence set over rayleigh fading channel[J].IEICE Trans.on Communications,2011,94-B(2):526-532
[3]CHUNG J,HAN Y K,YANG K.No-hit-zone frequencyhopping sequence sets with optimal hamming autocorrelation[J].IEICE Trans.on Fundamentals of Electronics,Communications and Computer Sciences,2010,E93-A(11):2239-2244.
[4]MA W P,SUN S H.New designs of frequency hopping sequences with low hit zone[J].Designs Codes and Cryptography,2011,60(2):145-153.
[5]CHUNG J,YANG K.New Classes of optimal low-hit-zone frequency-hopping sequence sets by cartesian product[J].IEEE Trans.on Information Theory,2013,59(1):726-732.
[6]HAN H,PENG D,PARAMPALLI U,et al.Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques[J].Designs Codes and Cryptography,2017,84(3):401-414.
[7]LIU X,PENG D,HAN H.Low-hit-zone frequency hopping sequence sets with optimal partial Hamming correlation properties[J].Designs,Codes and Cryptography,2014,73(1):167-176.
[8]WANG C Y,PENG D Y,HAN H Y,et al.New sets of low-hit-zone frequency-hopping sequence with optimal maximum periodic partial Hamming correlation[J].Science China Information Sciences,2015,36(2):1-15.
[9]WANG C Y,PENG D Y,ZHOU L M N.New constructions of optimal frequency-hopping sequence sets with low-hit-zone[J].International Journal of Foundations of Computer Science,2016,27(1):53-66.
[10]MERSEREAU R M,SEAY T S.Multiple access frequencyhopping patterns with low ambiguity[J].IEEE Trans.on Aerospace and Electronic Systems,1981,17(4):571-578.
[11]姚建国,王玉峰,衡伟.Golomb Costas序列的结构及其在OFDM系统中的应用[J].通信学报,2013,34(7):1-13.YAO J G,WANG Y F,HENG W.Constructions of Golomb Costas arrays and their applications in OFDM systems[J].Journal on Communications,2013,34(7):1-13.
[12]叶文霞.无碰撞区跳频序列与准同步/消息驱动跳频通信系统研究[D].成都:西南交通大学,2011:31-40.YE W X.Investigation of no hit zone FH sequences,quasi-synchronous and message diven FH systems[D].Chengdu:Southwest Jiaotong University,2011:31-40.
[13]许成谦,马雅楠.时频低碰撞区跳频序列理论界的研究[J].燕山大学学报,2017,41(1):68-73.XU C Q,MA Y N.Theoretical bounds on low hit zone of timefrequency frequency hopping sequences[J].Journal of Yanshan University,2017,41(1):68-73.
[14]许成谦,马雅楠.二维时频低碰撞区跳频序列集的构造[J].系统工程与电子技术,2017,39(4):905-909.XU C Q,MA Y N.Construction of frequency hopping sequence set with two-dimensional time-frequency low hit zone[J].Systems Engineering and Electronics,2017,39(4):905-909.
[15]刘元慧,许成谦.两类跳频序列集时频二维汉明相关性的分析[J].系统工程与电子技术,2017,39(9):2132-2136.LIU Y H,XU C Q.Analysis of time-frequency two-dimensional Hamming correlation of two frequency hopping sequence sets[J].Systems Engineering and Electronics,2017,39(9):2132-2136.