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零相关区序列集与零相关区序列偶集的构造方法研究

The Research for the Construction Method of ZCZ Sequence Set and ZCZ Sequence Pair Set

【作者】 吴琰

【导师】 许成谦;

【作者基本信息】 燕山大学 , 通信与信息系统, 2011, 硕士

【摘要】 最佳离散信号及其设计在现代通信、雷达、声纳、制导、以及电子对抗等系统中,起着越来越重要的作用。经过几十年的努力,人们在最佳离散信号的研究上已取得了大量的重要成果。第三代通信系统(3G)都是基于多址技术,为了消除多用户无线通信系统中的多径干扰与多址干扰,因此对于扩频码的数量以及质量的要求与日俱增,这就使得我们不得不想尽办法来增加性能优良的扩频码的存在空间。本文中主要应用迭代法以及交织技术构造序列及序列偶,主要工作如下:首先,针对多载波码分多址通信系统提出来的零相关互补序列集,它不仅具有较多的子序列而且与传统的零相关区序列集相比具有更好的相关性,从而具有更好的抗干扰能力。从集合的角度,给出了ZCZ(Zero Correlation Zone)互补序列集以及相关定义。提出了一种基于互补序列和正交矩阵通过交织技术的方法来构造零相关互补序列集的方法,并给出了证明及实例。其次,利用差集偶构造最佳二元序列偶并产生移位序列,随后与Hadamard矩阵交织构造出迭代初始序列偶,再进行迭代生成长度更长的ZCZ序列偶,并给出了证明、性能分析以及实例。最后,将正交矩阵偶运用到ZCZ序列偶的构造中,并且给出了利用最佳二元序列偶构造正交矩阵偶的方法,最后正交矩阵偶通过综合应用插值、级联、交织、迭代等方法构造含有更多子序列且相关性良好的ZCZ序列偶集;利用正交矩阵偶对基于差集偶构造ZCZ序列偶的方法进行简化,并给出证明、性能分析以及实例。

【Abstract】 The perfect discrete signal and its design method play an important role in the optimizing design in the area of modernistic communication, radar, sonar, navigation and electronically antagonism systems.A number of important results on research of the perfect discrete signal are printed during decades development of the research.The third generation communication system(3G) are based on the multiple access technology,and multipath interference and multiple access interference need to be eliminated in multi-user wireless communication system.So the demand of quantity and quality of spreading codes is increasing, which makes us have to find ways to increase the survived space of spreading code of the pefect performance. The construction of the sequence or the sequence pairs in this article,is mainly based on the iterative method and the interleaving technique, the main work as follow:First,the concept of ZCZ complement sequence set is presented for multi-carrier code division multiple accesscommunication systems.The set has more subsequences and more correlation than traditional sequence set,then has stronger ability to resist multi-path interference and multiple access interference. From set view,the set of ZCZ complement sequence and related definitions are proposed.In this article,the method of construction of ZCZ complement sequence set which make use of interleaving technique based on complement sequence and orthogonal matrix is proposed,and the poof and examples given.Secondly, the introduction of the concept and definition of difference set pair, pefect binary sequence pairs and shift sequences are produced by difference set pairs, and then initial iteration sequence pairs which constructed from Hadamard matrix form a longer length the ZCZ sequence pair through iterative technique, at last proof, performance analysis and examples of it given. Finally, in the construction of ZCZ sequence pairs, the concept of the orthogonal matrix pair is applied. The construction of orthogonal matrix pair is proposed by method which based on pefect binary sequence pairs,and then comprehensive application of the methods of interpolation, concatenation, interleaving,iterative,then more subsequences and pefect correlation ZCZ sequence pairs are constructed from orthogonal matrix pair;the method of the construction of ZCZ sequence pair based on difference set pairs is simplified by orthogonal matrix pair,and at last proof, performance analysis and examples of it given.

  • 【网络出版投稿人】 燕山大学
  • 【网络出版年期】2011年 10期
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