多长度光正交码的组合构造

发布时间：2018-04-16 00:31

本文选题：光码分多址(OCDMA) + 多长度光正交码　；参考：《江南大学》2017年硕士论文

【摘要】：光码分多址(OCDMA)技术是一种扩频通信技术,允许多用户在同一宽带光信道上传输信息。它具有抗干扰强、保密性好等优势,最先用于军事通信领域,后来被广泛运用于卫星、移动等通信中。光码分多址系统的研究焦点之一是光地址码的构造与设计。1989年,Chung等提出了一维光正交码(1-D OOC)的概念,从而提供了一个有效构造光地址码的方法。随后,光正交码的研究吸引了国内外众多学者的兴趣,研究结果也非常丰富。近年来,为了满足码分多址光纤网络中带有不同信号速率和服务质量的多媒体(如数字、图像和声音等)传输需求,学术界的研究兴趣从具有相同长度的光正交码转向了多种长度的光正交码(MLODC).简单来讲,一个相关性好的多长度光正交码是若干个不同长度一维光正交码的有机组合。本文重点研究重量为3,相关函数值足够小的多长度光正交码的最优性和组合构造。在第三章中,我们建立了若干MLOOC新的上界,为最优码的构造提供了评判标准。另外,多篇文献研究了当r三1(mod 2)时,最优({n,nr},M,3,1; 2)-MLOOC的构造方法和存在性。但是当r三0(mod 2)时,最优({n,nr},M,3,1; 2)-MLOOC的构造变得非常困难,相关结果非常的少。在第四章中,我们将利用带洞循环差矩阵,通过精确分析加权后组合构型的内部结构,建立构造方法,得到了若干新的最优({n,nr},M,3,1; 2)-MLOOC的无穷系列,这里r≡0(mod 2)。第五章还建立了几类三种及三种以上长度最优多长度光正交码的构造方法和存在性。
[Abstract]:Optical code division multiple access (OCDMA) is a spread spectrum communication technology that allows multiple users to transmit information over the same broadband optical channel.It has the advantages of strong anti-interference and good confidentiality. It was first used in military communication field, and then widely used in satellite, mobile and other communications.One of the research focuses of optical code division multiple access system is the construction and design of optical address code. In 1989, Chung and others put forward the concept of one-dimensional optical orthogonal code (1-D OOC), thus providing an effective method for constructing optical address code.Subsequently, the research of optical orthogonal codes has attracted the interest of many scholars at home and abroad, and the research results are also very rich.In recent years, in order to meet the transmission requirements of multimedia (such as digital, image and sound) with different signal rates and quality of service in CDMA optical networks,The research interest of academic circles has changed from optical orthogonal codes with the same length to optical orthogonal codes with various lengths.In brief, a multi-length optical orthogonal code with good correlation is an organic combination of several one-dimensional optical orthogonal codes with different lengths.This paper focuses on the optimality and combinatorial construction of multi-length optical orthogonal codes with a weight of 3 and a sufficiently small correlation function.In chapter 3, we establish some new upper bounds of MLOOC, which provide the criterion for the construction of optimal codes.In addition, the construction method and existence of the optimal ({nnr} M ~ (3)) 2)-MLOOC for r _ (3) 1(mod _ (2) have been studied in several papers.However, when r _ 3 0(mod _ 2), the optimal ({nnr} M ~ (3)) 2)-MLOOC structure becomes very difficult, and the correlation results are very few.In chapter 4, by using the cyclic difference matrix with holes, we establish a construction method by analyzing accurately the internal structure of the weighted combinational configuration, and obtain some new optimal ({nnr} MN ~ 3 ~ 1; 2)-MLOOC) infinite series, where r = 0(mod _ 2.In chapter 5, the construction and existence of three or more kinds of optimal length optical orthogonal codes are established.
【学位授予单位】：江南大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O157.4

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