【作者】 郑艳阳；

【导师】 张凤元；

【作者基本信息】 北京化工大学 ， 计算机应用技术， 2011， 硕士

【摘要】 序列设计研究是很多工程领域的重要课题。随着第三代、第四代移动通信技术的发展,码分多址技术逐渐成为一支主流力量,其特点包括：抗干扰能力强,抗截获能力强和通信系统容量大等,这些优势的提升很大程度上要依赖于扩频序列设计。实验表明,桥函数在码序列设计方面有很大的应用前景,本文在现有杂交桥函数序列设计研究的基础上,进一步研究了基于桥函数的序列生成方式和最佳序列设计方法。文章提出了一种新型三值函数序列——重组杂交桥函数序列的生成方法,对其基本性质、相关性质进行了研究,对其最佳扩频序列设计方法和设计结果进行了说明,并进一步讨论了其他基于桥函数的序列(族)生成方式和设计方法。创新性工作主要包括：(1)用重组杂交的方式,构造了一种新型三值函数序列,命名为重组杂交桥函数序列,该函数序列突破了桥函数序列中零元素的规律性分布,扩大了扩频序列的可研究范围；(2)研究了重组杂交桥函数矩阵的一些基本性质,包括行正交和列正交的特性特征,并给出了严格的数学证明；重点讨论了重组杂交桥函数序列的相关性,并通过仿真实验得到了一系列结论；(3)给出了基于重组杂交桥函数序列的最佳序列族设计方法,针对零相关区、主旁瓣比、相对影响因子等特征参数,用计算机搜索算法实现了对广义同类杂交桥函数序列的最佳扩频序列设计,得出了一系列优选序列族；(4)从新的角度,提出了一种序列生成方式和一种序列族构造方法,分别称之为最佳零相关区交织桥函数序列和重构序列族,并分别对其相关性质进行了实验讨论和结果分析,得到了两种新的具有良好相关性的序列族设计方法。通过本文的研究工作,扩展了杂交桥函数序列的生成思想,不仅完善了桥函数理论体系,也为序列码设计提供了更广阔的研究基础,使桥函数理论在无线通信等工程领域的应用进一步成为可能。更多还原

【Abstract】 The design of code sequences is an important topic in many engineering fields.With the fast development of the 3G and the 4G mobile communication technology,Code Division Multiple Access (CDMA) technology has become a mainstream.It’s key features include:huge capacity, good anti-interference and anti-interception capability, etc. It deeply dependents on the spread-spectrum sequences design to enhance these advantages. As research demonstrates,the bridge function has a great prospect in the code sequences design.Based on the learning and designing of the Hybrid Bridge Function sequence,this paper make further study on sequence generating methods and optimal sequences designing.This paper proposes a new kind of sequence generating method.It’s used to form a new ternary function sequence which is named as Restructed-Hybrid Bridge Function sequence.It analyzes the basic characters and the correlation characteristics of Restructed-Hybrid Bridge function sequence,and describes a design method as a kind of optimum spread-spectrum sequences designing with the new sequence.Further more, it also talks about some other sequence(s) generating methods and design methods based on the bridge functions. Specifically,this paper takes the following innovative contents:(1)Create Restructed-Hybrid Bridge Function sequence with the method of Restructed-Hybrid,which breaks through the regular distribution of zero elements in the Bridge Function sequence.It expands the scope of the spread-spectrum sequences’study.(2)Study some basic characters of Restructed-Hybrid Function matrix, including the pair wise orthogonal character of the row vectors and the group orthogonal characters of the column vectors, and give strict mathematical proves.Focus on correlation functions of Restructed-Hybrid Bridge Function sequences, and obtain some conclusions out through simulation.(3)Further elaborate the design methods of optimal Restructed-Hybrid Bridge Function sequences sets.For the characteristic parameters such as zero correlation zones (ZCZs),main-side lobe ratio and relative influence factor,raise a sequence design based on the generalized-similar Restructed-Hybrid Bridge Function sequences with the computer search algorithm, and give out a series of preferred sequence sets.(4)From new perspective, raise a generating method of optimal ZCZ Interwoven Bridge Function sequence and a reconstructing method of sequences family.Through taking analysis on simulation results of them,get two design methods of sequences family with good correlation characters. As manifested by experiments, the optimal ZCZ Interwoven Bridge Function sequence could apply to communication system.Through the research, this paper extends the generation thoughts of the Hybrid Bridge Function sequences.It not only improves the Bridge Function theory system,but also provides a broader research base on the code sequences design.And it makes it further possible that the Bridge Function theory is to be used in the field of wireless communication applications and other projects.更多还原