本文關(guān)鍵詞：零差平衡函數(shù)的組合構(gòu)作　出處：《河北師范大學》2017年碩士論文　論文類型：學位論文

  更多相關(guān)文章： 零差平衡函數(shù) 可劃分差族 常重復合碼 集合差系統(tǒng) 跳頻序列

【摘要】：零差平衡函數(shù)(zero-difference balanced functions)是由丁存生在研究常重復合碼時定義的一種組合結(jié)構(gòu).常重復合碼是在通信工程領(lǐng)域中為研究平衡調(diào)度和電力傳輸而提出的一類特殊的常重碼.它廣泛的應用于多址通信系統(tǒng)、編碼、跳頻序列和球碼調(diào)制等方面.零差平衡函數(shù)還可用來構(gòu)作集合差系統(tǒng).集合差系統(tǒng)是由Levenstein在構(gòu)作無逗碼時定義的組合結(jié)構(gòu).2008年,丁存生利用有限域上的跡函數(shù)構(gòu)作了一類零差平衡函數(shù).2012年,周正春等人利用差平衡函數(shù)給出了兩類零差平衡函數(shù)的一般構(gòu)作.2013年,蔡晗等人利用廣義分圓類構(gòu)作了一類新的零差平衡函數(shù).2014年,Q.Wang等人給出了零差平衡函數(shù)的一般構(gòu)作.同年,丁存生等人構(gòu)作了三類新的零差平衡函數(shù).2015年,查正邦等人給出了零差平衡函數(shù)的若干分圓構(gòu)作.丁存生等人指出了零差平衡函數(shù)和可劃分差族的等價關(guān)系.可劃分差族最早是由丁存生和殷劍興在研究常重復合碼時定義的.殷劍興,王金華等人利用有限域分圓理論構(gòu)作了若干類的可劃分差族.王成敏等人給出了用1-rotational可分解的平衡不完全區(qū)組設計構(gòu)作可劃分差族的方法.朱坤利用分圓類的拆分和整合,也給出了若干類的可劃分差族.本文第一章介紹相關(guān)的概念和結(jié)論.第二章從可劃分差族入手,給出若干類新的零差平衡函數(shù).第三章分別介紹零差平衡函數(shù)在最優(yōu)常重復合碼、完美集合差系統(tǒng)和跳頻序列上的應用.
[Abstract]:Zero difference balance function (zero-difference balanced functions) is a kind of composite structure defined by Ding Cunsheng in the study of constant composition codes. Constant composition codes is proposed for the study of balanced scheduling and power transmission in the field of communication engineering in a special class of constant weight codes. It is widely used in multiple access communication system. Encoding, aspects of frequency hopping sequences and ball code modulation. Zero differential equilibrium functions can also be used to construct the set differential system. Difference system of sets is defined by Levenstein in the construction of the composite structure without make code.2008, using the Ding Cunsheng trace function over finite fields to construct a class of zero difference balance function.2012 years. Zhou Zhengchun et al use difference balance are given two kinds of function zero difference balance function for the general construction of.2013 years, Cai Han et al. By using the generalized cyclotomic class to construct a new class of zero difference balance function in.2014, Q.Wang et al proposed zero difference balance function The general structure of the number. The same year, Ding Cunsheng et al to construct three new zero difference balance function in.2015, the number of Cyclotomic homodyne balanced function to construct bond et al. Ding Cunsheng et al are found out and can be divided into zero difference balanced function difference family equivalence relation can be divided. The first difference family is defined by Ding Cunsheng and Yin Jianxing in the study of constant composition codes. Yin Jianxing, Wang Jinhua, et al. Using finite field theory to construct a number of Cyclotomic classes can be divided into poor family. Wang Chengmin et al is presented by the 1-rotational decomposition of the balanced incomplete block design construction method can be divided into difference families. The use of Zhu Kun round type separation and integration are also given some kind of divided difference family. The first chapter introduces the related concepts and conclusions. The second chapter starts from the divided difference family, given some new classes of homodyne balanced function. The third chapter introduces the zero difference balance function The application of the number in the optimal constant repeating code, the perfect set difference system and the frequency hopping sequence.

【學位授予單位】：河北師范大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O156

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