扩频通信中的伪随机码设计摘要扩频通信与常规通信系统相比，具有较强的抗人为干扰、窄带干扰和多径干扰能力，和信息隐藏以及多址保密通信等优点，因此在军事通信、移动通信等领域得到了广泛的应用。扩频通信的核心问题之一是扩频码的设计，即PN码的设计问题。随着扩频通信技术的发展，伪随机码在扩频通信中的作用越来越重要。本文主要介绍m序列、M序列、Gold序列及混沌序列的原理、构造方法及特性分析，并通过Matlab进行仿真来验证各个伪随机序列的随机特性，以期为以后的扩频通信中伪随机码的设计提供一些有意义的指导。关键词：计算机仿真;扩频;m序列;M序列;Gold序列;混沌序列Thepseudo-randomcodedesigninSpreadSpectrumCommunicationsABSTRACTSpreadspectrumcommunicationhasmanyadvantagesovertheconventionalcommunicationsystemssuchasstronganti-humaninterference,narrow-bandinterference,multipathinterferencecapabilities,informationhiding,multipleaccessconfidentialcommunicationsandsoon.Soithasbeenwidelyappliedinmilitarycommunications,mobilecommunicationsandotherfields.OneofthecoreissuesinSpreadSpectrumCommunicationsisthedesignofSpreadingCodes.ThatisthedesigningproblemofPNcode.WiththedevelopmentofSpreadspectrumcommunicationtechnology,Pseudo-randomcodeplaysamoreandmoreimportantroleinSpreadspectrumcommunication.Thispaperpresentstheprinciples,structuresandcharacteranalyzingofmsequence,MSeries,Goldsequenceandchaoticsequence.Furthermore,randomcharacterofvariouspseudo-randomsequencesisverifiedbysimulationexperimentswithMatlabinordertoprovidesomemeaningfulguidanceforPseudo-randomcodedesigninSpreadSpectrumCommunications.Keywords:computersimulation;Spreadspectrum;m-sequence;M-sequence;Gold-sequence;haotic-sequence目录1.绪论.................................................................................................................................11.1研究的目的和意义....................................................................................................11.2国内外研究现状........................................................................................................11.3扩频的理论基础........................................................................................................21.3.1香农信道公式.....................................................................................................21.3.2最佳相关接收.....................................................................................................41.3.3伪随机序列的相关概念.....................................................................................41.3.4伪随机序列的数学定义.....................................................................................51.3.5伪随机序列的相关性.........................................................................................61.3.6有限域的理论简介.............................................................................................71.4本文主要研究内容..................................................................................................102.常用伪随机码...............................................................................................................102.1m序列.....................................................................................................................102.1.1m序列的定义..................................................................................................102.1.2m序列的性质.............................................................
