基于桥函数重组研究的一种扩频序列设计的中期报告

基于桥函数重组研究的一种扩频序列设计的中期报告摘要：本文研究了一种基于桥函数重组的扩频序列设计方法，并进行了中期报告。首先介绍了扩频通信的原理及扩频序列设计的背景，然后详细讨论了桥函数的概念及其在扩频序列设计中的应用，进而提出了一种设计思路，即利用基础序列及其桥函数重组生成扩频序列。在此基础上，进一步研究确定了桥函数的选取方法，并在MATLAB中进行了编程实现和仿真验证。结果表明，所设计生成的扩频序列具有较好的统计性质和抗干扰性能，并且有望在实际应用中得到应用。1.引言Withthedevelopmentofwirelesscommunicationtechnology,spreadspectrumcommunicationhasbecomeanimportantresearchdirectionbecauseofitsadvantagesinanti-jamming,anti-multipathinterferenceandcovertcommunication.Thekeytechnologyofspreadspectrumcommunicationisthedesignofspreadspectrumsequences,whichdirectlyaffectstheperformanceofthecommunicationsystem.Therefore,theresearchonthedesignofspreadspectrumsequenceshasimportanttheoreticalandpracticalsignificance.2.相关概念及背景2.1扩频通信的原理Spreadspectrumcommunicationisakindofcommunicationtechnologythatusesawidebandwidthtotransmitanarrowbandsignal.Theprincipleis:thesenderusesacertainalgorithmtospreadtheoriginalsignaltoawidebandsignal;thereceiverusesthesamealgorithmtodespreadthereceivedsignaltoobtaintheoriginalsignal.2.2扩频序列设计的背景Thedesignofspreadspectrumsequencesaimstoobtainsequenceswithgoodautocorrelationandcross-correlationpropertiestoensurethesecurity,anti-jammingandefficiencyofthecommunicationsystem.Commonlyusedspreadspectrumsequencesincludebinaryphaseshiftkeying(BPSK)sequence,m-sequence,Goldsequence,Kasamisequence,andsoon.3.桥函数在扩频序列设计中的应用3.1桥函数的概念Thebridgefunctionisamathematicaltoolforconstructingspreadingsequences.Itisafunctionthatmapsonesequencetoanotherthroughalineartransformation.3.2利用桥函数设计扩频序列的思路Thebridgefunctioncanbeusedtorecombinethebasicsequencetogenerateaspreadspectrumsequence.Thestepsareasfollows:(1)Selectabasicsequencethatmeetstherequirementsoftheautocorrelationandcross-correlationfunction;(2)Determinethebridgefunctionandgenerateanewspreadsequencebylineartransformationofthebasicsequenceandthecorrespondingbridgefunction;(3)Verifythestatisticalpropertiesandanti-interferenceperformanceofthegeneratedspreadsequence.4.桥函数的选取方法4.1快速自相关函数法Thefastautocorrelationfunctionmethodisusedtoobtainthemaximumvalueoftheautocorrelationfunctionofthebasicsequence,andthecorrespondingtimedelayistakenasthevalueofthebridgefunction.4.2对称桥函数选取法Theselectionofasymmetricbridgefunctioncansimplifythecalculationofthecorrelationfunctionandreducethecomplexityofsequencedesign.Asymmetricbridgefunctioncanbeselectedasthedifferencebetweenthebasicsequenceanditsreversesequence.5.仿真验证InMATLABenvironment,theprogramiswrittentogeneratespreadspectrumsequencesusingtheproposedbridgefunctionmethod.Thestatisticalpropertiesandanti-interferenceperformanceofthegeneratedsequencesareverifiedbyautocorrelationfunction,cross-correlationfunction,biterrorrateandsignaltonoiseratio.6.结论Basedonthebridgefunctionrecombinationmethod,amethodfordesigningspreadspectrumsequencesisproposed.Thesimulationresultss