基于橋函數(shù)重組研究的一種擴(kuò)頻序列設(shè)計(jì)的中期報(bào)告摘要：本文研究了一種基于橋函數(shù)重組的擴(kuò)頻序列設(shè)計(jì)方法，并進(jìn)行了中期報(bào)告。首先介紹了擴(kuò)頻通信的原理及擴(kuò)頻序列設(shè)計(jì)的背景，然后詳細(xì)討論了橋函數(shù)的概念及其在擴(kuò)頻序列設(shè)計(jì)中的應(yīng)用，進(jìn)而提出了一種設(shè)計(jì)思路，即利用基礎(chǔ)序列及其橋函數(shù)重組生成擴(kuò)頻序列。在此基礎(chǔ)上，進(jìn)一步研究確定了橋函數(shù)的選取方法，并在MATLAB中進(jìn)行了編程實(shí)現(xiàn)和仿真驗(yàn)證。結(jié)果表明，所設(shè)計(jì)生成的擴(kuò)頻序列具有較好的統(tǒng)計(jì)性質(zhì)和抗干擾性能，并且有望在實(shí)際應(yīng)用中得到應(yīng)用。1.引言Withthedevelopmentofwirelesscommunicationtechnology,spreadspectrumcommunicationhasbecomeanimportantresearchdirectionbecauseofitsadvantagesinanti-jamming,anti-multipathinterferenceandcovertcommunication.Thekeytechnologyofspreadspectrumcommunicationisthedesignofspreadspectrumsequences,whichdirectlyaffectstheperformanceofthecommunicationsystem.Therefore,theresearchonthedesignofspreadspectrumsequenceshasimportanttheoreticalandpracticalsignificance.2.相關(guān)概念及背景2.1擴(kuò)頻通信的原理Spreadspectrumcommunicationisakindofcommunicationtechnologythatusesawidebandwidthtotransmitanarrowbandsignal.Theprincipleis:thesenderusesacertainalgorithmtospreadtheoriginalsignaltoawidebandsignal;thereceiverusesthesamealgorithmtodespreadthereceivedsignaltoobtaintheoriginalsignal.2.2擴(kuò)頻序列設(shè)計(jì)的背景Thedesignofspreadspectrumsequencesaimstoobtainsequenceswithgoodautocorrelationandcross-correlationpropertiestoensurethesecurity,anti-jammingandefficiencyofthecommunicationsystem.Commonlyusedspreadspectrumsequencesincludebinaryphaseshiftkeying(BPSK)sequence,m-sequence,Goldsequence,Kasamisequence,andsoon.3.橋函數(shù)在擴(kuò)頻序列設(shè)計(jì)中的應(yīng)用3.1橋函數(shù)的概念Thebridgefunctionisamathematicaltoolforconstructingspreadingsequences.Itisafunctionthatmapsonesequencetoanotherthroughalineartransformation.3.2利用橋函數(shù)設(shè)計(jì)擴(kuò)頻序列的思路Thebridgefunctioncanbeusedtorecombinethebasicsequencetogenerateaspreadspectrumsequence.Thestepsareasfollows:(1)Selectabasicsequencethatmeetstherequirementsoftheautocorrelationandcross-correlationfunction;(2)Determinethebridgefunctionandgenerateanewspreadsequencebylineartransformationofthebasicsequenceandthecorrespondingbridgefunction;(3)Verifythestatisticalpropertiesandanti-interferenceperformanceofthegeneratedspreadsequence.4.橋函數(shù)的選取方法4.1快速自相關(guān)函數(shù)法Thefastautocorrelationfunctionmethodisusedtoobtainthemaximumvalueoftheautocorrelationfunctionofthebasicsequence,andthecorrespondingtimedelayistakenasthevalueofthebridgefunction.4.2對(duì)稱橋函數(shù)選取法Theselectionofasymmetricbridgefunctioncansimplifythecalculationofthecorrelationfunctionandreducethecomplexityofsequencedesign.Asymmetricbridgefunctioncanbeselectedasthedifferencebetweenthebasicsequenceanditsreversesequence.5.仿真驗(yàn)證InMATLABenvironment,theprogramiswrittentogeneratespreadspectrumsequencesusingtheproposedbridgefunctionmethod.Thestatisticalpropertiesandanti-interferenceperformanceofthegeneratedsequencesareverifiedbyautocorrelationfunction,cross-correlationfunction,biterrorrateandsignaltonoiseratio.6.結(jié)論Basedonthebridgefunctionrecombinationmethod,amethodfordesigningspreadspectrumsequencesisproposed.Thesimulationresultss