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1、NonlinearAnalysisandDesignofPhase-lockedloops(PLL)&CostasloopNikolayV.KuznetsovGennadyA.LeonovDepartmentofAppliedCyberneticsFacultyofMathematicsandMechanicsSaint-PetersburgStateUniversityhttp://www.math.spbu.ru/user/nk/http://www.math.spbu.ru/user/nk/Non
2、linear_analysis_of_PLL.htmtutoriallastversion:http://www.math.spbu.ru/user/nk/PDF/Nonlinear-analysis-Phase-locked-loop-PLL.pdfKuznetsovN.V.,LeonovG.A.Nonlinearanalysisanddesignofphase-lockedloop(PLL)&Costasloop1/25Phase-lockedloops(PLL):historyIRadioandT
3、VIdeBellescizeH.,Lareceptionsynchrone,L'OndeElectrique,11,1932IWendt,K.&Fredentall,G.AutomaticfrequencyandphasecontrolofsynchronizationinTVreceivers,ProceedingsIRE,31(1),1943IComputerarchitectures(frequencymultiplication)IanYoung,PLLinamicroprocessori4
4、86DX2-50(1992)(inTurboregimestableoperationwasnotguaranteed)ITheoryandTechnologyXF.M.Gardner,Phase-LockTechniques,1966XA.J.Viterbi,PrinciplesofCoherentComm.,1966XW.C.Lindsey,Synch.Syst.inComm.andC.,1972XW.F.Egan,Freq.SynthesisbyPhaseLock,2000XB.Razavi,Ph
5、ase-LockinginHigh-Perf.Syst.,2003XR.Best,PLL:Design,SimulationandAppl.,2003XV.Kroupa,PhaseLockLoopsandFreq.Synthesis,2003KuznetsovN.V.,LeonovG.A.Nonlinearanalysisanddesignofphase-lockedloop(PLL)&Costasloop2/25PLLinComputerarchitecturesClockSkewEliminatio
6、n:Frequenciessynthesis:multicoremultiprocessorsystemsprocessors,motherboardsKuznetsovN.V.,LeonovG.A.Nonlinearanalysisanddesignofphase-lockedloop(PLL)&Costasloop3/25PLLanalysis&designPLLoperation:generationofelectricalsignal(voltage),phaseofwhichisautomat
7、icallytunedtophaseofinputreferencesignal(aftertransientprocessthesignal,controllingthefrequencyoftunableosc.,isconstant)112121110.5(sin(ωt+θ(t)))+sin(ωt-θ(t)))0.5sin(ωt+ωt))REFREFFilterFilter21cos(θ(t))VCOg(t)cos(ωt)VCOconstDesign:Signalsclass(sinusoidal
8、,impulse...),PLLtype(PLL,ADPLL,DPLL...)Analysis:ChoosePLLparameters(VCO,PD,Filteretc.)toachievestableoperationforthedesiredrangeoffrequenciesandtransienttimeAnalysismethods:simulation,linearanalysis,nonlinearanalysisofmath