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X(710100),,:AnalysisofPhaseNoiseandItsEffectsonCircuitSystemsGaoShutingLiuHongsheng(Xi’anElectronicEngineeringResearchInstitute,Xi’an710100)Abstract:Thispaperanalyzesindetailthefrequencystabilitiesinbothfrequencydo2mainandtimedomain,explainstheirphysicsmeanings,anddescribestheimportanceofphasenoiseincircuitsystemsanditseffectsonthem.Keywords:short2termfrequencystabilityphasenoise1,,,,,,,,1Hz(fm),,S,R2(S),,,,,,,,;,,,,,,852003632X2002715©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.22.1,:,1HzN017-174dBmöHz,f0,1Hz,(f0+$f),1s,,112Vf0,2N0,f0,$X=2P$f11,$X,f01ac,bdM=N0V,,:H=tXn-1N0V(1)radöHzH,,,,$f=1kHZ,1HzPN,P0PNöP0=N20öV2=H21kHz,1HzH2rad2:V(t)=V0cos(Xt+H0)(2)V0XH0,,,,,,,:V(t)=V0[1+A(t)]sin[Xt+H(t)](3)A(t),H(t)a(t),,H(t),(3):V(t)=V0sin[Xt+H(t)],H(t)=Hsinpt,H,rad952©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.V(t)=V0sin(Xt+Hsinpt)=V0[sinXtcos(Hsinpt)+cosXtsin(Hsinpt)](4)(4),H,:V(t)=V0[sinXt+H2sin(X+p)t-H2sin(X-p)t](5)(5),2,V0H223,f(t)f0y(t):y(t)=f(t)-f0f0=$f(t)f0(6)Ra(S)Ra(S)=12(N-1)N-1i=1(yi+1-y1)212(7)f02.2:u(t)=V0cos(X0t+U0)(8):V0,X0,U0,,E(t)U(t),:u(t)=[V0+E(t)]cos[X0t+U(t)](9),ûE(t)ûnV0,ûU(t)ûn1,E(t),(9):u(t)=V0cos[X0t+U(t)]7(t):7(t)=2Pf0t+U(t)(10)f(t):f(t)=7(t)2P=f0+12PU(t)(11)U(t)f(t)2Pf0,12PU(t),062003632©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,U(t)2Pf,R:R2=1f20(fi-fN)2(12):fN=limN1NNi=1fifi,N,,,,N,,Ra(S)Ra(S)=1f012mmj=1(fj+1-fj)2(13);S,m(13),,mS,,,,3,,,,,,,,,,,,,,,33,,,,,,,,,4,,,,,,,,162©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.44,,,,5fD:fD2Vf0C0,V,C03108mös,f0,,,,,,,,,MTII2(14):I2=10lg316B20l(fm)sin2(PfS)sin4(PfT)df(14):B(Hz),l(fm)(dBöHz),S(s),T(s)(14),BTS,,,,5,,50dB,ms10-10,S1kHz-105dBcöHz,100kHz-125dBcöHz45,,,,,,1kHz,10kHz100kHz1MHz,,,262003632©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.6,,,,100MHz-170dBcöHz,,,,,,(41)44,,,,,,,,,362©1995-2006TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.