EIS-WUHANUNIVERSITY1集成电路设计第五章CMOS反相器EIS-WUHANUNIVERSITY2Outline电路特性反相器CMOS反相器电压传输特性噪声容限传输延迟驱动大电容负载功耗及低功耗设计EIS-WUHANUNIVERSITY35-1特性成本复杂性和面积完整性和稳定性静态(稳态)特性性能动态(瞬态)特性能量效率能耗和功率EIS-WUHANUNIVERSITY45-2反相器(Inverter)VinVoutCLVDDCMOSInverterPolysiliconInOutVDDGNDPMOS2lMetal1NMOSContactsNWellEIS-WUHANUNIVERSITY5TwoInvertersConnectinMetalSharepowerandgroundVDDEIS-WUHANUNIVERSITY6CMOS反相器基本特点输出电源和GND噪声容限大逻辑电平与尺寸无关,可以采用最小尺寸稳态输出时,VDD或GND与输出之间总存在有限电阻的通路低输出阻抗对噪声和干扰不敏感极高的输入阻抗(inputresistance)稳态下Vdd和GND间无直流通路无静态功耗传输延迟(Propagationdelay)是负载电容和晶体管电阻的函数。EIS-WUHANUNIVERSITY7CMOSInverter——First-OrderDCAnalysisVOL=0VOH=VDDVM=f(Rn,Rp)VDDVDDVin=VDDVin=0VoutVoutRnRpEIS-WUHANUNIVERSITY8CMOSInverter:TransientResponsetpHL=f(Ron.CL)=0.69RonCLVoutVoutRnRpVDDVDDVin=VDDVin=0(a)Low-to-high(b)High-to-lowCLCLEIS-WUHANUNIVERSITY95-3VoltageTransferCharacteristicNMOS+PMOS图解法EIS-WUHANUNIVERSITY10I-VNMOS00.511.522.500.511.522.5VDS(V)X10-4VGS=1.0VVGS=1.5VVGS=2.0VVGS=2.5VNMOStransistor,0.25um,Ld=0.25um,W/L=1.5,VDD=2.5V,VT=0.4VEIS-WUHANUNIVERSITY11I-VPlot(PMOS)-1-0.8-0.6-0.4-0.200-1-2VDS(V)X10-4VGS=-1.0VVGS=-1.5VVGS=-2.0VVGS=-2.5VPMOStransistor,0.25um,Ld=0.25um,W/L=1.5,VDD=2.5V,VT=-0.4VAllpolaritiesofallvoltagesandcurrentsarereversedEIS-WUHANUNIVERSITY12PMOSLoadLinesVoutIDnVin=VDD+VGSpIDn=-IDpVout=VDD+VDSpVinVoutCLVDDEIS-WUHANUNIVERSITY13PMOSLoadLinesVDSpIDpVGSp=-2.5VGSp=-1VDSpIDnVin=0Vin=1.5VoutIDnVin=0Vin=1.5Vin=VDD+VGSpIDn=-IDpVout=VDD+VDSpEIS-WUHANUNIVERSITY14CMOSInverterLoadCharacteristicsIDnVoutVin=2.5Vin=2Vin=1.5Vin=0Vin=0.5Vin=1NMOSVin=0Vin=0.5Vin=1Vin=1.5Vin=2Vin=2.5Vin=1Vin=1.5PMOSEIS-WUHANUNIVERSITY15CMOSInverterVTCVoutVin0.511.522.50.511.522.5NMOSresPMOSoffNMOSsatPMOSsatNMOSoffPMOSresNMOSsatPMOSresNMOSresPMOSsatEIS-WUHANUNIVERSITY16噪声容限logic1logic0unknownVDDVSSVHVL反映了对噪声的敏感程度;电路0,1电平允许的输入范围;越大越好;高电平噪声容限低电平噪声容限EIS-WUHANUNIVERSITY17LogiclevelmatchingLevelsatoutputofonegatemustbesufficienttodrivenextgate.EIS-WUHANUNIVERSITY18TransfercharacteristicsTransfercurveshowsstaticinput/outputrelationship—holdinputvoltage,measureoutputvoltage.EIS-WUHANUNIVERSITY19反相器噪声容限的三种求法求法1最低输出高电平、最高输出低电平;找到对应的输入;求差;VNL=Voff–VilVNH=Vih–VonVolVol,maxVoh,minVohVonVihVoffVilEIS-WUHANUNIVERSITY20求法2单位增益点(斜率为1,-1);找到对应的输入;求差;VNL=Voff–VilVNH=Vih–VonVolVol,maxVoh,minVohVonVihVoffVilEIS-WUHANUNIVERSITY21求法3工作中心点;Vin=VoutVgs=Vds找到对应的输入;求差;EIS-WUHANUNIVERSITY22NoiseMarginsDeterminingVIHandVIL0123VILVIHVinVOH=VDDVMBydefinition,VIHandVILarewheredVout/dVin=-1(=gain)VOL=GNDApiece-wiselinearapproximationofVTCNMH=VDD-VIHNML=VIL-GNDApproximating:VIH=VM-VM/gVIL=VM+(VDD-VM)/gSohighgaininthetransitionregionisverydesirableEIS-WUHANUNIVERSITY23CMOSInverterVTCfromSimulation00.511.522.500.511.522.5Vin(V)Vout(V)0.25um,(W/L)p/(W/L)n=3.4(W/L)n=1.5(minsize)VDD=2.5VVM1.25V,g=-27.5VIL=1.2V,VIH=1.3VNML=NMH=1.2(actualvaluesareVIL=1.03V,VIH=1.45VNML=1.03V&NMH=1.05V)Outputresistancelow-output=2.4khigh-output=3.3kEIS-WUHANUNIVERSITY24VM与PMOS及NMOS的宽长比0.80.911.11.21.31.41.50110(W/L)p/(W/L)nIncreasingthewidthofthePMOSmovesVMtowardsVDDIncreasingthewidthoftheNMOSmovesVMtowardGND决定因素:宽长比近似为等效电阻之比。.1工艺因子:k’=µCox导电因子:βn=k’(W/L)~3.4Rn≈1/[βn(Vgs–Vt)]EIS-WUHANUNIVERSITY25GainDeterminates-18-16-14-12-10-8-6-4-2000.511.52VinGainisastrongfunctionoftheslopesofthecurrentsinthesaturationregion,forVin=VM(1+r)g----------------------------------(VM-VTn-VDSATn/2)(ln-lp)Determinedbytechnologyparameters,especiallychannellengthmodulation(l).OnlydesignerinfluencethroughsupplyvoltageandVM(transistorsizing).EIS-WUHANUNIVERSITY26GainasafunctionofVDD00.050.10.150.200.050.10.150.2Vin(V)Vout(V)00.511.522.500.511.522.5Vin(V)Vout(V)Gain=-1100mv时,VTC变差;过渡区增益接近-1一般,为达到足够的增益,电源应大于热电势的两倍VDDmin2,4KT/qKT/q室温下约为26mvEIS-WUHANUNIVERSITY27SimulatedVTC00.511.522.500.511.522.5Vin(V)Vout(V)EIS-WUHANUNIVERSITY28ImpactofProcessVariations00.511.522.500.511.522.5Vin(V)Vout(V)GoodPMOSBadNMOSGoodNMOSBadPMOSNominalEIS-WUHANUNIVERSITY295-4传输延迟(PropagationDelay)EIS-WUHANUNIVERSITY30DelayAssumeidealinput(step),RCload.EIS-WUHANUNIVERSITY31tpHL=f(Ron.CL)=0.69RonCLVoutVoutRnRpVDDVDD(a)Low-to-high(b)High-to-lowCLCL上升时间(risetime),pullupon;下降时间(falltime),pullupoff.EIS-WUHANUNIVERSITY32CurrentthroughtransistorTransistorstartsinsaturationregion,thenmovestolinearregion.Vout增大充电电流减小。Vds减小。EIS-WUHANUNIVERSITY33Resistiveapproximation可使用积分求解等效电阻平均值VGSVTRonSDEIS-WUHANUNIVERSITY34Req——求VDD/2,VDD区间的电阻平均值EIS-WUHANUNIVERSITY35GatedelayDelay:传输延迟VDD50%VDD50%VDDVDDTransitiontime:转换时间timerequiredforgate’soutputtoreach10%(logic0)or90%(logic1)offinalvalue.10%90%90%10%EIS-WUHANUNIVERSITY36InverterdelaycircuitLoadisresistor+capacitor,driverisresistor.EIS-WUHANUNIVERSITY37Inverterdelaywithtmodeltmodel:gatedelaybasedonRCtimeconstantt.Vout(t)=VDDexp{-t/(Rn+RL)CL}90%(logic1)10%(logic0)tf=2.2RCL100%(logic1)50%tD=0.69RCLForpulluptime,usepullupresistance.EIS-WUHANUNIVERSITY38tmodelinverterdelay0.5micronprocess:Rn=3.9kCL=0.68fF延迟时间td=0.69x3.9x0.68E-15=1.8ps.上升延迟tf=2.2x3.9x0.68E-15=5.8p