アナログ集積回路 基本回路（2） - el.gunma-u ...

1 Gunma University Gunma University Gunma University CC-CE,CC-CC IBIASQ1Q2 InOutVccIBIASQ1Q2 InOutVcc(a) - (b) - BcCcEc Gunma University BcEcCc+-V1+-V2r 1r 2gm2v2gm1v1 CCCCCCCC----CECECECE CCCCCCCC----CCCCCCCC 0200200220120122010)1(2)1(0)1(1)

2 1(rrRgmgmrrIrrgmgmGmrrRccccBIAS ccci== +== +== ++==++= V1+-RicGmcv1 Roc Gunma University IBIASM1Q2 BcIBIASQ1Q2 CcEc BiCMOS MOS BiCMOS MOS 2000)1(0 +==CBIASI Gunma University IBIASQ1Q2 VcccEcBcC o=100, Ic2=100uA, Ibias=10uA, rb=0, ro= Q2 =100uA/100=1uA Q1 =11uA121221101)283( )260(26)

3 (23626/11100 = == = = + = = = = ===gmgmMkkrgmkrkgmkmVAgmrccc Gunma University Gunma University RoutM2r01 VddRdVoutVinM1V gm1 VinM2Ri2ro1ro2 a dmvRgA1 122oomoutrrgR - Gunma University Rd Rd gm ro2 gm=10mS, ro1=ro2=10k , gmb gm ro2 = 100 Rout= 1M ( 80 B a C dmmoodmvoommbmdoutoutoutoutombmiiooinmou tRggrrRgArrgggRIRIVrggRRrrVgI12111122222 2222111/1,/1,//)/(1 + <<>> =+=+= []122221222)())

4 (1oombmooombmoutrrggrrrggR+ +++ Gunma University M1M2 VBIASRRO+-Vi +-VO+-Vds1gm1viro1gm2vgs2 =-gm2vds1gmb2vbs2 =-gmb2vds1 Rro2+-ViiO 00211112121211212=++++=+++odsodsdsbdsiod sdsbdsorvrvvgmvgmvgmrvvgmvgmi12112210)(1 11gmrrrgmgmgmviioGmooobvo +++ ===2122212221)()(ooboobooorrgmgmrrgmgmrr R+ +++= Vi Gunma University +-aVBIASM2M1Vi+-+-VOVDDRMOSFETMOSFETMOSF ETMOSFET a= Ro Vbias) Gunma University +-VO+-Vds1gm1viro1gm2vgs2 =-gm2(a+1)vds1gmb2vbs2 =-gmb2vds1 Rro2+-ViiO []2122122211211221)1()1(])

5 1([111oomoombmoooooobrragrrgagrrRgmrrrgm agmgmGm+ ++++= ++++ = Gunma University VddVoutVinM1V M2I a Gunma University 2221112221)()(ombmomvoombmoutoutmvrggrgA rrggRRgA+ + a gm1=gm2=10mS, ro1=ro2=10k , gmb2 , = =100x100=10000 80dB( Av=100 40dB){}[]oLombmomvoLrrggrgAr//)]

6 (22211+ roL Gunma University Q1Q2 VBIASVDDRRO+-VO+-Vi - Gunma University +-Vigm1v1ro1+-V2r 1r 2ro2gm2v2R+-VORO 1 rRi=1gmGm 020012122111110rrgmrgmrRrRvgmvoooooEi ++ == 0021 = ==ooiovrgmGmRvvA Gunma University Gunma University M2M1Vi+-+-VOVDDI1I2 Gunma University )1)(||()()(1222112111110rgmrrrrrgmgmrgmv voooboioio+++++==22111110211)

7 (1limooboiorrrgmrgmgmrgmvivo+++== ( r1=r2= gm1(vi-vo)-gmb1voVi+-ro1r1gm2v2Vo+-ro2r2 [])1()(1////2211121210rgmrgmgmrrrrivRoob ovioo++++=== + 121111obrgmgmgmRo ( r1=r2= Gunma University Gunma University Vin1M1 Vin2M2 RdRdVout1 Vout2 Vin,cm1 Vin,cm200ttttVin1 Vin2 Vout1 Vout2 Vdd (Low Noise amp) Gunma University (a) (Low Noise Amp) Gunma University Vout1 Vout2 Vin1 Vin2 Rd Itail Rd ItailVin1M1 Vin2M2Rd1Rd2 Vout1 Vout2 ItailVddVin1 >> Vin2 M1:on, M2.)))

8 Off Vout1=Vdd-Rd Itail, Vout2=VddVin1 << Vin2 M1:off, M2:on Vout1=Vdd, Vout2= Vdd-Rd Itail a b Rtail Gunma University (a) M1 M2 M1 gm M2 Itail Vin,cm DdooodidTAIL iddddidTAILidTAILdidTAILidTAILdRIVVVVLWk IVLWkIIIVLWkIVLWkIIVLWkIVLWkII = = = = = +=212212221)/(42)/(44'2)

9 /(44'2 Gunma University Vin,cmVp,Vout1,Vout2 VpVout1,Vout2 Vdd Rd Iss VddV1 VovVp1 Vout,minVout,max=VddNMOS M1M2 RdRdVout1 Vout2 VpIssVdd a b +Vin VinVin,cm Gunma University a Vdd= , Iss=1mA, Rd=5k , Vincm= , M1,M2 Vgs= (@Id=Iss/2) Vp= Vincm-Vgs= Iss/2= M1,M2 Vds= Vout Vdd Vout Vdd M1,M2 Vov Vp Vov=Vincm-Vth Vincm M3 + +ddTHssdddcminovGScminVVIRVVVVV,2min,31, Gunma University Vi2+VCCIC1IC2Vo1Vo2 RCRCVi1++++----ITAILRTAIL-VEEQ1Q2 = = =TidcTAILF cccooododooVVRIRIIVVVVVV2tanh)(122121 )/exp(1)

10 /exp(121 TidTAILFcTidTAILFcVVIIVVII+= += 3VT Vid<VT Gunma University = = =TidcTAILF cccooododooVVRIRIIVVVVVV2tanh)(122121 )/exp(1)/exp(1)(expexplnln02121212121212 12221112211 TidTAILFcTidTAILFcFccTAILeeFFFTidTiiccss scTbescTbeibebeiVVIIVVIIIIIIIVVVVVIIIIII VVIIVVVVVV+= +=+==+ == = ===== + Gunma University +VCCRCRC++--ITAIL-VEEQ1Q2 Vod+-2idV2idV Vid Gunma University +-+-+-vi1vi22idV+-+--+2idVvic+-- cmdmvidicoccmvicidoddmAACMRRvvAvvA===== 00)