ANALYSISANDDESIGNOFANALOGINTEGRATEDCIRCUITSFifthEditionPAULR.GRAYUniversityofCalifornia,BerkeleyPAULJ.HURSTUniversityofCalifornia,DavisSTEPHENH.LEWISUniversityofCalifornia,DavisROBERTG.MEYERUniversityofCalifornia,BerkeleyNewYork/Chichester/Weinheim/Brisbane/Singapore/TorontoPUBLISHERDonFowleyACQUISITIONSEDITORDanielSayreSENIORPRODUCTIONEDITORValerieA.VargasEXECUTIVEMARKETINGMANAGERChristopherRuelDESIGNERArthurMedinaPRODUCTIONMANAGEMENTSERVICESElmStreetPublishingServicesEDITORIALASSISTANTCarolynWeismanMEDIAEDITORLaurenSapiraCovercourtesyofChiHoLaw.Thisbookwassetin10/12TimesRomanbyThomsonDigitalandprintedandboundbyHamiltonPrintingCompany.ThecoverwasprintedbyPhoenixColor,Inc.Thisbookwasprintedonacid-freepaper.⃝∞Copyright2009©JohnWiley&Sons,Inc.Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,exceptaspermittedunderSections107or108ofthe1976UnitedStatesCopyrightAct,withouteitherthepriorwrittenpermissionofthePublisher,orauthorizationthroughpaymentoftheappropriateper-copyfeetotheCopyrightClearanceCenterInc.,222RosewoodDrive,Danvers,MA01923,websitewww.copyright.com.RequeststothePublisherforpermissionshouldbeaddressedtothePermissionsDepartment,JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ07030-5774,(201)748-6011,fax(201)748-6008,websitehttp://www.wiley.com/go/permissions.Toorderbooksorforcustomerservicepleasecall1-800-CALL-WILEY(255-5945).http://www.wiley.com/college/grayLibraryofCongressCataloging-in-PublicationDataAnalysisanddesignofanalogintegratedcircuits/PaulR.Gray...[etal.].—5thed.p.cm.Includesbibliographicalreferencesandindex.ISBN978-0-470-24599-6(cloth:alk.paper)1.Linearintegratedcircuits-Computer-aideddesign.2.Metaloxidesemiconductors-Computer-aideddesign.3.Bipolartransistors-Computer-aideddesign.I.Gray,PaulR.,1942-TK7874.A5882009621.3815–dc2108-043583PrintedintheUnitedStatesofAmerica1098765321ToLiz,Barbara,Robin,andJudyPrefaceSi...