A memristor SPICE model for designing memristor circuits

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1、AMemristorSPICEModelforDesigningMemristorCircuitsMohammadMahvashAliceC.ParkerMingHsiehDepartmentofElectricalEngineeringMingHsiehDepartmentofElectricalEngineeringUniversityofSouthernCaliforniaUniversityofSouthernCaliforniaLosAngeles,CAUSALosAngeles,CAUSAEmail:mahvas

2、hm@usc.eduEmail:parker@usc.eduAbstract—Thememristor,acircuitelement,wasfirstpresentedbyLeonChuain1971.ThephysicalimplementationofthememristorwascreatedbyscientistsatHPLabsin2008andthecoupledvariableresistormodelwasproposed.HereweshowaSPICEmodelforsuchamemristorusing

3、dependentvoltagesources.Themodelisvalidatedbysimulatingsimplecircuitsandcomparingwiththeexpectedresults.TheproposedmodelmakesitpossibletodesignandsimulatememristorcircuitsusingSPICE.Wesimulatetwocircuits,alowpassfilterinwhichamemristorisinserieswitharesistorandanint

4、egratorcircuitwithoperationalamplifier.Theresultsarecomparedwithinductorcircuitsinwhichamemristorisreplacedbyaninductor.Thecomparisonshowsthatamemristorisactinglikeaninductorundercertainconditions.Sincethememristorhasgreatperformanceintermsofpowerdissipationandwithi

5、tsnanometersizetheremightbeapossibleapplicationofthememristortobeusedasaninductor.I.INTRODUCTIONFig.1.ThecoupledvariableresistormodelIn1971LeonChuapresentedthemissingcircuitelementthathecalledamemristor(memory+resistor)[1].Henotedpresentanotherpossibleapplicationof

6、thememristor,usingamongthesixpossiblecombinationsofthefourfundamentalthememristorasaninductorundercertainconditions.Wealsocircuitvariables,i,v,qand,fivehavewell-knownrelation-showtheuseofthememristorinanintegratorcircuitandinships.Twoofthemarethedefinitionofcurrenta

7、ndFaraday’salow-passfilter.lawandtherestaregivenbythethreecircuitelements,dvddqII.SPICEMODELOFAMEMRISTORresistor(R=),inductor(L=)andcapacitor(C=).dtdidvBasedonthesymmetry,heclaimedthereshouldbeaforthIntheSPICEmodelofamemristorpresentedhere,therefundamentalelementca

8、lledamemristorwhichisarelationisathinsemiconductorfilmthathastworegions,onewithabetweenchargeandmagneticflux(M=d).Althoughhehighconcentrationofdop