具有高隔离度和任意功分比的平行带状功分器中英文对照翻译Word下载.docx
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具有高隔离度和任意功分比的平行带状功分器中英文对照翻译Word下载.docx
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12aredesignedandmeasured.Additionally,afrequencyindependent1800powerdividerhasbeenrealizedwithlessthan20phaseerrors.
IndexTerms—Arbitrarypower-dividingratio,parallel-stripline,ringstructure,unequalpowerdivider.
I.INTRODUCTION
THEWIKINSONpowerdividerisoneoftheconventionalandfundamentalcomponentsinmicrowaveengineeringandexistsinmanymicrowavecircuits.BothdistributedandlumpedWilkinsonpowerdividershavebeenappliedinmicrowaveintegratedcircuitsandmonolithicmicrowaveintegratedcircuits[1].Recently,extensivestudieshavebeenmadetoenhancetheperformancesoftheWilkinsonpowerdivider,includingsizereductionsbycapacitiveloading[2],foldedcircuitry[3]andresonatingstructure[4],[5],multibandoperation[6],[7],unequalpowerdividing/combining[8],andactivedevice[9]andwaveguideimplementations[10].Thepowerdividersdiscussedinthispaperarefocusedontheisolationenhancement.Theproposeddividerisrealizedintheparallel-striptransmissionline.Someparallel-stripcircuitswerereportedwithperformanceenhancement[11],[12].Theparallel-striplineprovidesmoredesignflexibilitythanamicro-stripline,especiallyinrealizationofahigh-impedancelineandtransitions.
Manybalancedcircuitssuchaspush–pullamplifiers,balancedmixers,frequencymultipliers,andantennaarraysemploytheWilkinsonpowerdividerbecauseofitssimpledesignwithhighport-to-portisolation.Isolationisoneoftheimportantissues
inthedesignofthepowerdivideranddirectionalcoupler.Highisolationimpliestheminimizationofunwantedcouplingbetweenactivedevices,aswellastheeliminationofunexpecteddistortionsandoscillations.Itisbecauseitmayprovideapositive
feedbackpathforotherfrequencies,e.g.,inFig.1,asunwantedoscillationatf1maybesetupoutsideoftheoperationfrequencyf0.Therefore,awidebandisolationoperationisalwayspreferredtosuppressthecouplinginotherfrequencybands.
Fig.1.Balancedcircuitatfrequencyf0andunwantedfeedbackatf1.
Theparallel-striplinebelongstoafamilyofbalancedtransmissionline.Theconventionalprintedcircuitboard(PCB)fabricationtechniqueisabletoeasilyrealizeparallel-striplines.Itisasimplestructureofadielectricsubstratesandwichedbetweentwostripconductors.Thesignalsflowingontheupperandlowerstripconductorsarealwaysequalinmagnitudeand1800out-of-phase.Thequasi-TEMmodeelectricandmagneticfieldsdistributionsareclosedtothemicro-stripline.Inthispaper,aparallel-stripswapisemployedtoenhanceisolationperformanceofthepowerdivider.Theswapisapassivemicrowavecomponent.Itformsacompactrealizationof1800phaseshiftbyinterchangingtheconnectionoftwoconductorsinthebalancedtransmissionline.Variousswapswereproposedforperformance
enhancementina1800hybridcoupler[13]–[15].
Anewequalpowerdivider,whichisrealizedonaparallel-striplinewitharing-likestructure,wasfirstdemonstratedin[16].Thefourarmsandtwoshuntresistorsinthedividerprovideahighdegreeoffreedomforchoosingthecircuitparameters.Inthispaper,theproposedconceptisgeneralizedtobearbitrarypowerdividingwithoutanincreaseindesigncomplexity.Itshowsafrequency-independentisolationcharacteristic,arbitrarypower-dividingratiowithoutanexternalmatchingnetwork,avoidanceofaverythinstriplineforachievinghighcharacteristicimpedance,andeaseofrealizingwideband1800dividing.WhiletheconventionalWilkinsonpowerdividerexhibitslimitedisolationbandwidth,unequalWilkinsonpowerdividingreliesonanexternalquarter-wavetransformerforrealizingunequalpowerdividingforthesameportimpedances.Highcharacteristicsimpedancetransmissionlinesarerequiredfortheunequalpowerdivider.Theunequaldividerhasbeenusedwithstrictrestrictionsindesignandfabricationbecauseitrequiresatransmissionlinewithveryhighimpedance[8].Ontheotherhand,theverythintransmissionlinelimitsthepowerhandlingofthedevices.Toovercomethislimitationinrealizingcharacteristicimpedance,theupperandlowerstriplinesoftheparallel-striplineareoffsetsothatitwillbeeasiertohighlyincreasethecharacteristicimpedance.Threepowerdividerswithpower-dividingratiosof1:
1,1:
2,and1:
12weredesigned,fabricated,andtested.
Fig.2.Schematicdiagramofproposedpowerdividerwithfourarms,aswap,andtwoshuntresistors.
II.THEORETICALANALYSIS
ThestructureoftheproposeddividerisillustratedinFig.2.In[13],theequalpowerdividerhasbeenanalyzedusingevenandodd-modeanalysisbecauseofsymmetryofthedivider.Forthesamereason,thecircuitparameters,suchasportimpedanceandlineimpedances,shouldbethesameastheircorrespondingparametersZA=ZC,ZB=ZD,andZ2=Z3.Inthispaper,wetrytogeneralizetheanalysistoanunequalpowerdividerwithanarbitrarydividingratio.
Itconsistsofan1800swap,fourquarter-wave-longarms(withcharacteristicimpedancesZA,ZB,ZC,andZD)andtwoshuntresistorswithresistance.Thesefiveparametersdeterminetheinputimpedances,isolation,anddividingratioofthedivider.Inordertodeterminethearmcharacteristicimpedancesandresistorvalues,severalparametersshouldbeknown,includingportimpedancesZ1,Z2,andZ3andpowerratioK.
Firstly,theimpedancematchingisconsidered.Toachievemaximumpowertransfer,alltheportsshouldbematched.Theinputimpedanceatport1isdeterminedbyZAandZCandportimpedancesZ2andZ3.AsillustratedinFig.3,itisassumedthatasignalisinjectedtoport1andwillonlypassthroughports2and3.Thereisnonetcurrentflowingfromports2to3duetoportisolationbetweenportsintheshadedregion.ArmsBandDwithcharacteristicimpedancesZBandZD,respectively,thetwoshuntresistors,andtheswapcanthusbereplacedbyanopencircuitinanalysis.Thetwoarmsareconnectedinshunt;
theinputimpedanceatport1canbeexpressedas
(1)
Thesignalinjectedtoport2canbedividedintotwoparts,oneflowingtoport1andtheotherbeingabsorbedbyshuntresistorsasshowninFig.4.Obviously,thereisnonetcurrentflowingfromarmtoarmandport3intheshadedregion,whichcanbereplacedbyanopencircuitinanalysis.Theinputimpedanceatport2canbegivenas
(2)
Similarly,theinputimpedanceatport3canbeexpressedas
(3)
Fortheunequalpowerdividingandassumingthepowerratioofports2and3tobeK,thepowerratiocanbedeterminedbytheratioofinputimpedanceofthearmsAandC,asshowninFig.3,asfollows:
(4)
Bysolving
(1),
(2),and(4),ZAandZCaredeterminedandareexpressedin(5)and(6),respectively.
Solving(4)and
(1),
(5)
Solving(4)and
(2),
(6)
Hence,theratioofthesquareofZBandZDandshuntresistorcanbedeterminedbysolving
(2),(3),(5),and(6).
Solving(5)and
(2),
(7)
Solving(6)and(3),
(8)
Therearefourconditions,butfiveunknownparametersZA,ZB,ZC,ZD,andR.Therefore,thesolutionsaresingular,whichimpliesthereisnouniquesolution.Theinfinitenumberofsolutionsprovideahighdegreeoffreedomwhenthedividerisdesigned.Forexample,thedividercannotonlybedesignedforanyportimpedancewithoutexternalmatchingcircuits,butalsoprovidesunequalpowerdividingwithequalportimpedance.
Isolationisaveryimportantdesignissue.Thesymmetricalstructureandtheswapprovidethepossibilityoffrequency-independentisolationcharacteristics.SignalsflowingthroughpathsA–CandB–Dshouldbeequalinmagnitude,but1800out-of-phase.Inordertoprovidefrequency-independentisolation,thephasedifferencebetweenpathsA–CandB–Dshouldbefrequencyindependentat1800out-of-phaseandwithequalamplitude,whichisprovidedbytheswap,andthecharacteristicimpedanceshouldbethesame
ZA=ZDandZB=ZC(9)
Equation(9)representsthefifthconditionfordesigningadividerwithfrequency-independentisolationandarbitrarypowerratio.Aftercombiningthepreviousconditions,theparametersZA,ZB,ZC,ZD,andRbecomeunique.Thedesignformulascanbesummarizedas
R=2Z1(10a)
(10b)
(10c)
Fig.5.Geometriesofparallel-stripswapandparallel-striplinewithequalphysicallength.
II
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