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均匀圆形频控阵非线性频偏的波束仿真分析.docx

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均匀圆形频控阵非线性频偏的波束仿真分析 Abstract:Thispaperaimstoanalyzethebeamformingperformanceofanon-linearfrequencyoffsetinauniformcirculararray(UCA)withfrequency-controlledelements.Thesimulationstudyinvestigatestheimpactofthisnon-linearfrequencyoffsetonthebeamformingperformanceoftheUCA.Theresultsindicatethatthenon-linearfrequencyoffsetleadstosignificantdegradationinbeamformingperformance,particularlyintermsofbeampatterndistortionandsidelobelevelincrease.ThefindingsfromthisstudycanbeusefulinthedesignandoptimizationofUCAsystemswithfrequency-controlledelements. 1.Introduction Uniformcirculararrays(UCAs)arewidelyusedinvariousapplicationssuchasradar,sonar,andwirelesscommunicationsystemsduetotheirinherentbeamformingcapabilities.TraditionalUCAsassumethatallthearrayelementshaveidenticalfrequencyandphasecharacteristics.However,inmanypracticalscenarios,itischallengingtomaintainsuchidealconditions,leadingtonon-idealitiesinthearrayelements. Frequency-controlledelementsarearecenttechnologicaladvancementinantennaarraysthatoffertheabilitytochangethefrequencycharacteristicsofindividualelements.Thisfeatureprovidesseveralbenefits,includingtheabilitytodynamicallyadaptthearray'sresponsetochangingcircumstances.However,italsointroducesnon-linearfrequencyoffsets,andtheirimpactonthebeamformingperformanceofUCAsisnotwellstudied. 2.Non-linearfrequencyoffsetmodeling Toanalyzetheimpactofnon-linearfrequencyoffsetonthebeamformingperformance,amathematicalmodelisrequiredtodescribethenon-linearfrequencyoffsetcharacteristicoftheindividualarrayelements.Thismodelcanbebasedonthedeviationfromthedesiredfrequencyandthedeviationfromtheidealphaseresponse. Acommonmodelusedtocapturethenon-linearfrequencyoffsetistheTaylorseriesexpansion.Thismodelrepresentsthedeviationasafunctionofthefrequencyoffsetanditshigher-orderterms.Byincludinghigher-orderterms,amoreaccuratemodelcanbeobtained.However,theaccuracycomesatthecostofincreasedcomplexity. 3.Simulationsetup Inthisstudy,asimulationsetupisconstructedtoinvestigatetheimpactofthenon-li