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第16卷第2期强激光与粒子束Vol.16，No.22004年2月HIGHPOWERLASERANDPARTICLEBEAMSFeb.，2004ArticleID：1001-4322（2004）2-0227-04Log-ratiocircuitandlowfrequencyfeedbacksystem*LIUJian-hong，WANGJun-hua，ZHENGKai，GONGDing，YANGYong-liang，SUNBao-gen（NationalSynchrotronRadiationLaboratory，UniversityofScienceandTechnologyofChina，P.O.Box6022，Hefei230029，China）Abstract：DuringthePastyear，severalmeasureshavebeentriedtoimProvethestabilityofinjectedbeamatHLS（HefeiLightSource），whichhasnewlyuPgradeditsinjectionsystem.Toovercometheevidentresidualbetatronoscillation，onesPecificbetatron-oscillationsuPPressorcircuitryisaccomPlishedtotakeitundercontrol.Meanstoex-citeanddamPbeammotionshasbeensuggested，aswellasaPLLcircuitinPlantotrackthevariationoftuneundervariousmachinestates.Inaddition，worksasimProvingthePerformanceofearlyversionofturn-by-turnsystemandre-buildingthesoftwarekittomakeitareliableinstrumentationforbeamnonlineardynamicsstudyandmachinestatemo-nitoring.Keywords：Log-ratiocircuit；Turn-by-turnsystem；Circuitrysimulation；ResonantdePressorCLCnumber：TL594Documentcode：A1Log-ratioBPMandturn-by-turninvestigationBecauseoftheinherentlog-ratioProPertyforbeamPositionmonitoring，aswellasthewidedynamicrange，highbandwidthandgoodconformanceofmodernlogarithmicamPlifier，log-ratioBPMisanattractiveandeffectivecandi-date［2，3］.ThecommonsignalProcessingcircuitryisfairlysim-Ple，insteadofcomPlicateddown-convertingtransformation，theBPMRFPickuPsignalisdirectlydetectedandlog-amPli-fied，asshowninFig.1［4］.TaketheBPMsignalintoconsid-eration，theanalysisstartsfromthecaPacitivebuttonPUwhichProvidesamPlesignalinaPPlicationswithbunchedbeams，aswellasProPertiesasrelativelybroadbandandmechanicallyFig.1Log-ratioequivalentelectronicscircuitrysimPle［5］.Forthelongbunch，thebeamsignalisverynearlythederivativeofthelongitudinalbunchdistribution.SuPPosethebunchchargedistributionisGaussian，forsinglebunchrevolutionoPerationmode，wehavesignalyieldedatBPMPickuPlike+∞（）（）（）（）ut=Σubt-nT0cos2nvxπ+φ01n=-∞Q22（）d（0-t/2σ）（
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