Reduction of the Gibbs phenomenon applied on nonharmonic time base distortions英文文献资料

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1、1118IEEETRANSACTIONSONINSTRUMENTATIONANDMEASUREMENT,VOL.54,NO.3,JUNE2005ReductionoftheGibbsPhenomenonAppliedonNonharmonicTimeBaseDistortionsFjoDeRidder,RikPintelon,Fellow,IEEE,JohanSchoukens,Fellow,IEEE,andAnoukVerheydenAbstract—Asinewavefittingprocedureforcharacterizingofwoodhavethepotentialtogi

2、veinformationaboutthepastmeasurementsofaperiodicsignalinthepresenceofadditivenoiseenvironmentinwhichthetreegrew.Forinstance,changesinandanunknowntimebasedistortionispresented.Ifthetimebasevesseldensityanddiameters(vesselsaretube-likecellsrespon-distortionismodeledbyaFourierseries,itsuffersfromth

3、eGibbssibleforthewatertransportfromtherootstotheleavesofaphenomenon(ringing)atthebordersofthedatarecord.Usually,thisissolvedbyignoringdatasamplesattheborders.Thelatterplant)mayreflectchangesinenvironmentalconditions(e.g.,isunacceptableforveryshortdatarecordswheremeasuringa[9][11]).Detectingthesec

4、hangesisofmajorimportancetosampleis(very)expensiveand/or(very)timeconsuming.Thisunderstandforestdynamicsandtoensureasustainableman-paperpresentsasolutionthatsuppressestheringingintheesti-agementoftheforests.matedtimebasedistortionwithoutignoringdatasamplesattheInthestudydescribedinthispaper,thev

5、esseldensityinaborders.ThetheoryisillustratedonsimulationsandonrealvesseldensityinthewoodofamangrovetreefromKenya(Rhizophoramangrovetreewasmeasuredmanuallybycountingthevesselsmucronata).employingamicroscope,aidedwithimageanalysissoftware(Analysis3.0).CountingthedensityalongaradialaxisfromIndexTe

6、rms—Accretionrate,dendrochronology,Gibbsphe-nomenon,mangrove,ringing,timebasedistortion.barktopithtakesaboutafulldayofmanualwork(dependingonthesizeofthetree)[9].Besidesthecostandtime,thedatarecordcanbefairlyshort,thereforeignoringdatainordertore-I.INTRODUCTIONANDOUTLINEOFTHEPROBLEMduceringingisc

7、learlynotsatisfactory.Otherdatarecordssuf-HEestimationofaharmonicsignalinthepresenceofad-feringfromthesameproblems,e.g.,timebasedistortionsdueTditivenoiseandanunknowntimebasedistortion(TBD)tochangesingrowthoraccretionrate,in