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毕业设计(论文)外文资料翻译系别：电子信息系专业：通信工程班级：B090310姓名：孙春甫学号：B09031015外文出处：知网附件：1.原文；2.译文2013年05月PAGE\*MERGEFORMAT19ResearchProgressoftheFractionalFourierTransforminSignalProcessingABSTRACTThefractionalFouriertransformisageneralizationoftheclassicalFouriertransform,whichisintroducedfromthemathematicaspectbyNamiasatfirstandhasmanyapplicationsinopticsquickly.Whereasitspotentialappearstohaveremainedlargelyunknowntothesignalprocessingcommunityuntil1990s.ThefractionalFouriertransformcanbeviewedasthechirp-basisexpansiondirectlyfromitsdefinition,butessentiallyitcanbeinterpretedasarotationinthetime-frequencyplane,i.e.theunifiedtime-frequencytransform.Withtheorderfrom0increasingto1,thefractionalFouriertransformcanshowthecharacteristicsofthesignalchangingfromthetimedomaintothefrequencydomain.Inthisresearchpaper,thefractionalFouriertransformhasbeencomprehensivelyandsystematicallytreatedfromthesignalprocessingpointofview.OuraimistoprovideacoursefromthedefinitiontotheapplicationsofthefractionalFouriertransform,especiallyasareferenceandanintroductionforresearchersandinterestedreaders.Whilesolvingaheatconductionproblemin1807,aFrenchscientistJeanBaptisteJosephFourier,suggestedtheusageoftheFouriertheorem.Thereafter,theFouriertransform(FT)hasbeenappliedwidelyinmanyscientificdisciplines,andhasplayedimportantroleinalmostallthescienceandtechnologydomains.However,withtheextensionofresearchobjectsandscope,theFThasbeendiscoveredtohaveshortcomings.SincetheFTisakindofholistictransform,i.e.,throughwhichthewholespectrumisobtained,itcannotobtainthelocaltime-frequencycharacterthatisessentialandpivotalforprocessingnonstationarysignals.Soaseriesofnovelsignalanalysistheorieshavebeenputforwardtoprocessnonstationarysignals,suchas:thefractionalFouriertransform,theshort-timeFouriertransform,Wigner-Villedistribution,Gabortransform,wavelettransform,cyclicstatistics,AM/FMsignalanalysisandsoon.HereintothefractionalFouriertransform(FRFT),asageneralizationoftheclassicalFT,hascaughtmoreand
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