斯坦福大学开放课程 – 傅立叶变换及应用(xl)

中文名:斯坦福大学开放课程:傅立叶变换及应用英文名:OpenStanfordCourse:TheFourierTransformandItsApplications资源格式:MP4课程类型:数学学校:StanfordUniversity斯坦福大学主讲人:BradOsgood版本:开放式课程更新完毕发行日期:2009年地区:美国对白语言:英语文字语言:英文课程简介:CourseCoordinator:BradOsgoodCourseDescription:TheFouriertransformisubiquitousinengineeringandscienceandthiscourseisappropriateforstudentsfromacrosstheengineeringandsciencedisciplines.Thecourseemphasizesbothmathematicalknow-howandapplications.ThegoalsforthecoursearetogainafacilitywithusingtheFouriertransform,bothspecifictechniquesandgeneralprinciples,andlearningtorecognizewhen,why,andhowitisused.Togetherwithagreatvariety,thesubjectalsohasagreatcoherence,andthehopeisstudentscometoappreciateboth.Topicsinclude:TheFouriertransformasatoolforsolvingphysicalproblems.Fourierseries,theFouriertransformofcontinuousanddiscretesignalsanditsproperties.TheDiracdelta,distributions,andgeneralizedtransforms.Convolutionsandcorrelationsandapplications;probabilitydistributions,samplingtheory,filters,andanalysisoflinearsystems.ThediscreteFouriertransformandtheFFTalgorithm.MultidimensionalFouriertransformanduseinimaging.Furtherapplicationstooptics,crystallography.Emphasisisonrelatingthetheoreticalprinciplestosolvingpracticalengineeringandscienceproblems.目录:课程内容预览:Topicsinclude:1.PeriodicityandFourierseries2.TheFouriertransformanditsbasicproperties3.Convolutionanditsapplications4.DistributionsandtheirFouriertransforms5.Samplingandinterpolation6.Linearsystems7.ThediscreteFouriertransform8.HigherdimensionalFouriertransformsandapplications