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:BradOsgood

CourseDescription: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.PeriodicityandFourierseries
2.TheFouriertransformanditsbasicproperties
3.Convolutionanditsapplications
4.DistributionsandtheirFouriertransforms
5.Samplingandinterpolation
6.Linearsystems
7.ThediscreteFouriertransform
8.HigherdimensionalFouriertransformsandapplications

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斯坦福大学开放课程之《 傅立叶变换及应用》

斯坦福大学开放课程之《傅立叶变换及应用》