斯坦福大學開放課程 傅立葉變換及應用 Open Stanford Course  The Fourier Transform and Its Applications 英文版 DVD 只於電腦播放

課程簡介:

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.

目錄:


課程內容預覽:

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