More than meets the eye (?)

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Presentation transcript:

More than meets the eye (?) Fourier Transforms More than meets the eye (?)

Pulse Function

Uncertainty Principle Signal more localized in time localization  broader (less localized) frequency spectrum: DtDw = constant

Dirac Delta function d(t)

Fourier Transform of cos(wot)

Image Credits Eric Cheever, Swarthmore College: http://lpsa.swarthmore.edu/Fourier/Xforms/FXformIntro.html http://lpsa.swarthmore.edu/Fourier/Xforms/FXFuns.html http://lpsa.swarthmore.edu/Fourier/Xforms/FXPeriodic.html

Fourier Transform of sin(wot) What’s behind door number 1? It’s a Fourier Transofmr of the sin function!