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

2. Pulse Function

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

4. Dirac Delta function d(t)

5. Fourier Transform of cos(wot)

6. Image Credits Eric Cheever, Swarthmore College:

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