"Because we love Fourier Transforms, and we
know you will too..."

Integrate your function times a complex
exponential From time into frequency - from frequency to time Every operation in the time domain From time into frequency - from frequency to time Let's do some examples... consider
a sine Sine x on x is handy, let's call it
a sinc. |

Listen to the Fourier Song now.

And now - the pop quiz!

(1) Which properties of the Fourier Transform can you recognize from the song?

(2) What transform pairs can you find hidden in the lyrics?

(3) (Extra credit) What, precisely, is the relationship alluded to in the final verse between the width of the transform in frequency, the width of the signal in time, and the uncertainty principle? Is this really "common sense?"

If you're connected to the web, heres are some places
to learn more about Fourier Transforms

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