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3 cards from this section. Quick, good the night before a test.
What is the Fourier Transform of f(t) = e^{-3t}u(t)?
Use the similar approach we applied to e^{-2t}.
Describe the function represented by u(t).
Think about its behavior for negative and positive values of t.
What is the Fourier Transform of f(t) = e^{-2t}u(t)?
Think about the general form of the Fourier Transform for exponential functions.
Using the time-scaling property, what is F{rect(3t)}?
Recall the effect of a time compression or expansion on the sinc function.
Explore the Fourier Transform of a combination function f(t) = e^{-t}u(t) + sin(t). How would you approach this?
Break down the function into simpler parts before combining.
Using f(t) = rect(t-1), determine how the Fourier Transform shifts in frequency domain.
Consider the time-shifting property for insight into this shift.
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