Practice Important Standard Fourier Transforms (11.6)

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6 sample questions

Question 1.
What is the Fourier Transform of the Dirac delta function?
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Think about the property of impulse signals.
Question 2.
What is the Fourier Transform of e^(-at)u(t)?
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Consider what happens to exponential decay in the frequency space.
3Question 3.
What is the Fourier Transform of δ(t)?
- 1
- 2πδ(ω)
- 0
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Consider impulse response.
4Question 4.
True or false: The Fourier Transform of e^(-at)u(t) is 1/(a+iω).
- True
- False
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Think about the behavior of decaying signals.
Question 5.
Find the Fourier Transform of a signal composed of both sin(2t) and cos(2t).
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Use linearity of transforms.
Question 6.
Derive the Fourier Transform for a piecewise rectangular function.
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Break it into manageable segments.

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