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=== Answer 1 === | === Answer 1 === | ||
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| + | Use answer to previous practice problem and the time shifting property. | ||
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| + | <math>\mathfrak{F}\Bigg(s(t-t_0)\Bigg)=e^{j\omega t_0}\mathfrak{F}\Bigg(x(t)\Bigg)</math> | ||
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| + | Therefore, | ||
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| + | <math>\chi(\omega)=e^{j\omega \frac{\pi}{12}}2\pi \delta(\omega-2\pi k)</math> | ||
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| + | --[[User:Cmcmican|Cmcmican]] 20:52, 21 February 2011 (UTC) | ||
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=== Answer 2 === | === Answer 2 === | ||
Write it here. | Write it here. | ||
Revision as of 15:52, 21 February 2011
Contents
Practice Question on Computing the Fourier Transform of a Continuous-time Signal
Compute the Fourier transform of the signal
$ x(t) = \cos (2 \pi t+\frac{\pi}{12} )\ $
You will receive feedback from your instructor and TA directly on this page. Other students are welcome to comment/discuss/point out mistakes/ask questions too!
Answer 1
Use answer to previous practice problem and the time shifting property.
$ \mathfrak{F}\Bigg(s(t-t_0)\Bigg)=e^{j\omega t_0}\mathfrak{F}\Bigg(x(t)\Bigg) $
Therefore,
$ \chi(\omega)=e^{j\omega \frac{\pi}{12}}2\pi \delta(\omega-2\pi k) $
--Cmcmican 20:52, 21 February 2011 (UTC)
Answer 2
Write it here.
Answer 3
Write it here.
