Problem 1: Let x(t) = 1 + sin(Wot) + 2 cos(wot) + cos(2wot +) with wo as the fundamental frequency. Determine the FS coefficients by expanding x(t) directly in terms of complex exponentials. Problem 2: By using the defining equation evaluate the Fourier Transform of the rectangular pulse depicted in the figure below: x(t) A -T T t

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Signal design
Problem 1:
Let
x(t) = 1+ sin(Wot) + 2 cos(wot) + cos(2wot +)
with wo as the fundamental frequency. Determine the FS coefficients by expanding x(t) directly in
terms of complex exponentials.
Problem 2:
By using the defining equation evaluate the Fourier Transform of the rectangular pulse depicted in the
figure below:
x(t)
A
-T
Transcribed Image Text:Problem 1: Let x(t) = 1+ sin(Wot) + 2 cos(wot) + cos(2wot +) with wo as the fundamental frequency. Determine the FS coefficients by expanding x(t) directly in terms of complex exponentials. Problem 2: By using the defining equation evaluate the Fourier Transform of the rectangular pulse depicted in the figure below: x(t) A -T
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