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salimham1
homework3.docProblem1: (25 points)Using the uniqueness property of the Fourier series, find exponential Fourier series for the following signals:
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)
)
4
(
)
(
with
)
(
+
=
P
=
t
x
t
x
t
t
x
Problem 2.(25 points) Sketch the following periodic wave-forms
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¥
=
-¥
=
-
Õ
=
n
n
n
t
t
x
]
3
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6
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1
Problem3 (25 points)
Find the complex exponential Fourier series and the equivalent trigonometric form for the periodic signal
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(
cos
)
(
0
2
1
t
t
x
w
=
Problem 4: (25 points)
Use the definition of the Fourier transform to find the spectrum of the following signal
)
(
e
)
(
8
t
u
t
x
t
-
=
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)
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4
(
)
(
with
)
(
+
=
P
=
t
x
t
x
t
t
x
