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EE301 Signals and Systems
InClass Exam
Exam 3
Thursday, April 21, 2005
Cover Sheet
Test Duration: 70 minutes.
Coverage: Chaps. 5 and 7
Open Book but Closed Notes (NO LOOSE SHEETS)
Calculators NOT allowed.
This test contains
two
problems.
All work should be done in the blue books provided.
You must show all work for each problem to receive full credit.
Do
not
return this test sheet, just return the blue books.
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View Full DocumentProblem 1.
Consider the discretetime LTI system described by the following diﬀerence
equation.
y
[
n
]=
x
[
n
]

x
[
n

4]
(1)
(a) Plot the magnitude

H
(
e
jω
)

and phase
±
H
(
e
jω
) (two separate plots) of the frequency
response of this system, equal to the DTFT
H
(
e
jω
) of the impulse response
h
[
n
], as a
function of frequency over

π<ω<π
. Show as much detail as possible.
For EACH of the remaining parts of this problem, you must do EACH of the following
THREE steps. For all parts, you MUST show all work and explain how you got your answer
concisely, but with suﬃcient detail to receive full credit.
(i) Plot the magnitude
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 Spring '06
 V."Ragu"Balakrishnan

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