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Department of Electrical and Computer Engineering
University of Maryland
ENEE 322
A. Tits
Signal and System Theory
October 11, 2005
First MidTerm Examination
Please make sure you answer all the questions.
Question 1 (5 pts):
For each of the statements below, indicate whether it is true or false. Carefully justify
your answers. (Without justiﬁcation, you get no credit for a correct answer.)
(a) (1 pt) Suppose the input signal
x
and output signal
y
of a system
S
are related by
y
(
t
) = exp(
x
(
t
))
for all
t
. Then
S
is stable.
(b) (1 pt) If a signal is not even, it must be odd.
(c) (1 pt) The sum of two periodic signals is always periodic.
(d) (2 pts) Consider a system
S
whose input
x
and output
y
obey the di±erential equation
˙
y
(
t
) +
y
(
t
) =
x
(
t
) + 1
.
If appropriate auxiliary conditions are imposed,
S
can be linear.
Question 2 (10 pts):
(a) (6 pts) Consider an LTI system
S
1
with unit impulse response
h
1
(
t
) =
n
1 when

t
 ≤
1
0 otherwise.
Determine
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This note was uploaded on 04/07/2008 for the course ENEE 322 taught by Professor Tretter during the Fall '03 term at Maryland.
 Fall '03
 Tretter

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