This preview shows pages 1–5. Sign up to view the full content.
ECSE2410 SIGNALS AND SYSTEMS
SPRING 2003
Rensselaer Polytechnic Institute
EXAM #2 (1 hour and 50 minutes)
February 26, 2003
Check One:
C Sect. 1
10am (Wozny)
C Sect. 2
12:30pm (Desrochers)
NAME: __________________________________________
C Sect. 3
2:30pm (Yuksel)
Do all work on these sheets.
Tables will be handed out separately.
One page of crib notes allowed.
Calculators allowed.
Label and Scale axes on all sketches and indicate all key values
Show all work for full credit
Total Grades for Exam:
PART I
1
Grades for
Points
Score
Part I
34
Part II
33
Part III
33
TOTAL
100
Problem
Points
Grade
1(a)
9
1(b)
4
2(a)
5
2(b)
5
3
11
TOTAL
34
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 1(13 pts).
(a)(9 pts)
Find
)
(
X
1
ϖ
, the Fourier transform of
(t)
x
1
, where
≤
≤
else
0
1
t
1

t
=
(t)
x
1
Use the tables and the properties. No credit if you integrate the Fourier integral.
(b)(4 pts)
Find
)
(
X
2
, the Fourier transform of
(t)
x
2
, where
≤
≤
else
0
2
t
0
t

1
=
(t)
x
2
Express
)
(
X
2
in terms of
)
(
X
1
.
2
2(10 pts).
Find the Fourier transform of
(a)(5 pts)
x
1
(
t
)=[e

t
u
(
t
)]cos(2
t
)
(b)(5 pts)
x
2
(
t
)=e
(1+
j
)
t
u
(
t
)
3
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document 3(11 pts).
This is the end of the preview. Sign up
to
access the rest of the document.
This test prep was uploaded on 04/10/2008 for the course ECSE 2410 taught by Professor Wozny during the Spring '07 term at Rensselaer Polytechnic Institute.
 Spring '07
 WOZNY

Click to edit the document details