ECE 370 SIGNALS AND SYSTEMS - FALL 2012
Text: These lecture notes and board notes.
Optional Texts: H.P. Hsu, Signals & Systems. Shaum's Outline: McGrawcfw_Hill, 1995.
This is essentially a good source of worked examples, all in the standard EE notation th
FINAL EXAM
ECE 370 SIGNALS AND SYSTEMS
Thursday, 10 December 2009, 11:30 am - 2:00 pm
Name
CLOSED BOOK
Read each question carefully. Show work, not just answers.
Problems 1 through 8 are 10 points each.
Problem
Problem
Problem
Problem
Problem
Problem
Prob
ECE 370 fan ,23 00/1007
PROBLEM 1. [25 = 20 + 5 points]
1”! t w‘ t
FQA: A880“) = MN
0 \ ’5‘”
_-.—. .4. L5. -3”?
SW
“LL-‘77
ﬁg Ha:- A 7707-73)
= ﬁT fivx SW136ISWT/1
w z ‘
3min ﬁwT/z ’WTA
_., 1.41 5 —e e ._:
ad ’-——:“"'——’
J
(b) [5 points] What is the val
TEST 1
ECE 370 SIGNALS AND SYSTEMS
Friday, 10 September 2010, 12:00 am — 12:50 pm
Name
CLOSED BOOK, NO CALCULATOR
Read each question carefully. Show work, not just answers.
Problems 1 through 4 are 25 points each.
Problem 1
Problem 2
Problem 3
Proble
ECE 370 TEST 2 15 October 2010 Avg=52.8 StDev=19.3
100 pm: pm [ma/t) «gm/Wei] it .- ~15 57K am if
’09
PROBLEM 1. [10 + 4 + 4 + 2 = 20 points]
(a) [logpoints] Find an expression for the spectrum T‘
O L bl
,zj (ax/W) 0‘ T = [J “do/(wﬂ) .-.~ 3% 5;“ («2
ECE 370 TEST 2 15 October 2010 Avg=52.8 StDev=19.3
100 pm: pm [ma/t) «gm/Wei] it .- ~15 57K am if
’09
PROBLEM 1. [10 + 4 + 4 + 2 = 20 points]
(a) [logpoints] Find an expression for the spectrum T‘
O L bl
,zj (ax/W) 0‘ T = [J “do/(wﬂ) .-.~ 3% 5;“ («2
TEST 2(A)
ECE 370 SIGNALS & SYSTEMS
Wednesday, 14 October 2015, 12:00 12:50 pm
Name
CLOSED BOOK, NO CALCULATOR
DIRECTIONS
1. Write your name on THIS test, to be turned-in WITH your computer-scored
(scantron) answer sheet.
2. Bubble in your name and CWID o
SOLUTIONS TO almost. ALL THE PROBLEMS IN THE ECE 370 NOTES
Approach your problems from the right end and begin with the answers. Then one day,
perhaps you will nd the nal question.
R. van Gulik The Chinese Maze Murders"
If you cant solve a problem, then t
SocormM§
Quiz #6
ECEn 380 — Fall 2015
You have 10 minutes to complete the following quiz. Closed book, closed note, and closed
neighbor.
1. Find the Discrete Time Fourier Transform (DTFT) ofx[n] = { 1, g, 1 }. Simplify your
answer until there are no compl
ECEn 380: Signals & Systems
‘ Fall 2015
Closed book, closed note, closed neighbor, no calculators allowed. Time limit is 15 minutes. 20 points + 2 extra
credit points possible.
HOMEWORK:
1. The continuous—time signal x(t) = cos(301tt) + cos(707rt) is impu
Quiz #6
ECEn 380 Fall 2015
You have 10 minutes to complete the following quiz. Closed book, closed note, and closed
neighbor.
1. Find the Discrete Time Fourier Transform (DTFT) of x[n] = cfw_ 1, 2, 1 . Simplify your
answer until there are no complex expon
Quiz #4
ECEn 380: Signals & Systems
Fall 2015
Closed book, closed note, closed neighbor, no calculators allowed. Time limit is 15 minutes. 20 points + 2 extra
credit points possible.
HOMEWORK:
1. The continuous-time signal x ( t )=cos (30 t )+ cos ( 70 t
Quiz #4
ECEn 380: Signals & Systems
Fall 2015
Closed book, closed note, closed neighbor, no calculators allowed. Time limit is 15 minutes. 20 points + 2 extra
credit points possible.
HOMEWORK:
1. The continuous-time signal x ( t )=cos (30 t )+ cos ( 70 t
Quiz #2
ECEn 380: Signals & Systems
Fall 2015
Closed book, closed note, closed neighbor, no calculators allowed. Time limit is 15 minutes.
20 points + 2 extra credit points possible.
HOMEWORK SECTION:
1. Find the Fourier transform of the following functio
Quiz #5
ECEn 380: Signals & Systems
Fall 2015
Closed book, closed note, closed neighbor, no calculators allowed. Time limit is 15 minutes.
20 points total possible.
1. Find the inverse z-Transform of the following signal:
z 2 +3 z+ 2
2 z3
2. Consider an L
t t t
T5 cfw_c1x1(t) + C2$2(t) = / [01$1(T) + 0250200] air = 01 / 351(7) d7 + 02 / $2(T) d7
00 00 00
= 61T3cfw_.l1(t) + 62T3 cfw_.102 (t) superposition satised
Now T6cfw_:v(t) = $20) is not linear, as well show. In general, to show linearity, the
constant
l
' step sequence lim 5 [1 + tanh(at)] = u(t)
(1)00
efore be another Diracdelta. sequence
am dt 2 [1 + @1th = 011.120 gsech2(at) = (W).
188 0.8
0.6
g sech2 (at)
0.4
0.2
page 9. First, lets state a version of the mean value theorem of the integral that