2.10. Determine the output of a linear time-invariant system if the impulse response h[n] and
Chapter 2
the input x[n] are as follows:
(a) x[n] = urn] and h[n] = anu[-n -1], with a> 1.
(b) x[n] = urn - 4] and h[n] = znu[-n - 1].
(c) x[n] = urn] andh[n] =

Homework from Week 13
Homework Question 1:
Window: Hamming with 7 coefcients N = (7 1)/2 = 3. Then we have
0.54 + 0.46 cos n
3
0
w3 (n) =
if 0 < |n| 3
if |n| > 3
Ideal Response: FIR differentiator gives
hideal (n) =
0
if n = 0
if n = 0
(1)n
n
The non-cau

1
ESE 337
NAME:
Fall 2012
I.D.:
TEST I.
PUT YOUR NAME ON ALL PAGES and SHOW YOUR WORK.
1)(25 pts.) For each of the following continuous-time sinusoids, x(t), nd the corresponding real discrete-time sinusoid, (xn ), and the corresponding complex discrete-t

Homework from Week 7
Homework Question 1:
For problems 3.16 and 3.17, see the solutions to homework 3.
For the additional plots,
2
X( kS )
XS () = 1/T
k=2
compared to the plots of Xd (), the following gnuplot instructions
j = cfw_0,1
T=0.5
wS = 2*pi/T # 2

2/25/2010
Lecture Notes:
Carnegie Mellon's Hans Moravec has mapped out a future well into the new century, drawing a strong parallel between robot intelligence (measured by computer processing power) and biological intelligence
Lecture Notes:
Moravec draw

2/18/2010
Intellectual Property and Changing Technology
What is Intellectual Property? The intangible creative work, not its particular physical form Value of intelligence and artistic work comes from creativity, ideas, research, skills, labor, non-materi

2/18/2010
What We Will Cover
Hacking Identity Theft and Credit Card Fraud Scams and Forgery Crime Fighting Versus Privacy and Civil Liberties Laws That Rule the Web
Hacking
Hacking currently defined as to gain illegal or unauthorized access to a file,

2/4/2010
Lecture Notes: Ethics
Why is a product potentially good or bad?
Why?
(1)
Coca-Cola people like the product, but the
manufacturing process (child labor) was being
to give you some practice at doing philosophy
(2) because ethics will be our main a

2/4/2010
Announcements
Reminder This is a survey course that explores the impact of technology and engineering design on society past, present, and future. The main themes as they relate to changing technology are: industry and the economy; the environmen

4/27/2010
Announcements
Due Dates for Podcast Discussions Grades Extra Credit (Past/Current) Midterm 2 Review
100 Multiple Choice Questions
Not Cumulative, but includes podcasts, notes, related articles.
Future of Trends in Technology
Spring 2007 the star

4/27/2010
Technological Trends: Generalization
AMONG THE HUNDREDS OF TRENDS IN TECHNOLOGY that have been detected over the past decade, the following 10 that strike me as general across all fields and rich in their implications for strategic planning. The

1
ESE 337
NAME:
Fall 2012
I.D.:
TEST II.
PUT YOUR NAME ON ALL PAGES and SHOW YOUR WORK.
1)(25 pts.) A function is dened by:
H(z) =
1 + z 1
1 (13/6)z 1 + z 2
1. nd the inverse one-sided Z-transform
Poles:
z 2 (13/6)z + 1 = 0 zp =
13
12
169
13
1=
144
12
25

ESE337 Homework Solution 7
Problem 8.2
(a)
From analysis equation, we have
N1
WN = e j(2/N)
kn
x[n]WN ,
X[k] =
n=0
Also x[n] is periodic with 3N, we have
3N1
X3 [k] =
W3N = e j(2/3N)
kn
x[n]W3N ,
n=0
We can write X3 [k] as
2N1
N1
X3 [k] =
kn
x[n]W3N +
n=

ESE337 Homework Solution 2
Problem 2.11
We rewrite x[n] as sum of complex exponentials:
x[n] = sin(
n
n
n
1
) = (e j 4 e j 4 )
4
2j
Since complex exponentials is eigenfunctions of LTI systems, we have:
y[n] =
1
[H(e j 4 )e j 4 n H(e j 4 )e j 4 n ]
2j
When

ESE337 Homework Solution 1
Problem 2.1
(c)
n+n0
T (x[n]) =
x[k]
k=nn0
1. Stable.
If |x[n]| Bx < , n, then |T (x[n])| (2n0 + 1)Bx < . So it is stable.
2. Not causal.
T (x[n]) depends on future values of x[n], so it is not causal.
For example, x1 [n] = [n

4/8/2010
What We Will Cover
Failures and Errors in Computer Systems Case Study: The Therac-25 Increasing Reliability and Safety Dependence, Risk, and Progress
Failures and Errors in Computer Systems
Most computer applications are so complex it is virt

3/17/2010
Analyzing Technological Trends
Trend analysis tools are used for comparing and analyzing trends in aggregate survey data. With trend analysis you can plot variables like the mean, standard dev., variance and mean percentile over a period of time

3/17/2010
Lecture Notes:
Biomedical Technology - is a collection of technologies that capitalize on the attributes of cells, such as their manufacturing capabilities, and out biological molecules, such as DNA and proteins to work for us. It is the applica

E SE 3 37
Icfw_ame
Exarn I V
ID n o.
Fall, 2 008
1. D esign a t ype I FIR f ilter o f o rder 2 t o L S m atch t he i deal h ighpass f ilter H a ( r ) - D ( u ) e -J' w ith
D(,r)
(0
t
1
for0<LrS1 forl.5S'.,1r
a t u : 0 , 0 . 8 ,1 . 5 , 2 . 2 a n d z r . (2

E Str 3 37
Name
E xarn I V
I D ' o'
F all. 2 007
l iighm 1. D esign a t ype I F IR f ilter o f o rder 2 t o l east-square atch t he i deal * D (-' )e-r' q ' i th p a s sf i l te r H ,t(r)
D(;)cfw_i
fO
for0(*'(1
rorr;SrS,
a t e , -t 0 , 1 . 2 . 1 ' 4 1 6 ,