Homework 4
SOLUTION
EE235, Summer 2012
1. Causal and Stable. These are impulse responses for LTI systems. Which of these LTI system impulse
responses represent BIBO stable systems? Which systems are causal?
(a) h(t) = (t + 2)
|h(t)|dt = 1
Bounded
h(2) >
Homework 4
EE235, Summer 2012
(Due July 24th - Tuesday in class)
1. Causal and Stable. These are impulse responses for LTI systems. Which of these LTI system impulse
responses represent BIBO stable systems? Which systems are causal?
(a) h(t) = (t + 2)
(b)
Homework 3
EE235, Summer 2012
Solution
Each problem or problem-part worth one point.
1
1. An LTI system has impulse response h(t) = (t 2) 2 (t 4). Describe in words what
the output signal y (t) would be given an input x(t).
The system y (t) would be a lin
EE 271 Introduction to Digital Circuits and Systems
HW #2 - Due Tue 23 April 2013
1.) For the following circuits, put them into Product of Maxterms and Sum of Minterms forms.
a.) F
b.)
A B C D A B C D
A B C D C D A B A B C D A B C D
2.) For the followi
271/471 Verilog Tutorial
Prof. Scott Hauck, last revised 10/9/09
Introduction
The following tutorial is intended to get you going quickly in gate-level circuit design in Verilog. It isn't a comprehensive guide to Verilog, but should contain everything you
Lab 1
Introduction to MATLAB and Scripts
EE 235: Continuous-Time Linear Systems
Department of Electrical Engineering
University of Washington
The development of these labs was originally supported by the National Science
Foundation under Grant No. DUE-051
EE235
Univ. of Washington
Sample Final Exam (from another quarter)
The test is closed book and no calculators/devices are allowed. You are allowed TWO
8.511 (two-sided) page of notes.
Please show all work. Partial credit will be given to partial work.
Homework 5
EE235, Summer 2012
Solution
1. Given a dierential equation
d
y (t) y (t) = 0,
dt
nd its solutions.
The corresponding characteristic equation is
s 1 = 0.
So the solutions to this ODE are
y (t) = Cet ,
where C is any constant.
2. Given a dierenti
Homework 7
Solution
EE235, Spring 2012
1. Find the Fourier transform of the following signals using tables:
(a) tet u(t)
h(t) H (j )
1
tet u(t)
(1 + j )2
(b) sin(2t)et u(t)
sin(2t)et u(t)
ej 2t ej 2t t
h(t) = (
)e u(t)
2j
1 j 2t t
1
h(t) =
e
e u(t) ej 2t
Lab 2 Requirements
Eric Swanson
January 11, 2011
1. REMEBER: Comment your functions especially but also your scripts. LABEL and TITLE
ALL plots if you want 10 points. If you know that your x axis is time in seconds, t isnt
too descriptive, Time is better,
EE-235 Autumn 2011
Signals & Systems
Leo Lam
Sample Midterm Exam
Name
Student Number
Notes:
This exam is closed book, closed notes, closed homework and homework solutions. You are
permitted one 8.5 x 11 double-sided sheet of summary notes. No calculator i
Homework 2
EE235, Autumn 2011
Solution
1. Find the total energy in the signal
g (t) = expat (u(t) u(t 2),
where u(t) is the unit step function.
E (t)
|g (t)|2 dt
=
(1)
|expat (u(t) u(t 2)|2 dt
=
2
exp2at dt
=
0
=
=
2. Evaluate
+
(t + 10) + (t 10)dt.
(t
Homework 2
EE235, Summer 2012
Solution
1. Find the total energy in the signal
g (t) = expat (u(t) u(t 2),
where u(t) is the unit step function.
E (t)
|g (t)|2 dt
=
(1)
|expat (u(t) u(t 2)|2 dt
=
2
exp2at dt
=
0
=
=
2. Evaluate
+
(t + 10) + (t 10)dt.
(t
2
2
j
j
1
j
Note that there should have been a 4t here.
Ignore the strike-out part, there was
a typo in the question. The first term
is the one that matters; you should be
able to realize that it is a scaled and
shifted version of the signal in part (a),
Signals & Systems - Chapter 1
1A. Express each of the following complex numbers in Cartesian form (x + jy):
1 j 1 j j / 2 j / 2 j 5 / 2
e , e ,e
,e
,e
, 2 e j / 4 , 2 e j 9 / 4 , 2 e j 9 / 4 , 2 e j / 4 .
2
2
Solution:
ja
cos a j sin a
1 j 1
1
e cos j s