EEE 304
Test 1
NAME: _
Closed bookclosed notes, transform tables allowed, 30
Problem 1:
Consider the continuous time system with transfer function H ( s ) =
1
.
s + s +1
2
1. Sketch the ROC if the system is causal.
Poles are at
2.
1
3
j
. The causal sys
EEE 304
HW 3
SOLUTIONS
Problem 1:
Do Problems 7.30, 7.31, 7.41 from the textbook.
7.30
The impulse response is the inverse Laplace of the transfer function:
1
1
x (s) =
s +1
s +1
t
yc (t ) = e u (t )
yc ( s ) =
y ( n) = e nT u ( nT ) = n u ( n), = e T
z
EEE 304
Homework 2
SOLUTIONS
Problem 1:
Consider the following systems:
1. Transfer function H ( s ) =
s 1
(Continuous time, causal)
( s + 2)( s + 1)
2. Transfer function H ( z ) =
0.04113 z 2  0.004329 z  0.04545
(Discrete time, causal)
z 2  1.723 z +
EEE 304
HW 5
SOLUTIONS
Problem 1:
For the feedback system shown below, compute the transfer functions u/d, e/r, y/d.
d
r
+
e
C(s)
u
P(s)
+
y

u(s)
CP
=
,
d ( s ) 1 + CP
e( s )
1
=
,
r ( s ) 1 + PC
y ( s)
P
=
d ( s ) 1 + PC
Problem 2: (Low Bandwidth Cont
EEE 304
HW 4
SOLUTIONS
Do Problems 8.22, 8.40, 8.49 from the textbook.
Problem 8.22 from the textbook.
1
modulation 5w_m
1/2
bandpass 35w_m
modulation 3w_m
1/4
lowpass 3w_m
Problem 8.40 from the textbook.
From the problem statement,
The product sin.cos a
EEE 304
Test 5
Name: _SOLUTIONS_
Closedbook closednotes, tables allowed, 30
Problem 1:
For the feedback system shown below, compute the transfer functions from r to e (e/r) and from
d to e (e/d).
d
r
+
e
C(s)
v
y
P(s)
+
_
1
,
1
1
Problem 2:
For the feed
EEE 304
TEST 4
NAME:_
Closedbook, closednotes, Transform Tables allowed, 30
Problem:
Determine the signal produced if the following sequence of operations is performed on a signal
x(t) that is bandlimited to wm (i.e., X(jw) = 0 for w> wm). Suppose tha
EEE 304
Test 3
NAME:_
30min, Closedbook, closednotes, calculators and transform tables allowed
Problem 1:
Suppose that a continuoustime signal x(t) is bandlimited to 10Hz and it is processed by DT
.
and Ts = 0.01s. Find the
system with ideal sampling a
EEE 304
Test 2
Name: _Solutions_
Closed bookclosed notes, transform tables allowed, 30
Problem 1:
For the continuoustime causal system with transfer function H ( s ) =
s
compute the
( s + 1)
steadystate response to the input x(t) = sin(t)u(t10).
1. 
NAME_SOLUTIONS_
EEE 304
HW 1
Problem 1:
Consider the filter with impulse response h(t ) = e
3 t
u (t 1) .
1. Find the transfer function
2. Find the Laplace transform of the output when x(t )
= sin(t )u (t )
3. Find the output by taking the inverse Laplace