EE 341 Fall 2012
EE 341 Homework Chapter 5
5.3 Three functions x1(t), x2(t), and x3(t) have an identical magnitude spectrum X()
but different phase spectra denoted, respectively, by <X1(), <X2(), and <X3();
magnitude and phase plots are shown in Figs. P
EE 341
Fall 2012
EE 341 Homework Chapter 6
6.4 The Laplace transforms of two CT signals x1(t) and x2(t) are given by the following
expressions:
x1 (t )
and
x2 ( t )
s
with ROC ( R1) : cfw_ s >2
s + 5s + 6
2
1
with ROC ( R2 ) : cfw_ s >2
s + 5s + 6
2
D
EE 341
Fall 2012
EE 341 Homework Chapter 7
7.7 Design a Butterworth lowpass filter for the following specifications:
Pass band (010 radians/s)
0.9H()1;
Stop band (>20 radians/s)
H()0.10,
By enforcing the passband requirements. Repeat for the stopb
EE 341 Fall 2012
EE 341 Homework Chapter 4
4.2 For the functions
1(t)=e2t and 2(t)=1Ke4t
Determine the value of K such that the functions are orthogonal over the interval [,].
4.5 The Haar functions are very popular in signal processing and wavele
EE 341 Fall 2012
EE 341 Homework Chapter 3
3.2 For each of the following diff. eqns. Modeling an LTIC system, determine (a) the
zeroinput response, (b) the zerostate response, (c) the overall response and (d) the
steadystate response of the system for
EE 341 Fall 2012
EE 341 Homework Chapter 1
1.5 Determine if the following CT signals are periodic. If yes, calculate the fundamental
period T0:
a)
b)
c)
2
= sin
6
= 2 cos
4
a) 2
2
So
cos
= exp
+
5+

sin
= sin
+
5
5
= sin
+  = cos

8
2
8
+
=
EE 341 Fall 2012
EE 341 Homework Chapter 2
2.1 The electrical circuit shown in Fig. P2.1 consists of two resistors R1 and R2 and a
capacitor C.
(i) Determine the differential equation relating the input voltage v(t) to the output voltage
y(t).
(ii) Determ
EE 341 Fall 2012
EE 341 Exam 1
1. Determine whether the following system is linear, timeinvariant, memoryless,
causal, invertible, and stable. The input is v(t) and the output is y(t).
R1
+
+
v(t)
R2
C
y(t)

2. The input signal x(t) = et u(t) is applie
EE 341
Fall 2005
EE 341  Homework 7
Due October 12, 2005
For problems which require MATLAB, please include a MATLAB mle which shows how you
made your plots.
1. Problem 5.13
2. Problem 5.19
3. Problem 5.20
4. Problem 5.22
5. Problem 5.23
6. Problem 5.25