Chapter 3
Analog Communication Techniques
From Introduction to Communication Systems
Copyright by Upamanyu Madhow, 2008-2011
Modulation is the process of encoding information into a signal that can be transmitted (or
recorded) over a channel of interest.
Winter 2016
UCSB
ECE 146A: Solutions to Problem Set 1
Problem 2.1 (a) We do this in two ways. The first is to directly show that y = x h for some
h, which shows that the system is LTI with impulse response h. We can rewrite
Z
Z
(tu)
y(t) =
e
Icfw_ut x(u
Winter 2016
UCSB
ECE 146A: Solutions to Problem Set 4
S(f)
1/b
1/a
a/2
=
*
a/2
b/2
S(f1/T)
1/a
(ab)/2 (a+b)/2
b/2
f
1/(2T) = a/2
Figure 1: The spectrum S(f ) for the pulse in Problem 4.3, which is a convolution of two boxes
in the frequency domain.
Proble
Winter 2016
UCSB
ECE 146A: Solutions to Problem Set 1
1
0.9
0.8
0.7
S(f)
0.6
0.5
0.4
0.3
0.2
0.1
0
5
4
3
2
1
0
1
2
3
4
5
f
Figure 1: Spectrum of the tent signal in Problem 2.8(a) is sinc2 (f ).
Problem 2.8 (a) The tent signal can be written as a convoluti
UCSB
Winter 2016
ECE 146A: Solutions to Problem Set 5
Problem 1 X N (2, 9), so X(2)
N (0, 1). We express probabilities in terms of
= X+2
3
9
the Q function with positive arguments. (Numerical evaluation omitted.)
(a)
X +2
10 + 2
P [X > 10] = P
>
= Q(8/3)
Chapter 2
Signals and Systems
From Introduction to Communication Systems
Copyright by Upamanyu Madhow, 2008-2011
A communication link involves several stages of signal manipulation: the transmitter transforms
the message into a signal that can be sent ove
ECE 146A: Communications I
Lab 5: Angle Modulation and Demodulation Hardware
Lab Report Due: Thursday March 10 (by 5 pm in course homework box)
1
Objective
The goal of this lab is to investigate the properties and characteristics of a frequency modulated
ECE 146A: Communications I
Lab 4: Amplitude Modulation and Demodulation Hardware
Lab report due Thursday Feb 24 (at the beginning of the lab session)
(at the beginning of class)
1
Objective
The goal of this lab is to get a hands on feel for amplitude modu
ECE 146A: Communications I
Lab 3: Amplitude Modulation and Demodulation
Lab Report: Due at the beginning of lab Thursday, February 10
1
Objective
The goal of this lab is to implement three types of amplitude modulation: conventional amplitude
modulation (
ECE 146A: Communications I
Lab 2: Introduction to Complex Baseband Models
Carrier Phase Uncertainty and Wireless Multipath Channels
Lab Report: Due at the beginning of lab Thursday Jan 27
1
Objective
The goal of this lab is to explore modeling and receive
ECE 146A: Communications I
Lab 1: Introduction to Matlab, Simulink, and the Communication
Toolbox
Lab Report Due: At the next lab session on Thursday, January 13, 2011
1
Objective
The objective of this lab is to learn how to access Matlab, Simulink, and t
Winter 2016
UCSB
ECE 146A: Solutions to Problem Set 3
Problem 2.20 (a) For a frequency reference of fc = 50, or a phase reference of 100t, the
complex envelope of up (t) can be read off as u(t) = sinc(2t). The complex envelope of vp (t) with
respect to 10