Fall 2014
ECE 4601: Assignment 1
Date Assigned: August 26, 2014.
Date Due: September 9, 2014.
1. Consider a binary discrete memoryless channel (DMC) shown below,
having the inputs X cfw_0, 1 and outputs Y cfw_0, 1, such that
P (Y = 0|X = 0) = 0.75
P (Y
Fall 2013
ECE 4601: Assignment 2
Date Assigned: September 9, 2013.
Date Due: September 18, 2013.
1. A random process is dened as
X(t) = A cos(2fo t) , t
where fo is a constant.
The amplitude A is uniformly distributed with the probability density funct
Answer of Midterm Examination II on Communication Systems (II)
1. (15%) In the on-off keying version of an ASK system, symbol 1 is represented by trans
mitting a sinusoidal carrier of amplitude 2Eb /Tb , where Eb is the signal energy per bit
and Tb is the
GEORGIA INSTITUTE OF TECHNOLOGY
SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING
Quiz - Fall 2011
ECE 4601: Communication Systems
Aids Allowed: Course text, calculator
Attempt all questions
Questions are of equal value
DATE: Wednesday October 5, 2011.
TIME:
Spring 2010
ECE 4601: Assignment 2
Date Assigned: January 26, 2010.
Date Due: February 4, 2010.
1. Let the random vector X = (X1 , X2 , . . . , Xn )T be jointly Gaussian
with mean vector X = (1 , 2 , . . . , n )T and covariance matrix X .
Dene a new ran
Fall 2013
ECE 4601: Assignment 1
Date Assigned: August 28, 2013.
Date Due: September 9, 2013.
1. Consider a 6 MHz television channel aected by additive white Gaussian noise and assume the received carrier-to-noise ratio P/(No W ) is
equal to 10 dB.
a) W
r? - K
D o Lesa/5
GEORGIA INSTITUTE OF TECHNOLOG
SCHOOL OF ELECTRICAL AND COMPUTER, ENGINEERING
Final Examination Fall 2012
EE 4601: Communication Systems
Aids Allowed: Course textbook DATE: Wednesday December 12, 2012.
one 8% x 11 twoside crib s
Fall 2016
ECE 4601: Assignment 2
Date Assigned: September 13, 2016.
Date Due: September 22, 2016.
1. A random process is defined as
X(t) = A cos(2fo t) , t
where fo is a constant.
The amplitude A is uniformly distributed with the probability density fu
Fall 2016
ECE 4601: Assignment 3
Date Assigned: September 22, 2016.
Date Due: September 29, 2016.
1. Consider the filter h(t) shown below
a) Determine the signal pulse g(t) to which this filter is matched
and sketch it as a function of time.
b) If the s
GEORGIA INSTITUTE OF TECHNOLOGY
SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING
Quiz Fall 2015
ECE 4601: Communication Systems
Aids Allowed: 8 1/2X11 crib sheet, calculator DATE: Thursday October 8, 2015.
Attempt all questions TIME: 12:05pm - 1:25pm
Questio
Fall 2016
ECE 4601: Assignment 1
Date Assigned: August 30, 2016.
Date Due: September 13, 2016.
1. Consider a binary discrete memoryless channel (DMC) shown below,
having the inputs X cfw_0, 1 and outputs Y cfw_0, 1, such that
P (Y = 0|X = 0) = 0.75
P (Y
EE4601
Communication Systems
Week 2
Review of Probability,
Important Distributions
0
c 2011, Georgia Institute of Technology (lect2 1)
Conditional Probability
Consider a sample space that consists of two events A and B.
The conditional probability P (A|B
EE4061
Communication Systems
Week 11
Error Probably Bounds
Intersymbol Interference
Nyquist Pulse Shaping
0
c 2011, Georgia Institute of Technology (lect10 1)
Binary Error Probability
Consider two signal vectors s1 and s2.
The received signal vector is
r
ECE4601
Communication Systems
Week 15
Orthogonal Frequency Division Multiplexing
0
c 2013, Georgia Institute of Technology (lect13 1)
Block Modulation
x k, 0
X
x k,n
serial/
parallel
.
.
.
.
e j 2 f0tuT ( t )
x k, N-1
.
.
.
.
~ (t)
s
+
X
e j 2 fN -1 tu (
EE4601
Communication Systems
Week 14
Noncoherent Detection
Dierential Detection
0
c 2013, Georgia Institute of Technology (lecture 24 1)
Noncoherent Detection
With noncoherent detection, the carrier phase is not recovered at the receiver.
Information is
EE4601
Communication Systems
Week 13
Linear Zero Forcing Equalization
0
c 2012, Georgia Institute of Technology (lect13 1)
Equalization
The cascade of the transmit lter g(t), channel c(t), receiver lter h(t) yields
the overall pulse
p(t) = g(t) c(t) h(t
EE4601
Communication Systems
Week 10
Non-Binary Signal Sets
QAM Error Probability
0
c 2012, Georgia Institute of Technology (lect21 1)
M -ary PAM
With M-ary Pulse Amplitude Modulation, information is transmitted in the carrier amplitude, such that the am
EE4601
Communication Systems
Week 9
Binary Modulated Signal Sets
0
c 2011, Georgia Institute of Technology (lect8 1)
Binary PSK (BPSK)
With BPSK information is transmitted in the carrier phase. Two sinusoids are
used having a relative phase dierent of ra
'
$
EE4601
Communication Systems
Week 6
Orthogonal Expansions
&
0
c 2011, Georgia Institute of Technology (lect6 1)
%
'
Basic Problem
$
Problem:
Suppose that we have a set of M nite energy signals S = cfw_s1 (t), s2(t), . . . , sM (t),
where each signal h
EE4601
Communication Systems
Week 12
Partial Response Signals
0
c 2012, Georgia Institute of Technology (lect11 1)
Objective
Objective: Signals with a baud rate of 2W symbols/sec in a bandwidth of W Hz
with realizable lters.
cfw_a k
g(t)
c(t)
a k cfw_1,+
EE4601
Communication Systems
Week 3
Random Processes, Stationarity, Means, Correlations
0
c 2011, Georgia Institute of Technology (lect3 1)
Random Processes
A random process or stochastic process, X(t), is an ensemble of sample functions cfw_X1 (t), X2(t
EE4601
Communication Systems
Week 4
Ergodic Random Processes, Power Spectrum
Linear Systems
0
c 2011, Georgia Institute of Technology (lect4 1)
Ergodic Random Processes
An ergodic random process is one where time averages are equal to ensemble
averages.
EE4061
Communication Systems
Week 8
Coherent Signal Detection
0
c 2012, Georgia Institute of Technology (lect7 1)
Optimum Coherent Detection
Suppose that we have M signals s1 (t), s2(t), . . . , sM (t) that are dened over the
time interval 0 t T , where
EE4601
Communication Systems
Week 5
Noise and Matched Filters
Error Probability with Binary Signaling
0
c 2010, Georgia Institute of Technology (lect5 1)
Thermal Noise
Thermal noise aect all communication receivers.
From fundamental physics (which we wil