EE 444/544: Wireless Communications
Week 6:
Modulation Techniques for Mobile
Communication
11 March 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection (Today!)
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline D
EE 444/544: Wireless Communications
Week 5:
Mobile Radio Propagation III
04 March 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline Due
Week 13 => Friday April
EE 444/544: Wireless Communications
Week 4:
Mobile Radio Propagation II
26 February 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline Due
Week 13 => Friday Apri
EE 444/544: Wireless Communications
Week 3:
Mobile Radio Propagation
19 February 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline Due
Week 13 => Friday April 2
Advantages of Constant Envelope
Modulation
Power efficient Class C amplifiers can be used
without introducing degradation in the spectrum.
Low out of band radiation of the order 60dB to
-70dB
Simplified Receiver Design and high immunity against
random
EE 444/544: Wireless Communications
Week 11:
Diversity Techniques and Introduction to OFDM
15 April 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline Due
We
EE 444/544: Wireless Communications
Week 2:
Introduction to Wireless Communication
Systems
12 February 2016
1
Project Schedule
Week 6 => Friday March 11
Topic Selection
Week 8 => Friday March 25
References Due
Week 10 => Friday April 08
Outline Due
EE 444/544: Wireless
Communications
Dr. Engin Zeydan
Engin.Zeydan@ozyegin.edu.tr
05 February 2016
Overview
Goal of this Course
Contents of the course
Tentative Schedule
Project
Grading
Goal of This Course
Describe the past and present wireless communicat
zyein University
Department of Electrical and Electronics
Engineering
EE 450/550 WIRELESS NETWORKS
HOMEWORK #2 (due 20 April 2015)
1. Summarise the main features of 3rd generation mobile phone systems. How do they
achieve higher capacities and higher data
Ozyegin Univ. EE503 Spring 2015
Due 5pm, May 20, 2015
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
Homework 9
1. Consider the following discrete time random process:
X0 N (0, a)
Xn = 1 Xn1 + Zn ,
2
n 1,
where Z1 , Z2 , Z3 , .
Ozyein University
g
EE503 - Stochastic Processes - Spring15
Midterm 3 Solutions
Question 1 - Wiener Process (25 Points)
Suppose X(t) is a Weiner Process (Brownian Motion) with zero mean and autocovariance
function CX (t1 , t2 ) = min(t1 , t2 ). Assume t0
Ozyegin Univ. EE503 Spring 2015
Due 5pm Apr. 25, 2015
Homework 7
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
1. In the lecture it was stated that conditionals of a Gaussian random vector are Gaussian. In this
problem you will
Ozyegin Univ. EE503 Spring 2015
Due 5pm, May 20, 2015
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
Homework 9
1. Consider the following discrete time random process:
X0 N (0, a)
Xn = 1 Xn1 + Zn ,
2
n 1,
where Z1 , Z2 , Z3 , .
Ozyegin Univ. EE503 Spring 2015
Due 5pm Apr. 15, 2015
Homework 6
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
1. Radar signal detection. The received signal S for a radar channel is 0 if there is no target and a random
variabl
Ozyegin Univ. EE503 Spring 2015
Due in class of Mar. 5, 2015
Homework 2
1. Let X be a random variable with the cdf shown below.
F (x)
1
2/3
1/3
1 2
x
3
x
1
2
3
4
Find the probabilities of the following events.
(a) cfw_X = 2.
(b) cfw_X < 2.
(c) cfw_X = 2 c
Ozyegin Univ. EE503 Spring 2015
Due 5pm Apr. 25, 2015
Homework 7
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
1. In the lecture it was stated that conditionals of a Gaussian random vector are Gaussian. In this
problem you will
Ozyegin Univ. EE503 Spring 2015
Due in class Apr. 9, 2015
Homework 5
1. Let X U[0, 1] and Y N (0, X 2 ). Find E XY 2 .
Solution:
1
E XY 2 = E E XY 2 |X
= E X E Y 2 |X
x3 dx =
= E XX 2 = E X 3 =
0
1
.
4
2. Let and X be random variables with
f () =
2
5 3
3
Ozyegin Univ. EE503 Spring 2015
Due in class Apr. 2, 2015
Homework 4
1. Function of uniform random variables.
Let X and Y be two independent U[0, 1] random variables. Find the probability density function (pdf)
of Z = [(X + Y ) mod 1] (i.e., Z = X + Y if
Ozyegin Univ. EE503 Spring 2015
Due 5pm Apr. 15, 2015
Homework 6
Please scan and send your homework to my e-mail: ali.ercan@ozyegin.edu.tr
1. Radar signal detection. The received signal S for a radar channel is 0 if there is no target and a random
variabl
Ozyegin Univ. EE503 Spring 2015
Due in class of Feb. 26, 2015
Homework 1
1. Monty Hall. Gold is placed behind one of three curtains. A contestant chooses one of the curtains.
Monty Hall, the game host, opens an unselected empty curtain. The contestant can
Ozyegin Univ. EE503 Spring 2015
Due in class Mar. 12, 2015
Homework 3
1. Consider the Laplacian random variable X with pdf f (x) = 1 e|x| .
2
(a) Sketch the cdf of X.
(b) Find Pcfw_|X| 2 or X 0 .
(c) Find Pcfw_|X| + |X 3| 3 .
Solution:
(a) We consider two
Ozyegin Univ. EE503 Spring 2015
Due in class, May 14, 2015
Homework 8
1. Digital modulation using PSK: The data to be modulated, cfw_Xn : n 0 , is modeled by a Bernoulli
process with p = 1/2. Dene the discrete-time phase process cfw_n : n 0 by
n =
+
2
if
Ozyegin Univ. EE503 Spring 2015
Due in class Apr. 9, 2015
Homework 5
1. Let X U[0, 1] and Y N (0, X 2 ). Find E XY 2 .
2. Let and X be random variables with
f () =
2
5 3
3
01
0
otherwise
and X|cfw_ = Exp(). Find E(X).
3. Which of the following matrices
Ozyegin Univ. EE503 Spring 2015
Due in class Mar. 12, 2015
Homework 3
1. Consider the Laplacian random variable X with pdf f (x) = 1 e|x| .
2
(a) Sketch the cdf of X.
(b) Find Pcfw_|X| 2 or X 0 .
(c) Find Pcfw_|X| + |X 3| 3 .
1
2. Let X be a r.v. with Lap
Ozyegin Univ. EE503 Spring 2015
Due in class of Feb. 26, 2015
Homework 1
1. Monty Hall. Gold is placed behind one of three curtains. A contestant chooses one of the curtains.
Monty Hall, the game host, opens an unselected empty curtain. The contestant can
Ozyein University
g
EE503 - Stochastic Processes - Spring15
Midterm 2 Solutions
Question 1 - Estimation (40 Points)
y
2
Consider the joint pdf of the random variables X and Y
given on the right. That is,
fX,Y (x, y) =
2
3,
0,
0 x 2 y, 0 y 1,
otherwise.
1
Ozyegin Univ. EE503 Spring 2015
Due in class, May 14, 2015
Homework 8
1. Digital modulation using PSK: The data to be modulated, cfw_Xn : n 0 , is modeled by a Bernoulli
process with p = 1/2. Dene the discrete-time phase process cfw_n : n 0 by
n =
+
2
if
Ozyein University
g
EE503 - Stochastic Processes - Spring15
Midterm 1 Solutions
Question 1 - Two Random Variables (50 Points)
y
2
Consider the joint pdf of the random variables X and Y
given on the right. That is,
fX,Y (x, y) =
0 x 2 y, 0 y 1,
otherwise.
Week 6: Wireless
Cellular Networks: 2G
and 2.5G
16 March 2015
Course Plan - Remaining Weeks:
Week6: 16 March - 22 March - LECTURE
Week7: 23 March - 29 March - MIDTERM I (ALL, at class time on 23rd March including up to
week6 materials )
Week8: 30 March