EE 670 - Assignment 6
Due Apr. 20th, 2012
1. Consider an OFDM system with BW = 10 MHz. Let the delay spread
of the outdoor channel Td be 1 s.
(a) What is the minimum number of subcarriers required for this
OFDM system?
(b) If the number of subcarriers N =
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Assignment #2: EE670
1. Chapter 3, Problem #14
2. Chapter 3, Problem #15
3. Chapter 3, Problem #16 Instead of maximum tolerable BER 10-4, read BER lower than 10-4
with probability greater than 0.99.
4. Chapter 3, Problem #21
5. Chapter 3, Problem #28
6. C
Assignment #1: EE670
Problems (Solutions to be submitted)
1.
2.
3.
4.
Binary signal vector detection in section #2.7
Chapter 3, Problem #3
Chapter 3, Problem #5
A QoS Problem: What is the minimum SNR required in a Rayleigh fading channel such
that the ins
Assignment #4: EE670
1. Illustrate how the data of multiple users on forward link, using Walsh sequences for
orthogonal multiplexing, can be recovered at each user terminal. Walsh sequences and Data
are given in Table.1.
Index Integer Index Sequence
Walsh
EE670WirelessCommunications
1. WirelessCommunicationsandDiversity (8Lectures)
A.
B.
C.
D.
E.
F.
G.
H.
I.
J.
K.
L.
M.
N.
WirelessChannelModeling
Pathloss,Shadowing
FastFading
Rayleigh/RiceanFadingChannels
BERPerformance
Diversity
BERPerformancewithdiversit
EE670 Quiz 2012
1. Multi-user CDMA: Consider an multi-user CDMA scenario with K = 15
2
users and noise power n = 0 dB. Let all users have equal received power
P and the wireless channel of each user is a multipath channel with L = 4
independent multipath
EE617 Intro. to Wireless & Cellular Communications
Tutorial I January 27, 2012
1. Suppose X is a random variable with PDF f X ( x ) given by
f X (x) =
x
exp
2
x2
22
for x 0,
nd the PDF of Y = X 2 .
2. Consider the scenario in the gure below where the rec
EE617 Intro. to Wireless & Cellular Communications
Tutorial 2 February 3, 2012
1. A BPSK symbol ( a) is transmitted over L i.i.d Rayleigh fading channels. The fading
coefcient of the ith channel hi CN (0, 2 ). Show that the average probability of
error is
EE6170 Intro. to Wireless & Cellular Communications
Tutorial 3 February 24, 2012
1. Suppose X is an exponential random variable with PDF f X ( x ) given by
f X ( x ) = e x
for x 0,
n
nd E[esX ]. If X1 , X2 , ., Xn are exponential i.i.d with above PDF, the
EE6170 Intro. to Wireless & Cellular Communications
Problem Set 4 March 9, 2012
1. Consider a multipath channel with L i.i.d. Rayleigh faded taps. OFDM with N subchannels is used over this channel with an appropriate cyclic prex.
(a) Write down the receiv
Instructor: Prof. Aditya K. Jagannatham
Coordinates
ACES 205D
M ilb on 2nd floor ACES B ildi
Mailbox
2 d fl
Building.
e mail: [email protected]
Ph: 7494
Fundamentals of Wireless Communication
David Tse and Pramod Viswanath
Cambridge University P
EE6170 Intro. to Wireless & Cellular Communications
Problem Set 6 April 11, 2012
1. (T&V 5.6) In this exercise, we study time sharing, as a means to communicate over
the AWGN channel by using different codes over different intervals of time.
(a) Consider
EE6170 Intro. to Wireless & Cellular Communications
Problem Set 7 April 13, 2012
1. (T&V 6.2) Consider the basic uplink AWGN channel with power constraints Pk on
user k (for k = 1, 2). Orthogonal multiple access is optimal when the degrees of freedom are
Assignment #3: EE670
1.
2.
3.
4.
Chapter 4, Problem #5
Chapter 4, Problem #6
Chapter 4, Problem #8
Consider the fading channel estimation problem where the output symbol y(k) is y(k) =
hx(k) + v(k), with h, x(k), v(k) denoting the real channel coefficient