Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communications
Homework 1 Solutions
Handout date: 13 March 2012, online
The following solutions are just one possible way how to solve the h
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communications
Homework 1
Due date: 13 March 2012, in class
Problem 1 Conditional Expectation and Variance
The conditional expectation of th
2nd Semester 2010
Solutions to Homework Set #5
Dierential Entropy and Gaussian Channel
1. Dierential entropy.
Evaluate the dierential entropy h(X ) = f ln f for the following:
(a) Find the entropy of the exponential density ex , x 0.
(b) The sum of X1 and
6.441 Transmission of Information
April 17, 2006
Lecture 16
Lecturer: Madhu Sudan
1
Scribe: Imad Jabbour
Overview
In this lecture, we discuss the information-theoretic aspect of an Additive White Gaussian Noise (AWGN)
channel. This channel is often used i
7
Dierential Entropy
Denition 1 The dierential entropy of a continuous random variable
X , denoted by h(X ), is dened as
h(X ) =
S
f (x) log f (x)dx = E [ log f (X )],
when the integral exists, where S is the support of the density function
(i.e. the reg
In communications, band is referred to as the range of frequencies (bandwidth) used in the
channel. Depending on the size of the band (in terms of kHz, MHz or GHz) and some other
properties of the communication channel, they can be categorized as narrowba
1
MISO Capacity with Per-Antenna Power Constraint
arXiv:1003.1738v2 [cs.IT] 18 Jan 2011
Mai Vu
Department of Electrical and Computer Engineering, McGill University, Montreal, H3A2A7
Email: mai.h.vu@mcgill.ca
AbstractWe establish in closed-form the capacit
ECE 771
Lecture 10 The Gaussian channel
Objective: In this lecture we will learn about communication over a channel of
practical interest, in which the transmitted signal is subjected to additive white
Gaussian noise. We will derive the famous capacity fo
Communication Technology Laboratory
Prof. Dr. H. Blcskei and R. Heckel
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 6 Solutions
Handout date: May 29, 2012, online
Problem 1 Outage capacity
1. We have to find the maximal
Communication Technology Laboratory
Prof. Dr. H. Blcskei and R. Heckel
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 6
Due date: May 29, 2012, in class
Problem 1 Outage capacity
The outage capacity, denoted by Cout, , wa
Communication Technology Laboratory
Prof. Dr. H. Blcskei and R. Heckel
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 5 Solutions
Handout date: 15 May 2012, online
Problem 1 Simulation of Error Probability
When implementi
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 5
Due date: 15 May 2012, in class
Problem 1 Numerical Evaluation of Error Probability
Consider a flat-fading discrete
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communications
Homework 4 Solutions
Handout date: 3 May 2011, online
Problem 1 Real World Fading Channels
1. Typical pedestrian speeds are a
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 4
Due date: 2 May 2012, in ETF E120
Problem 1 Real World Fading Channels
Use the handout about channel characteristic
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 3 Solutions
Handout date: 17 April 2012, online
Problem 1 Estimation of the delay spread and the mean delay time
1. W
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communication
Homework 3
Due date: 17 April 2012, in class
Problem 1 Estimation of the delay spread and the mean delay time
In this exercise
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communications
Homework 2 Solutions
Handout date: 27 March 2012, online
Problem 1 Identification of LTV Systems
1. Suppose x stably identifi
Communication Technology Laboratory
Prof. Dr. H. Blcskei
Sternwartstrasse 7
CH-8092 Zrich
Fundamentals of Wireless Communications
Homework 2
Due date: 27 March 2012, in class
Problem 1 Identification of LTV Systems
In this problem, systems whose spreading