University of Toronto Department of Electrical & Computer
Engineering
ECE 1502F, 2007
Information Theory
Instructor:
F. R. Kschischang, BA4132
E-mail:
frankcommutorontoca
Lectures:
Tuesdays, 10:30 am - 12:00 pm, GB221
Fridays, 10:30 - 12:00 pm, GB244
This course is an introduction to information theory.
As stated by Cover and Thomas, the authors of the recommended text,
Information theory answers two fundamental questions in
communication theory: what is the ultimate data compression
(answer: the entropy H), and what is the ultimate transmission
rate of communication (answer: the channel capacity C).
As many of the following topics as permitted by the time available
will be covered.
Entropy:
entropy, relative entropy, mutual information, the asymptotic
equipartition property, entropy rates for stochastic processes.
Data Compression:
the Kraft inequality, Shannon-Fano codes,
Huffman codes, arithmetic coding.
Channel Capacity:
discrete channels, the random coding
bound and its converse, Gaussian
channels, coloured Gaussian noise and "water-filling."
Rate Distortion Theory:
the rate-distortion function, Hamming distortion, mean
squared difference distortion,
Gaussian sources.
Network Information Theory:
multiple user channels,
broadcast channels.
Main Reference:
Thomas M. Cover and Joy A. Thomas,
Elements of Information Theory, John Wiley & Sons, Inc.,
1991.
Other References:
Robert G. Gallager, Information Theory and Reliable
Communication, John Wiley & Sons, Inc., 1968.
Richard E. Blahut, Principles and Practice of Information
Theory, Addison-Wesley, 1987.
Raymond W. Yeung, A First Course in Information Theory,
Kluwer, 2002.
David J. C. MacKay, Information Theory, Inference,
and Learning Algorithms, Cambridge University Press, 2003 and
online.
IEEE Transactions on Information Theory, Commemorative
Issue, Vol. 44, October 1998, online
via IEEE Xplore.
Grading:
Final grades will be determined on the
basis of problems sets and midterm and final examinations.
I have written a brief Probability Refresher, for
those who might need one. It is available as a
PostScript file or a
PDF file.
Claude Elwood Shannon (April 30, 1916 - February 24, 2001)
(Lucent Bell Labs)
Download Shannon's paper: C. E. Shannon, ``A mathematical theory of communication,''
Bell System Technical Journal, vol. 27,
pp. 379-423 and 623-656, July and October, 1948 (as re-typed
and corrected by Emre Telatar).
The final exam will be held on Tuesday December 11, 2007,
from 10:10 a.m. to 12:00 p.m.. The exam will be held
in BA2155.
Like the midterm exam,
the final will be a combined in-class/take-home exam. The
take-home part will be due at 10:30 a.m., Friday December 14, 2007.
The exam is open-book: you may bring in your class notes, problem
set solutions, textbooks, etc.