This is an introductory course on information theory.
I will be covering the first ten chapters (excepting chapter six) of the book Elements of Information Theory (2nd ed.) by Cover and Thomas.
Depending on the time some additional topics might be covered.
Students are required to have taken a course on
probability before they can credit this course.
Students who need COT can come by office (ESB 336B) before or after C slot from 31/10/14.
Textbook: Elements of Information Theory (2nd ed.) T. M. Cover and J. A. Thomas.
- Introduction to information theory
- Entropy, relative entropy and mutual information
- Asymptotic equipartition property
- Entropy rate of a stochastic process
- Data compression
- Channel capacity
- Differential entropy
- Gaussian channel
- Rate distortion theory and other topics (time permitting)
Grading policy (Tentative)
10-15% Homework+Projects, 10% Miniquizzes, 25-30% Midsem, 50% Finals.
Midsem 3 Mar 2015
Endsem 1 May 2015
14 Jan Entropy, joint and conditional entropies
16 Jan Relative entropy, mutual information
20 Jan Mutual information, set theoretic correspondence of entropies
23 Jan Jensen's inequality and consequences
27 Jan Log sum inequality and consequences
28 Jan Applications of log sum inequality and data processing inequality
04 Feb Consequences of AEP, typical sets, data compression
11 Feb Entropy rates of stochastic processes, Miniquiz-2
13 Feb Entropy rates and Markov chains
16 Feb Entropy rates of Markov chains, random walks and functions of Markov chains
18 Feb Data compression: Source coding, Kraft's inequality
20 Feb Tutorial, Miniquiz
23 Feb Data compression: Extended Kraft's inequality, optimal codes
25 Feb Uniquely decodable codes, Huffman codes
27 Feb Optimality of Huffman codes
02 Mar Huffman codes and Shannon-Fano-Elias codes
04 Mar Wrapup on data compression and introduction to data transmission
09 Mar Channel capacity, computing capacity for some simple channels
11 Mar Midsem paper discussion, introduction to jointly typical sequences
16 Mar Noisy channel coding theorem
18 Mar Noisy channel coding theorem
25 Mar Source channel separation theorem, Miniquiz
27 Mar Differential entropy
30 Mar Properties of differential entropy and related quantities
31 Mar AEP and wrap up on differential entropy, Project posted
08 Apr Gaussian channel, channel capacity, Joint AEP
10 Apr Capacity of the Gaussian channel
13 Apr Capacity of the Gaussian channel
15 Apr Bandlimited Gaussian channels
20 Apr Parallel Gaussian channels
22 Apr Gaussian channels with color noise