Information Theory and Coding

Instructor Emre Telatar
Office INR 117
Email [email protected]
Office Hours By appointment
   
   
Teaching Assistant Adway Girish
Office INR 139
Email [email protected]
Office Hours By appointment
   
   
Teaching Assistant Adrien Vandenbroucque
Office INR 033
Email [email protected]
Office Hours By appointment
   
   
Lectures Monday 11h15 – 13h00 (Room: BC 01)
  Tuesday 13h15 – 15h00 (Room: CM 012)
Exercises Tuesday 15h15 – 17h00 (Room: DIA 004)
   
   
Language:   English
Credits :   8 ECTS

Course Information

See the course information.

Moodle link

Announcements

  • Please note the room change: Lectures on Tuesday will be held in CM 012.
  • The first lecture will be held on Monday, September 9th in BC 01 at 11h15.
  • The weekly homeworks are not graded. The graded homework will be announced explicitly.
Date
   Topics Covered     Homework Solutions Remarks/
Extra material		  
Sep 9   Source coding / Data compression:
– injective, uniquely decodable, prefix-free (binary) codes
– Kraft sum, Kraft inequalities		     HW 1      
Sep 10   – (Partial) converse to Kraft inequality
– Expected codeword length: lower bound		       Soln 1    
Sep 16              Public holiday  
Sep 17   – Expected codeword length: lower and upper bounds, asymptotic per-letter tightness
Information measures:
– Entropy
– KL divergence		    

HW 2

 Soln 2    
Sep 23   – Huffman code/algorithm
– Mutual information		     HW 3      
Sep 24   – Conditional mutual information
– Examples, properties
– Data processing inequality		       Soln 3    
Sep 30   – Chain rule for mutual information
– Typicality		     HW 4      
Oct 1   – Properties of typical sets/sequences
– Entropy rate		       Soln 4    
Oct 7   – More on entropy rate
Universal data compression:
– Universal compression: Lempel-Ziv		     HW 5   LZ notes  
Oct 8   – More on universal compression       Soln 5    
Oct 14   – Universal compression and prediction
Transmission of data:
– Channels		     HW 6      
Oct 15   – Stationary, memoryless channels without feedback       Soln 6    
Oct 21, 22   Break            
Oct 28   – Converse theorem of channel coding            
Oct 29   Midterm exam     Midterm Midterm soln    
Nov 4   – KKT conditions for capacity     HW 7      
Nov 5   – Random coding argument to show achievability of coding theorem       Soln 7    
Nov 11   – Channel coding: achievability     HW 8      
Nov 12   Differential entropy:
– Definition		       Soln 8    
Nov 18   – Properties of differential entropy     HW 9      
Nov 19   – Gaussian channel       Soln 9    
Nov 18   – Parallel Gaussian channel     HW 10      
Nov 19           Soln 10    

 

Textbook

Additional Reading Material

To Review Basic Probability Theory