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Course Co-ordinated by IIT Kanpur
Dr. Adrish Banerjee
IIT Kanpur


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Error control coding is an indispensible part of any digital communication system. In this introductory course, we will discuss theory of convolutional codes, their encoding and decoding techniques as well as their applications in real world scenarios. We will also study how from simple codes by concatenation we can build more powerful error correcting codes. In particular, we will study in details, one such capacity approaching codes called turbo codes. 

Week .No



Lecture 1: Introduction to error control coding
Lecture 2: Introduction to convolutional codes-I: state diagram, trellis diagram
Lecture 3: Introduction to convolutional codes-II: classification, realization, distance properties


Lecture 4: Decoding of convolutional codes-I: Viterbi algorithm
Lecture 5: Decoding of convolutional codes-II: BCJR algorithm


Lecture 6: Introduction to concatenated codes: parallel, serial
Lecture 7: Turbo codes: encoding, and properties


Lecture 8: Turbo decoding
Lecture 9: Convergence of turbo decoding algorithm 
Lecture 10: Applications of convolutional codes

Basic knowledge of probability theory and digital communications

  1. “Error Control Coding”, by Shu Lin and Daniel J. Costello, Jr., second edition, Prentice Hall, 2004.
  2. Todd K. Moon, “Error Correction Coding”, 1st Edition, Wiley-Interscience, 2006.
  3. Rolf Johannesson and Kamil Sh. Zigangirov, ``Fundamentals of Convolutional Coding’’, IEEE Press, 1999.
  4. Ajay Dholakia, ``Introduction to Convolutional Codes with Applications’’, Springer, 1994.

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