An Introduction to Coding Theory

NPTEL is offering online course for undergraduate/ postgraduate students in Coding Theory.

About the course:

• Error control coding is an indispensible part of any digital communication system.
• In this introductory course, we will discuss theory of linear block codes and convolutional codes, their encoding and decoding techniques as well as their applications in real world scenarios. Starting from simple repetition codes, we will discuss among other codes: Hamming codes, Reed Muller codes, low density parity check codes, and turbo codes.
• We will also study how from simple codes by concatenation we can build more powerful error correcting codes.

Course Layout:

• Introduction to error control coding
• Introduction to linear block codes, generator matrix and parity check matrix
• Properties of linear block codes: Syndrome, error detection
• Decoding of linear block codes
• Distance properties of linear block codes
• Some simple linear block codes: Repetition codes, Single parity check codes, Hamming codes, Reed Muller codes
• Bounds on size of codes: Hamming bound, Singleton bound, Plotkin bound, Gilbert-Varshamov bound
• Introduction to convolutional codes-I: Encoding, state diagram, trellis diagram
• Introduction to convolutional codes-II: Classification, realization, distance properties
• Decoding of convolutional codes-I: Viterbi algorithm
• Decoding of convolutional codes-II: BCJR algorithm
• Performance bounds for convolutional codes
• Low density parity check codes
• Decoding of low density parity check codes: Belief propagation algorithm on BSC and AWGN channels
• Turbo codes
• Turbo decoding

Duration: 08 weeks

Enrollment Ends: September 21, 2020

For more details, please visit: https://onlinecourses.nptel.ac.in/noc20_ee94/preview