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September 25, 2023

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Description

An Introduction to Coding Theory. Instructor: Dr. Adrish Banerjee, Department of Electrical Engineering, IIT Kanpur. Error control coding is an indispensable 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. (from nptel.ac.in)

Course Curriculum

  • Lecture 01 – Introduction to Error Control Coding, Part I Unlimited
  • Lecture 02 – Introduction to Error Control Coding, Part II Unlimited
  • Lecture 03 – Introduction to Error Control Coding, Part III Unlimited
  • Lecture 04 – Introduction to Linear Block Codes, Generator Matrix and Parity Check Matrix Unlimited
  • Lecture 05 – Syndrome, Error Correction and Error Detection Unlimited
  • Lecture 06 – Problem Solving Session I Unlimited
  • Lecture 07 – Coding of Linear Block Codes Unlimited
  • Lecture 08 – Distance Properties of Linear Block Codes I Unlimited
  • Lecture 09 – Distance Properties of Linear Block Codes II Unlimited
  • Lecture 10 – Problem Solving Session II Unlimited
  • Lecture 11 – Some Simple Linear Block Codes I Unlimited
  • Lecture 12 – Some Simple Linear Block Codes II: Reed Muller Codes Unlimited
  • Lecture 13 – Bounds on the Size of a Code Unlimited
  • Lecture 14 – Problem Solving Session III Unlimited
  • Lecture 15 – Introduction to Convolutional Codes I: Encoding Unlimited
  • Lecture 16 – Introduction to Convolutional Codes II: State Diagram, Trellis Diagram Unlimited
  • Lecture 17 – Convolutional Codes: Classification, Realization Unlimited
  • Lecture 18 – Convolutional Codes: Distance Properties Unlimited
  • Lecture 19 – Decoding of Convolutional Codes I: Viterbi Algorithm Unlimited
  • Lecture 20 – Decoding of Convolutional Codes II: BCJR Algorithm Unlimited
  • Lecture 21 – Problem Solving Session IV Unlimited
  • Lecture 22 – Problem Solving Session V Unlimited
  • Lecture 23 – Performance Bounds for Convolutional Codes Unlimited
  • Lecture 24 – Low Density Parity Check Codes Unlimited
  • Lecture 25 – Decoding of Low Density Parity Check Codes I Unlimited
  • Lecture 26 – Decoding of Low Density Parity Check Codes II: Belief Propagation Algorithm Unlimited
  • Lecture 27 – Turbo Codes Unlimited
  • Lecture 28 – Turbo Decoding Unlimited
  • Lecture 29 – Problem Solving Session VI Unlimited
  • Lecture 30 – Distance Properties of Turbo Codes Unlimited
  • Lecture 31 – Convergence of Turbo Codes Unlimited
  • Lecture 32 – Automatic Repeat reQuest (ARQ) Schemes Unlimited
  • Lecture 33 – Applications of Linear Codes Unlimited

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