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Last updated:

December 6, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This course introduces students to iterative decoding algorithms and the codes to which they are applied, including Turbo Codes, Low-Density Parity-Check Codes, and Serially-Concatenated Codes.

The course will begin with an introduction to the fundamental problems of Coding Theory and their mathematical formulations. This will be followed by a study of Belief Propagation–the probabilistic heuristic which underlies iterative decoding algorithms. Belief Propagation will then be applied to the decoding of Turbo, LDPC, and Serially-Concatenated codes. The technical portion of the course will conclude with a study of tools for explaining and predicting the behavior of iterative decoding algorithms, including EXIT charts and Density Evolution.

Course Curriculum

  • Signing Up Unlimited
  • Channels Unlimited
  • Analysis of Repetition Code Meta-channel Unlimited
  • Prior, Extrinsic and Posterior Probabilities, II Unlimited
  • Parity Continued Unlimited
  • Introduction Unlimited
  • Markov Property Unlimited
  • Vector Spaces Unlimited
  • LDPC Codes Unlimited
  • Belief Propagation on Trees Unlimited
  • Representing Probabilities, Equality Nodes Unlimited
  • The Binary Erasure Channel Unlimited
  • Convolutional Codes Unlimited
  • Remarks on Convolutional Codes Unlimited
  • Decoding Modules Unlimited
  • Developments in Iterative Decoding Unlimited

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Massachusetts Institute of Technology
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