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Last updated:
September 25, 2023
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
Error Correcting Codes. Instructor: Prof. P. Vijay Kumar, Department of Electrical Communication Engineering, IISc Bangalore.
Error-correcting codes are in widespread use for data storage as well as most forms of communication where reliability is of importance. Examples range from compact discs to deep-space communication. This course will cover both classical error-correcting codes such as BCH, Reed-Solomon and convolutional codes as well as the more modern class of iteratively decodable codes, low-density parity-check codes in particular. (from nptel.ac.in)
Course Curriculum
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- Lecture 01 – Course Overview and Basics Unlimited
- Lecture 02 – Example Codes and their Parameters Unlimited
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- Lecture 03 – Mathematical Preliminaries: Groups Unlimited
- Lecture 04 – Subgroups and Equivalence Relations Unlimited
- Lecture 05 – Cosets, Rings and Fields Unlimited
- Lecture 06 – Vector Spaces, Linear Independence and Basis Unlimited
- Lecture 07 – Linear codes and Linear Independence Unlimited
- Lecture 08 – Spanning and Basis Unlimited
- Lecture 12 – Bounds on the Size of a Code Unlimited
- Lecture 13 – Asymptotic Bounds Unlimited
- Lecture 16 – State and Trellis Unlimited
- Lecture 17 – The Viterbi Decoder Unlimited
- Lecture 18 – Catastrophic Error Propagation Unlimited
- Lecture 19 – Path Enumeration Unlimited
- Lecture 20 – Viterbi Decoder over the AWGN Channel Unlimited
- Lecture 29 – LDPC Codes Unlimited
- Lecture 30 – LDPC Code Terminology Unlimited
- Lecture 31 – Gallagher Decoding Algorithm A Unlimited
- Lecture 32 – Gallagher Decoding Algorithm A (cont.) Unlimited
- Lecture 33 – Belief-Propagation (BP) Decoding of LDPC Codes Unlimited
- Lecture 34 – Density Evolution under BP Decoding Unlimited
- Lecture 35 – Convergence and Concentration Theorem – LDPC Codes Unlimited
- Lecture 40 – Transform Approach to Cyclic Codes Unlimited
- Lecture 41 – Estimating the Parameters of a Cyclic Code Unlimited
- Lecture 42 – Decoding Cyclic codes Unlimited
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