Error Correcting Codes Video Lectures

Error Correcting Codes
'Error Correcting Codes' Video Lectures by Prof. P. Vijay Kumar from IISc Bangalore
"Error Correcting Codes" - Video Lectures
1. Course Overview & Basics
2. Example Codes and their Parameters
3. Mathematical Preliminaries: Groups
4. Subgroups and Equivalence Relations
5. Cosets, Rings & Fields
6. Vector Spaces, Linear Independence and Basis
7. Linear Codes, & Linear independence
8. Spanning & Basis
9. The Dual Code
10. Systematic Generator Matrix
11. Minimum Distance of a Linear Code
12. Bounds on the size of a Code
13. Asymptotic Bounds
14. Standard Array Decoding
15. Performance Analysis of the SAD
16. State and Trellis
17. The Viterbi Decoder
18. Catastrophic Error Propagation
19. Path Enumeration
20. Viterbi Decoder over the AWGN Channel
21. Generalized Distributive Law
22. The MPF Problem
23. Further Examples of the MPF Problem
24. Junction Trees
25. Example of Junction Tree Construction
26. Message passing on the Junction tree
27. GDL Approach to Decoding Convolutional Codes
28. ML Code-Symbol Decoding of the Convolutional Code
29. LDPC Codes
30. LDPC Code Terminology
31. Gallager Decoding Algorithm A
32. BP Decoding of LDPC Codes
33. BP Decoding (Continued)
34. Density Evolution under BP decoding
35. Convergence & Concentration Theorem – LDPC Codes
36. A Construction for Finite Fields
37. Finite Fields: A Deductive Approach
38. Deductive Approach to Finite Fields
39. Subfields of a Finite field
40. Transform Approach to Cyclic Codes
41. Estimating the Parameters of a Cyclic Code
42. Decoding Cyclic Codes
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