Error Correcting Codes

Error Correcting Codes
Error Correcting Codes by Dr. P. Vijay Kumar, Department of Electrical Communication Engineering, IISC Bangalore. For more details on NPTEL visit http://nptel.iitm.ac.in
Mod-01 Lec-01 Course Overview & Basics
Mod-01 Lec-02 Example Codes and their Parameters
Mod-02 Lec-03 Mathematical Preliminaries: Groups
Mod-02 Lec-04 Subgroups and Equivalence Relations
Mod-02 Lec-05 Cosets, Rings & Fields
Mod-03 Lec-06 Vector Spaces, Linear
Mod-03 Lec-07 Linear Codes, & Linear independence
Mod-03 Lec-08 Spanning & Basis
Mod-04 Lec-09 The Dual Code
Mod-04 Lec-10 Systematic Generator Matrix
Mod-04 Lec-11 Minimum Distance of a Linear Code
Mod-05 Lec-12 Bounds on the size of a Code
Mod-05 Lec-13 Asymptotic Bounds
Mod-06 Lec-14 Standard Array Decoding
Mod-06 Lec-15 Performance Analysis of the SAD
Mod-07 Lec-16 State and Trellis
Mod-07 Lec-17 The Viterbi Decoder
Mod-07 Lec-18 Catastrophic Error Propagation
Mod-07 Lec-19 Path Enumeration
Mod-07 Lec-20 Viterbi Decoder over the AWGN Channel
Mod-08 Lec-21 Generalized Distributive Law
Mod-08 Lec-22 The MPF Problem
Mod-08 Lec-23 Further Examples of the MPF Problem
Mod-08 Lec-24 Junction Trees recap
Mod-08 Lec-25 Example of Junction Tree Construction
Mod-08 Lec-26 Message passing on the Junction tree
Mod-08 Lec-27 GDL Approach to Decoding Convolutional Codes
Mod-08 Lec-28 ML Code-Symbol Decoding of the Convolutional Code
Mod-09 Lec-29 LDPC Codes
Mod-09 Lec-30 LDPC Code Terminology
Mod-09 Lec-31 Gallager Decoding Algorithm A
Mod-09 Lec-32 BP Decoding of LDPC Codes
Mod-09 Lec-33 BP Decoding (Continued)
Mod-09 Lec-34 Density Evolution under BP decoding
Mod-09 Lec-35 Convergence & Concentration Theorem -- LDPC Codes
Mod-10 Lec-36 A Construction for Finite Fields
Mod-10 Lec-37 Finite Fields: A Deductive Approach
Mod-10 Lec-38 Deductive Approach to Finite Fields
Mod-10 Lec-39 Subfields of a Finite field
Mod-11 Lec-40 Transform Approach to Cyclic Codes
Mod-11 Lec-41 Estimating the Parameters of a Cyclic Code