Electrical - Error Correcting Codes (English)

   Monday, March 10, 2025   

Starting a new Lecture Notes Series on Electrical - Error Correcting Codes

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Electrical - Error Correcting Codes By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Course Overview & Basics

Lecture 2: Mod-01 Lec-02 Example Codes and their Parameters

Lecture 3: Mod-02 Lec-03 Mathematical Preliminaries: Groups

Lecture 4: Mod-02 Lec-04 Subgroups and Equivalence Relations

Lecture 5: Mod-02 Lec-05 Cosets, Rings & Fields

Lecture 6: Mod-03 Lec-06 Vector Spaces, Linear

Lecture 7: Mod-03 Lec-07 Linear Codes, & Linear independence

Lecture 8: Mod-03 Lec-08 Spanning & Basis

Lecture 9: Mod-04 Lec-09 The Dual Code

Lecture 10: Mod-04 Lec-10 Systematic Generator Matrix

Lecture 11: Mod-04 Lec-11 Minimum Distance of a Linear Code

Lecture 12: Mod-05 Lec-12 Bounds on the size of a Code

Lecture 13: Mod-05 Lec-13 Asymptotic Bounds

Lecture 14: Mod-06 Lec-14 Standard Array Decoding

Lecture 15: Mod-06 Lec-15 Performance Analysis of the SAD

Lecture 16: Mod-07 Lec-16 State and Trellis

Lecture 17: Mod-07 Lec-17 The Viterbi Decoder

Lecture 18: Mod-07 Lec-18 Catastrophic Error Propagation

Lecture 19: Mod-07 Lec-19 Path Enumeration

Lecture 20: Mod-07 Lec-20 Viterbi Decoder over the AWGN Channel

Lecture 21: Mod-08 Lec-21 Generalized Distributive Law

Lecture 22: Mod-08 Lec-22 The MPF Problem

Lecture 23: Mod-08 Lec-23 Further Examples of the MPF Problem

Lecture 24: Mod-08 Lec-24 Junction Trees recap

Lecture 25: Mod-08 Lec-25 Example of Junction Tree Construction

Lecture 26: Mod-08 Lec-26 Message passing on the Junction tree

Lecture 27: Mod-08 Lec-27 GDL Approach to Decoding Convolutional Codes

Lecture 28: Mod-08 Lec-28 ML Code-Symbol Decoding of the Convolutional Code

Lecture 29: Mod-09 Lec-29 LDPC Codes

Lecture 30: Mod-09 Lec-30 LDPC Code Terminology

Lecture 31: Mod-09 Lec-31 Gallager Decoding Algorithm A

Lecture 32: Mod-09 Lec-32 BP Decoding of LDPC Codes

Lecture 33: Mod-09 Lec-33 BP Decoding (Continued)

Lecture 34: Mod-09 Lec-34 Density Evolution under BP decoding

Lecture 35: Mod-09 Lec-35 Convergence & Concentration Theorem -- LDPC Codes

Lecture 36: Mod-10 Lec-36 A Construction for Finite Fields

Lecture 37: Mod-10 Lec-37 Finite Fields: A Deductive Approach

Lecture 38: Mod-10 Lec-38 Deductive Approach to Finite Fields

Lecture 39: Mod-10 Lec-39 Subfields of a Finite field

Lecture 40: Mod-11 Lec-40 Transform Approach to Cyclic Codes

Lecture 41: Mod-11 Lec-41 Estimating the Parameters of a Cyclic Code

Lecture 42: Mod-11 Lec-42 Decoding Cyclic Codes