Error control coding is an indispensible part of any digital communication system. In this introductory course, we will discuss theory of linear block codes and convolutional codes, their encoding and decoding techniques as well as their applications in real world scenarios. Starting from simple repetition codes, we will discuss among other codes: Hamming codes, Reed Muller codes, low density parity check codes, and turbo codes. We will also study how from simple codes by concatenation we can build more powerful error correcting codes.
Lecture 1: Introduction to error control coding
Lecture 2: Introduction to linear block codes, generator matrix and parity check matrix
Lecture 3: Properties of linear block codes: Syndrome, error detection
Lecture 4: Decoding of linear block codes
Lecture 5: Distance properties of linear block codes
Lecture 6: Some simple linear block codes: Repetition codes, Single parity check codes, Hamming codes, Reed Muller codes
Lecture 7: Bounds on size of codes: Hamming bound, Singleton bound, Plotkin bound, Gilbert-Varshamov bound
Lecture 8: Low density parity check codes
Lecture 9: Decoding of low density parity check codes-I: Belief propagation algorithm on BEC
Lecture 10: Decoding of low density parity check codes-I: Belief propagation algorithm on BSC and AWGN channels
Lecture 11: Introduction to convolutional codes-I: Encoding, state diagram, trellis diagram
Lecture 12: Introduction to convolutional codes-II: Classification, realization, distance properties
Lecture 13: Decoding of convolutional codes-I: Viterbi algorithm
Lecture 14: Decoding of convolutional codes-II: BCJR algorithm
Lecture 15: Performance bounds for convolutional codes
MOOCs stand for Massive Open Online Courses. These arefree online courses from universities around the world (eg. StanfordHarvardMIT) offered to anyone with an internet connection.
How do I register?
To register for a course, click on "Go to Class" button on the course page. This will take you to the providers website where you can register for the course.
How do these MOOCs or free online courses work?
MOOCs are designed for an online audience, teaching primarily through short (5-20 min.) pre recorded video lectures, that you watch on weekly schedule when convenient for you. They also have student discussion forums, homework/assignments, and online quizzes or exams.