About the course
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.
3rd/4th year UG students, PG students & faculty in electronics and communications engineering
An exposure to linear algebra and probability theory as well as a course in digital communications
Industries that will recognize this course
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: Introduction to convolutional codes-I: Encoding, state diagram, trellis diagram
Lecture 9: Introduction to convolutional codes-II: Classification, realization, distance properties
Lecture 10: Decoding of convolutional codes-I: Viterbi algorithm
Lecture 11: Decoding of convolutional codes-II: BCJR algorithm
Lecture 12: Performance bounds for convolutional codes
Lecture 13: Low density parity check codes
Lecture 14: Decoding of low density parity check codes: Belief propagation algorithm on BSC and AWGN channels
Lecture 15: Turbo codes
Lecture 16: Turbo decoding
Lecture 17: Distance properties of turbo codes
Lecture 18: Convergence of turbo codes
Lecture 19: Automatic repeat request schemes
Lecture 20: Applications of linear codes
Course url: https://onlinecourses.nptel.ac.in/noc17_ee07
Course duration: 08 weeks
Start date and end date of course: 23 January 2017-17 March 2017
Date of exam: 26 March, 2017
Time of exam: Shift 1: 9am-12noon; Shift 2: 2pm-5pm
Any one shift can be chosen to write the exam for a course
Final List of exam cities will be available in exam registration form.
Registration url - Announcements will be made when the registration form is open for registrations.
Exam Fee: The online registration form has to be filled and the certification exam fee of approximately Rs 1000 needs to be paid.
E-Certificate will be given to those who register and write the
exam and score greater than or equal to 40% final score.
Final score = 25% assignment score + 75% exam score
25% assignment score is calculated as 25% of average of scores of Best 6 out of 8 assignments
Certificate will have your name, photograph and the score in the final exam with the breakup. It will have the logos of NPTEL and IIT Kanpur. It will be e-verifiable at nptel.ac.in/noc.