Why enroll

Participants join this course to clearly understand how reliable communication is achieved in real systems like mobile networks, satellite communication, and the internet. The course explains complex ideas in an easy and step-by-step manner, making it suitable for beginners as well as working professionals. It helps learners build strong fundamentals that are useful for higher studies, competitive exams, and research. Many join to gain practical insight into modern coding techniques used in 4G, 5G, and data transmission systems. Overall, this course helps learners feel confident about error control coding and its real-world importance.

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Course content

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An Introduction to Coding Theory

30 Lectures

1077 min

Introduction to Error Control Coding-I
Preview
24 min
Introduction to Error Control Coding-II
19 min
Introduction to Error Control Coding-III
35 min
Introduction to Linear Block Codes, Generator Matrix and Parity Check Matrix
29 min
Syndrome, Error Correction and Error Detection
19 min
Problem Solving Session-I
30 min
Decoding of Linear Block Codes
47 min
Distance Properties of Linear Block Codes-I
21 min
Distance Properties of Linear Block Codes-II
39 min
Problem Solving Session-II
41 min
Some Simple Linear Block Codes-I
50 min
Some Simple Linear Block Codes-II: Reed Muller Codes
51 min
Bounds on the Size of a Code
32 min
Problem Solving Session-III
18 min
Introduction to Convolutional Codes-I: Encoding
46 min
Introduction to Convolutional Codes-II: State Diagram, Trellis Diagram
26 min
Convolutional Codes: Classification, Realization
43 min
Convolutional Codes:Distance Properties
30 min
Decoding of Convolutional Codes-I: Viterbi Algorithm
34 min
Decoding of Convolutional Codes-II: BCJR Algorithm
66 min
Problem solving session-IV
40 min
Problem solving session-V
32 min
Low Density Parity Check Codes
51 min
Performance Bounds for Convolutional Codes
34 min
Decoding of Low Density Parity Check Codes-I
28 min
Decoding of Low Density Parity Check Codes-II: Belief Propagation Algorithm
41 min
Turbo Codes
40 min
Turbo Decoding
52 min
Problem Solving Sessions-VI
26 min
Distance Properties of Turbo Codes
33 min

Course details

Error control coding plays a crucial role in ensuring reliable data transmission in every digital communication system. In this course, you will learn why errors occur during transmission due to noise, interference, and channel imperfections, and how coding techniques help detect and correct these errors. The course starts with very basic concepts such as repetition codes so that even beginners can easily build a strong understanding of the fundamentals. It then moves step by step to linear block codes and convolutional codes, explaining their structure, working principles, and practical importance. You will clearly understand how encoding is done at the transmitter and how decoding is performed at the receiver to recover the original data. Well-known codes like Hamming codes and Reed–Muller codes are explained in detail with intuitive reasoning. The course also introduces modern and powerful coding techniques such as LDPC and turbo codes, which are widely used in today’s high-speed communication systems. Throughout the course, real-world examples and applications are discussed to connect theory with practice. By the end of the course, you will gain a solid understanding of how simple codes can be combined and concatenated to create highly efficient and powerful error-correcting systems used in modern communication technologies.

Source: An Introduction to coding theory [Youtube Channel] NPTEL

Course suitable for

Automotive
Electrical
Engineering & Design
Research & Developmnet
Project Management

Key topics covered

Basics of error control coding
Introduction to coding theory fundamentals
Definition of codes and terminology
Simple repetition codes and their use
Linear block code basics
Generator and parity-check matrices
Hamming distance and error detection
Syndrome decoding method
Introduction to convolutional codes
Trellis and state diagrams
Encoding using convolutional codes
Viterbi decoding algorithm overview
Comparison of block vs convolutional codes
Real-world applications of coding
Summary and future directions in error control

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