Information Theory and Coding

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2 STUDENTS

Introduction to Information Theory and Coding – Definition of Information Measure and Entropy – Extension of An Information Source and Markov Source – Adjoint of An Information Source, Joint and Conditional Information Measures – Properties of Joint and Conditional Information Measures and a Markov Source – Asymptotic Properties of Entropy and Problem Solving in Entropy – Block Code and Its Properties – Instantaneous Code and Its Properties – Kraft-Mcmillan Equality and Compact Codes – Shannon’s First Theorem – Coding Strategies and Introduction to Huffman Coding – Huffman Coding and Proof of Its Optimality – Competitive Optimality of The Shannon Code – Non-Binary Huffman Code and Other Codes – Adaptive Huffman Coding – Shannon-Fano-Elias Coding and Introduction to Arithmetic Coding

Introduction to Information Channel – Equivocation and Mutual Information – Properties of Different Information Channels – Reduction of Information Channels – Properties of Mutual Information and Introduction to Channel Capacity – Calculation of Channel Capacity for Different Information Channel – Shannon’s Second Theorem – Discussion on Error Free Communication Over Noisy Channel – Error Free Communication Over a Binary Symmetric Channel – Differential Entropy and Evaluation of Mutual Information – Channel Capacity of a Bandlimited Continuous Channel – Introduction to Rate-Distortion Theory – Definition and Properties of Rate-Distortion Functions – Calculation of Rate-Distortion Functions – Computational Approach For Calculation of Rate-Distortion Functions – Introduction to Quantization – Lloyd-Max Quantizer – Companded Quantization – Variable Length Coding and Problem Solving In Quantizer Design – Vector Quantization – Transform – Transform Coding

Course Curriculum

Introduction to Information Theory and Coding Details 52:54
Definition of Information Measure and Entropy Details 53:16
Extension of An Information Source and Markov Source Details 56:7
Adjoint of An Information Source, Joint and Conditional Information Measures Details 56:48
Properties of Joint and Conditional Information Measures and a Markov Source Details 49:56
Asymptotic Properties of Entropy and Problem Solving in Entropy Details 56:21
Block Code and Its Properties Details 51:4
Instantaneous Code and Its Properties Details 52:31
Kraft-Mcmillan Equality and Compact Codes Details 52:18
Shannon`s First Theorem Details 52:6
Coding Strategies and Introduction to Huffman Coding Details 54:21
Huffman Coding and Proof of Its Optimality Details 53:37
Competitive Optimality of The Shannon Code Details 51:28
Non-Binary Huffman Code and Other Codes Details 48:26
Adaptive Huffman Coding part-1 Details 50:57
Adaptive Huffman Coding Part-2 Details 49:21
Shannon-Fano-Elias Coding and Introduction to Arithmetic Coding Details 53:9
Arithmetic Coding Part-1 Details 50:9
Arithmetic Coding Part-2 Details 51:50
Introduction to Information Channel Details 55:49
Equivocation and Mutual Information Details 51:36
Properties of Different Information Channels Details 54:12
Reduction of Information Channels Details 50:49
Properties of Mutual Information and Introduction to Channel Capacity Details 51:51
Calculation of Channel Capacity for Different Information Channel Details 47:12
Shannon`s Second Theorem Details 50:22
Discussion on Error Free Communication Over Noisy Channel Details 53:24
Error Free Communication Over a Binary Symmetric Channel Details 50:3
Differential Entropy and Evaluation of Mutual Information Details 55:53
Channel Capacity of a Bandlimited Continuous Channel Details 55:42
Introduction to Rate-Distortion Theory Details 49:6
Definition and Properties of Rate-Distortion Functions Details 47:2
Calculation of Rate-Distortion Functions Details 53:38
Computational Approach For Calculation of Rate-Distortion Functions Details 49:13
Introduction to Quantization Details 50:53
Lloyd-Max Quantizer Details 49:19
Companded Quantization Details 57:32
Variable Length Coding and Problem Solving In Quantizer Design Details 51:13
Vector Quantization Details 54:53
Transform Part-1 Details 51:58
Transform Coding Part-2 Details 54:14

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