Information Theory and Coding

IIT Bombay , Prof.S.N.Merchant

Discussion on Error Free Communication Over Noisy Channel

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Lecture Description

Information Theory and Coding by Prof. S.N.Merchant, Department of Electrical Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in

Course Description

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

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