Information Theory and coding notes PDF
Date: 31st Jan 2023
In these “information theory and coding notes pdf”, we will study the basic aspects of Information Theory and Coding to the students. Shannon’s work form the underlying theme for the present course. Construction of finite fields and bounds on the parameters of a linear code discussed.
We have provided multiple complete information theory and coding handwritten notes pdf for any university student of BCA, MCA, BSc, BTech CSE, MTech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these information theory notes pdf by downloading them.
Topics in our information theory and coding notes pdf
The topics we will cover in these information theory and coding lecture notes pdf will be taken from the following list:
Concepts of Information Theory: Communication processes, A model of communication system, A quantitative measure of information, Binary unit of information, A measure of uncertainty, H function as a measure of uncertainty, Sources and binary sources, Measure of information for two-dimensional discrete finite probability schemes.
Entropy Function: A sketch of communication network, Entropy, Basic relationship among different entropies, A measure of mutual information, Interpretation of Shannon’s fundamental inequalities; Redundancy, Efficiency and channel capacity, Binary symmetric channel, Binary erasure channel, Uniqueness of the entropy function, Joint entropy and conditional entropy, Relative entropy and mutual information, Chain rules for entropy, Conditional relative entropy and conditional mutual information, Jensen’s inequality and its characterizations, The log sum inequality and its applications.
Concepts of Coding: Block codes, Hamming distance, Maximum likelihood decoding, Levels of error handling, Error correction, Error detection, Erasure correction, Construction of finite fields, Linear codes, Matrix representation of linear codes.
Bounds of Codes: Orthogonality relation, Encoding of linear codes, Decoding of linear codes, Singleton bound and maximum distance separable codes, Sphere-packing bound and perfect codes, Gilbert-Varshamov bound, MacWilliams’ identities.
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Author: Delhi University