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  Information Theory and Coding
 

Information Theory And Coding

by Murlidhar Kulkarni, K.S.Shivaprakasha

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  The book provides a comprehensive treatment of Information Theory and Coding as required for understanding and appreciating the basic concepts. It starts with the mathematical prerequisites and then uncovers major topics by way of different chapters on Information Theory, Source Coding, Communication Channels, Error Control Codes, Burst Errors, Convolution Codes and also a brief chapter on Cryptography. The book emphasizes on theoretical concepts and problem solving. The book is intended for undergraduate and postgraduate students of Electronics and Communication Engineering, Computer Science and Engineering, Information Technology and Telecommunication Engineering.

Preface

Mathematical Prerequisite
Introduction
Groups
Rings
Field
Quotient Ring
Vector Space
Introduction to Probability Theory
Random Variables
Statistical Averages
Frequently Encountered Density Functions
Random Processes
Joint CDF
Joint PDF
Autocorrelation Function

Information Theory
Introduction
Measure of Information
Average Information Content (Entropy) of a Zero Memory Source
Extension of Zero Memory Source
Entropy of a Source with Memory

Source Coding
Introduction
Types of Codes
Prefix Codes
Source Coding Theorem
Shannon’s First Encoding Theorem
Shannon-Fano Encoding Algorithm
Huffman Code (Compact Codes)
Extended Huffman Coding
Arithmetic Coding
Lempel-Ziv Algorithm
Run Length Encoding
An Overview on Image Compression
Introduction to Speech Compression

Information Channels
Introduction
Channel Models
System Entropies
Mutual Information (Trans information)
Channel Capacity
Capacity of Channels
Continuous Channels

Error Control Coding
Introduction
Need for Error Control Coding
Types of Codes
Coding Gain
Linear Block Codes
The Hamming Codes
Probability of an Undetected Error Pattern for an LBC over a BSC
Equivalent Codes
Cyclic Codes
Golay Codes
Shortened Cyclic Codes

Burst Error Correcting Codes
Introduction
Burst Errors
Interleaved Codes
Product Codes
Fire Codes
BCH Codes
Non-Binary BCH Codes and Reed-Solomon Codes

Convolution Codes
Introduction
Convolution Encoder
Representation of Convolution Code
Transfer Function of a Convolution Code
Distance Properties of Convolution Codes
Decoding of Convolution Codes
Stack Algorithm
Known Good Convolution Codes
Turbo Codes
LDPC Codes
Introduction to Trellis Coded Modulation

Cryptography and Information Security
Introduction
Introduction to Number Theory
An Overview of Cryptographic Algorithms
Symmetric Key Cryptography
Asymmetric Key Cryptography
Diffie-Hellman Key Exchange Algorithm
Data Encryption Standard
Triple DES
Advanced Encryption Standard (AES)
One-Way Hash Function
Cryptanalysis

Summary
Review Questions
Further Reading
Appendix A: MATLAB Programs
Appendix B: Objective Questions
IndexISBN - 9788126553051
 


Pages : 368
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