An Introduction to Single-User Information Theory

✍ Scribed by Fady Alajaji, Po-Ning Chen

• Publisher: Springer Singapore
• Year: 2018
• Tongue: English
• Leaves: 333
• Series: Springer Undergraduate Texts in Mathematics and Technology
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book presents a succinct and mathematically rigorous treatment of the main pillars of Shannon’s information theory, discussing the fundamental concepts and indispensable results of Shannon’s mathematical theory of communications. It includes five meticulously written core chapters (with accompanying problems), emphasizing the key topics of information measures; lossless and lossy data compression; channel coding; and joint source-channel coding for single-user (point-to-point) communications systems. It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes.

The book is ideal for a one-semester foundational course on information theory for senior undergraduate and entry-level graduate students in mathematics, statistics, engineering, and computing and information sciences. A comprehensive instructor’s solutions manual is available.

✦ Table of Contents

Front Matter ....Pages i-xvii
Introduction (Fady Alajaji, Po-Ning Chen)....Pages 1-4
Information Measures for Discrete Systems (Fady Alajaji, Po-Ning Chen)....Pages 5-54
Lossless Data Compression (Fady Alajaji, Po-Ning Chen)....Pages 55-104
Data Transmission and Channel Capacity (Fady Alajaji, Po-Ning Chen)....Pages 105-163
Differential Entropy and Gaussian Channels (Fady Alajaji, Po-Ning Chen)....Pages 165-217
Lossy Data Compression and Transmission (Fady Alajaji, Po-Ning Chen)....Pages 219-262
Back Matter ....Pages 263-323

✦ Subjects

Mathematics; Information and Communication, Circuits