Recent Results in Information Theory
Author | : Samuel Kotz |
Publisher | : |
Total Pages | : 104 |
Release | : 1966 |
Genre | : Information theory |
ISBN | : |
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Author | : Samuel Kotz |
Publisher | : |
Total Pages | : 104 |
Release | : 1966 |
Genre | : Information theory |
ISBN | : |
Author | : Amiel Feinstein |
Publisher | : |
Total Pages | : 30 |
Release | : 1960 |
Genre | : Information theory |
ISBN | : |
Author | : Robert M. Gray |
Publisher | : Springer Science & Business Media |
Total Pages | : 346 |
Release | : 2013-03-14 |
Genre | : Computers |
ISBN | : 1475739826 |
This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.
Author | : Thomas M. Cover |
Publisher | : John Wiley & Sons |
Total Pages | : 788 |
Release | : 2012-11-28 |
Genre | : Computers |
ISBN | : 1118585771 |
The latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.
Author | : Oliver Thomas Johnson |
Publisher | : World Scientific |
Total Pages | : 224 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 1860944736 |
This book provides a comprehensive description of a new method of proving the central limit theorem, through the use of apparently unrelated results from information theory. It gives a basic introduction to the concepts of entropy and Fisher information, and collects together standard results concerning their behaviour. It brings together results from a number of research papers as well as unpublished material, showing how the techniques can give a unified view of limit theorems.
Author | : Maxim Raginsky |
Publisher | : |
Total Pages | : 256 |
Release | : 2014 |
Genre | : Computers |
ISBN | : 9781601989062 |
Concentration of Measure Inequalities in Information Theory, Communications, and Coding focuses on some of the key modern mathematical tools that are used for the derivation of concentration inequalities, on their links to information theory, and on their various applications to communications and coding.
Author | : Abbas El Gamal |
Publisher | : Cambridge University Press |
Total Pages | : 666 |
Release | : 2011-12-08 |
Genre | : Technology & Engineering |
ISBN | : 1139503146 |
This comprehensive treatment of network information theory and its applications provides the first unified coverage of both classical and recent results. With an approach that balances the introduction of new models and new coding techniques, readers are guided through Shannon's point-to-point information theory, single-hop networks, multihop networks, and extensions to distributed computing, secrecy, wireless communication, and networking. Elementary mathematical tools and techniques are used throughout, requiring only basic knowledge of probability, whilst unified proofs of coding theorems are based on a few simple lemmas, making the text accessible to newcomers. Key topics covered include successive cancellation and superposition coding, MIMO wireless communication, network coding, and cooperative relaying. Also covered are feedback and interactive communication, capacity approximations and scaling laws, and asynchronous and random access channels. This book is ideal for use in the classroom, for self-study, and as a reference for researchers and engineers in industry and academia.
Author | : Imre Csiszár |
Publisher | : Elsevier |
Total Pages | : 465 |
Release | : 2014-07-10 |
Genre | : Mathematics |
ISBN | : 1483281574 |
Information Theory: Coding Theorems for Discrete Memoryless Systems presents mathematical models that involve independent random variables with finite range. This three-chapter text specifically describes the characteristic phenomena of information theory. Chapter 1 deals with information measures in simple coding problems, with emphasis on some formal properties of Shannon's information and the non-block source coding. Chapter 2 describes the properties and practical aspects of the two-terminal systems. This chapter also examines the noisy channel coding problem, the computation of channel capacity, and the arbitrarily varying channels. Chapter 3 looks into the theory and practicality of multi-terminal systems. This book is intended primarily for graduate students and research workers in mathematics, electrical engineering, and computer science.
Author | : Claude E Shannon |
Publisher | : University of Illinois Press |
Total Pages | : 141 |
Release | : 1998-09-01 |
Genre | : Language Arts & Disciplines |
ISBN | : 025209803X |
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Author | : Robert B. Ash |
Publisher | : Halsted Press |
Total Pages | : 360 |
Release | : 1965 |
Genre | : Computers |
ISBN | : |