Information Theory

Coding Theorems for Discrete Memoryless Systems

Author: Imre Csiszár,János Körner

Publisher: Elsevier

ISBN: 1483281574

Category: Mathematics

Page: 460

View: 2707

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.

Network Information Theory

Author: Abbas El Gamal,Young-Han Kim

Publisher: Cambridge University Press

ISBN: 1139503146

Category: Technology & Engineering

Page: N.A

View: 3055

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.

A Student's Guide to Coding and Information Theory

Author: Stefan M. Moser,Po-Ning Chen

Publisher: Cambridge University Press

ISBN: 1107601967

Category: Technology & Engineering

Page: 206

View: 7402

A concise, easy-to-read guide, introducing beginners to the engineering background of modern communication systems, from mobile phones to data storage. Assuming only basic knowledge of high-school mathematics and including many practical examples and exercises to aid understanding, this is ideal for anyone who needs a quick introduction to the subject.

Coding Theorems of Information Theory

Reihe: Wahrscheinlichkeitstheorie und Mathematische Statistik

Author: Jacob Wolfowitz

Publisher: Springer

ISBN: 3662015102

Category: Computers

Page: 125

View: 8036

This monograph originated with a course of lectures on information theory which I gave at Cornell University during the academic year 1958-1959. It has no pretensions to exhaustiveness, and, indeed, no pretensions at all. Its purpose is to provide, for mathematicians of some maturity, an easy introduction to the ideas and principal known theorems of a certain body of coding theory. This purpose will be amply achieved if the reader is enabled, through his reading, to read the (sometimes obscurely written) literature and to obtain results of his own. The theory is ob viously in a rapid stage of development; even while this monograph was in manuscript several of its readers obtained important new results. The first chapter is introductory and the subject matter of the monograph is described at the end of the chapter. There does not seem to be a uniquely determined logical order in which the material should be arranged. In determining the final arrangement I tried to obtain an order which makes reading easy and yet is not illogical. I can only hope that the resultant compromises do not earn me the criticism that I failed on both counts. There are a very few instances in the monograph where a stated theorem is proved by a method which is based on a result proved only later.

A First Course in Information Theory

Author: Raymond W. Yeung

Publisher: Springer Science & Business Media

ISBN: 1441986081

Category: Technology & Engineering

Page: 412

View: 4136

This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.

Elements of Information Theory

Author: Thomas M. Cover,Joy A. Thomas

Publisher: John Wiley & Sons

ISBN: 1118585771

Category: Computers

Page: 792

View: 5601

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. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Information Theory, Inference and Learning Algorithms

Author: David J. C. MacKay

Publisher: Cambridge University Press

ISBN: 9780521642989

Category: Computers

Page: 628

View: 3588

Fun and exciting textbook on the mathematics underpinning the most dynamic areas of modern science and engineering.

Information Theory and Statistics

A Tutorial

Author: Imre Csiszár,Paul C. Shields

Publisher: Now Publishers Inc

ISBN: 9781933019055

Category: Computers

Page: 115

View: 3375

Information Theory and Statistics: A Tutorial is concerned with applications of information theory concepts in statistics, in the finite alphabet setting. The topics covered include large deviations, hypothesis testing, maximum likelihood estimation in exponential families, analysis of contingency tables, and iterative algorithms with an "information geometry" background. Also, an introduction is provided to the theory of universal coding, and to statistical inference via the minimum description length principle motivated by that theory. The tutorial does not assume the reader has an in-depth knowledge of Information Theory or statistics. As such, Information Theory and Statistics: A Tutorial, is an excellent introductory text to this highly-important topic in mathematics, computer science and electrical engineering. It provides both students and researchers with an invaluable resource to quickly get up to speed in the field.

Algebraic Coding

First French-Soviet Workshop, Paris, July 22-24, 1991. Proceedings

Author: Gerard Cohen

Publisher: Springer Science & Business Media

ISBN: 9783540551300

Category: Computers

Page: 158

View: 8562

This volume presents the proceedings of the first French-Soviet workshop on algebraic coding. The papers fall into four categories: applications of exponential sums, covering radius, constructions, and decoding.

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Author: Evgueni A. Haroutunian,Mariam E. Haroutunian,Ashot N. Harutyunyan

Publisher: Now Publishers Inc

ISBN: 1601980469

Category: Computers

Page: 171

View: 2621

Reliability Criteria in Information Theory and Statistical Hypothesis Testing briefly formulates fundamental notions and results of Shannon theory on reliable transmission via coding and gives a survey of results obtained in last two-three decades by the authors, their colleagues and other researchers. It is essential reading for students, researchers and professionals working in Information Theory.

Information Theory

Author: Robert B. Ash

Publisher: Courier Corporation

ISBN: 0486141454

Category: Technology & Engineering

Page: 352

View: 1678

DIVAnalysis of channel models and proof of coding theorems; study of specific coding systems; and study of statistical properties of information sources. Sixty problems, with solutions. Advanced undergraduate to graduate level. /div

An Introduction to Information Theory

Author: Fazlollah M. Reza

Publisher: Courier Corporation

ISBN: 0486158446

Category: Mathematics

Page: 528

View: 4682

Graduate-level study for engineering students presents elements of modern probability theory, information theory, coding theory, more. Emphasis on sample space, random variables, capacity, etc. Many reference tables and extensive bibliography. 1961 edition.

Polarization and Polar Codes

Author: Eren Şaşoǧlu

Publisher: Now Pub

ISBN: 9781601985965

Category: Computers

Page: 136

View: 9104

Polarization and Polar Codes: A Tutorial is the first in-depth tutorial on this exciting new technique that promises to offer major improvements in digital communications systems."

Fundamentals of Information Theory and Coding Design

Author: Roberto Togneri,Christopher J.S deSilva

Publisher: CRC Press

ISBN: 9780203998106

Category: Mathematics

Page: 385

View: 4394

Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoretical foundations, Fundamentals of Information Theory and Coding Design presents working algorithms and implementations that can be used to design and create real systems. The emphasis is on the underlying concepts governing information theory and the mathematical basis for modern coding systems, but the authors also provide the practical details of important codes like Reed-Solomon, BCH, and Turbo codes. Also setting this text apart are discussions on the cascading of information channels and the additivity of information, the details of arithmetic coding, and the connection between coding of extensions and Markov modelling. Complete, balanced coverage, an outstanding format, and a wealth of examples and exercises make this an outstanding text for upper-level students in computer science, mathematics, and engineering and a valuable reference for telecommunications engineers and coding theory researchers.

Physical-Layer Security

From Information Theory to Security Engineering

Author: Matthieu Bloch,João Barros

Publisher: Cambridge University Press

ISBN: 1139496298

Category: Technology & Engineering

Page: N.A

View: 1148

This complete guide to physical-layer security presents the theoretical foundations, practical implementation, challenges and benefits of a groundbreaking new model for secure communication. Using a bottom-up approach from the link level all the way to end-to-end architectures, it provides essential practical tools that enable graduate students, industry professionals and researchers to build more secure systems by exploiting the noise inherent to communications channels. The book begins with a self-contained explanation of the information-theoretic limits of secure communications at the physical layer. It then goes on to develop practical coding schemes, building on the theoretical insights and enabling readers to understand the challenges and opportunities related to the design of physical layer security schemes. Finally, applications to multi-user communications and network coding are also included.

Information Theory and Reliable Communication

Course held at the Department for Automation and Information July 1970

Author: Robert Gallager

Publisher: Springer

ISBN: 3709129451

Category: Technology & Engineering

Page: 115

View: 9552

Information Theory and Network Coding

Author: Raymond W. Yeung

Publisher: Springer Science & Business Media

ISBN: 0387792333

Category: Computers

Page: 580

View: 1802

This book is an evolution from my book A First Course in Information Theory published in 2002 when network coding was still at its infancy. The last few years have witnessed the rapid development of network coding into a research ?eld of its own in information science. With its root in infor- tion theory, network coding has not only brought about a paradigm shift in network communications at large, but also had signi?cant in?uence on such speci?c research ?elds as coding theory, networking, switching, wireless c- munications,distributeddatastorage,cryptography,andoptimizationtheory. While new applications of network coding keep emerging, the fundamental - sults that lay the foundation of the subject are more or less mature. One of the main goals of this book therefore is to present these results in a unifying and coherent manner. While the previous book focused only on information theory for discrete random variables, the current book contains two new chapters on information theory for continuous random variables, namely the chapter on di?erential entropy and the chapter on continuous-valued channels. With these topics included, the book becomes more comprehensive and is more suitable to be used as a textbook for a course in an electrical engineering department.

Information Theoretic Learning

Renyi's Entropy and Kernel Perspectives

Author: Jose C. Principe

Publisher: Springer Science & Business Media

ISBN: 9781441915702

Category: Computers

Page: 448

View: 2222

This book is the first cohesive treatment of ITL algorithms to adapt linear or nonlinear learning machines both in supervised and unsupervised paradigms. It compares the performance of ITL algorithms with the second order counterparts in many applications.