Recent Results In Information Theory

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Entropy and Information Theory

Author : Robert M. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 1475739826
Total Pages : 346 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Entropy and Information Theory by : Robert M. Gray

Download or read book Entropy and Information Theory written by Robert M. Gray and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Theory and the Central Limit Theorem

Author : Oliver Thomas Johnson
Publisher : World Scientific
ISBN 13 : 1860944736
Total Pages : 224 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Information Theory and the Central Limit Theorem by : Oliver Thomas Johnson

Download or read book Information Theory and the Central Limit Theorem written by Oliver Thomas Johnson and published by World Scientific. This book was released on 2004 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Network Information Theory

Author : Abbas El Gamal
Publisher : Cambridge University Press
ISBN 13 : 1139503146
Total Pages : 666 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Network Information Theory by : Abbas El Gamal

Download or read book Network Information Theory written by Abbas El Gamal and published by Cambridge University Press. This book was released on 2011-12-08 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Concentration of Measure Inequalities in Information Theory, Communications, and Coding

Author : Maxim Raginsky
Publisher :
ISBN 13 : 9781601989062
Total Pages : 256 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Concentration of Measure Inequalities in Information Theory, Communications, and Coding by : Maxim Raginsky

Download or read book Concentration of Measure Inequalities in Information Theory, Communications, and Coding written by Maxim Raginsky and published by . This book was released on 2014 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Information Theory

Author : Thomas M. Cover
Publisher : John Wiley & Sons
ISBN 13 : 1118585771
Total Pages : 788 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Elements of Information Theory by : Thomas M. Cover

Download or read book Elements of Information Theory written by Thomas M. Cover and published by John Wiley & Sons. This book was released on 2012-11-28 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Theory for Data Communications and Processing

Author : Shlomo Shamai (Shitz)
Publisher : MDPI
ISBN 13 : 3039438174
Total Pages : 294 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Information Theory for Data Communications and Processing by : Shlomo Shamai (Shitz)

Download or read book Information Theory for Data Communications and Processing written by Shlomo Shamai (Shitz) and published by MDPI. This book was released on 2021-01-13 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern, current, and future communications/processing aspects motivate basic information-theoretic research for a wide variety of systems for which we do not have the ultimate theoretical solutions (for example, a variety of problems in network information theory as the broadcast/interference and relay channels, which mostly remain unsolved in terms of determining capacity regions and the like). Technologies such as 5/6G cellular communications, Internet of Things (IoT), and mobile edge networks, among others, not only require reliable rates of information measured by the relevant capacity and capacity regions, but are also subject to issues such as latency vs. reliability, availability of system state information, priority of information, secrecy demands, energy consumption per mobile equipment, sharing of communications resources (time/frequency/space), etc. This book, composed of a collection of papers that have appeared in the Special Issue of the Entropy journal dedicated to “Information Theory for Data Communications and Processing”, reflects, in its eleven chapters, novel contributions based on the firm basic grounds of information theory. The book chapters address timely theoretical and practical aspects that constitute both interesting and relevant theoretical contributions, as well as direct implications for modern current and future communications systems.

Reliability Criteria in Information Theory and in Statistical Hypothesis Testing

Author : Evgueni A. Haroutunian
Publisher : Now Publishers Inc
ISBN 13 : 1601980469
Total Pages : 183 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Reliability Criteria in Information Theory and in Statistical Hypothesis Testing by : Evgueni A. Haroutunian

Download or read book Reliability Criteria in Information Theory and in Statistical Hypothesis Testing written by Evgueni A. Haroutunian and published by Now Publishers Inc. This book was released on 2008 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph 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.

The Mathematical Theory of Communication

Author : Claude E Shannon
Publisher : University of Illinois Press
ISBN 13 : 025209803X
Total Pages : 141 pages
Book Rating : 4.2/5 (52 download)

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Book Synopsis The Mathematical Theory of Communication by : Claude E Shannon

Download or read book The Mathematical Theory of Communication written by Claude E Shannon and published by University of Illinois Press. This book was released on 1998-09-01 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Theory

Author : Imre Csiszár
Publisher : Elsevier
ISBN 13 : 1483281574
Total Pages : 465 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Information Theory by : Imre Csiszár

Download or read book Information Theory written by Imre Csiszár and published by Elsevier. This book was released on 2014-07-10 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Model Based Inference in the Life Sciences

Author : David R. Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 0387740759
Total Pages : 203 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Model Based Inference in the Life Sciences by : David R. Anderson

Download or read book Model Based Inference in the Life Sciences written by David R. Anderson and published by Springer Science & Business Media. This book was released on 2007-12-22 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook introduces a science philosophy called "information theoretic" based on Kullback-Leibler information theory. It focuses on a science philosophy based on "multiple working hypotheses" and statistical models to represent them. The text is written for people new to the information-theoretic approaches to statistical inference, whether graduate students, post-docs, or professionals. Readers are however expected to have a background in general statistical principles, regression analysis, and some exposure to likelihood methods. This is not an elementary text as it assumes reasonable competence in modeling and parameter estimation.

Quantum Zero-Error Information Theory

Author : Elloá B. Guedes
Publisher : Springer
ISBN 13 : 3319427946
Total Pages : 205 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Quantum Zero-Error Information Theory by : Elloá B. Guedes

Download or read book Quantum Zero-Error Information Theory written by Elloá B. Guedes and published by Springer. This book was released on 2016-09-02 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at presenting the field of Quantum Information Theory in an intuitive, didactic and self-contained way, taking into account several multidisciplinary aspects. Therefore, this books is particularly suited to students and researchers willing to grasp fundamental concepts in Quantum Computation and Quantum Information areas. The field of Quantum Information Theory has increased significantly over the last three decades. Many results from classical information theory were translated and extended to a scenario where quantum effects become important. Most of the results in this area allows for an asymptotically small probability of error to represent and transmit information efficiently. Claude E.Shannon was the first scientist to realize that error-free classical information transmission can be accomplished under certain conditions. More recently, the concept of error-free classical communication was translated to the quantum context. The so-called Quantum Zero-Error Information Theory completes and extends the Shannon Zero-Error Information Theory.

Information Theory

Author : Robert B. Ash
Publisher :
ISBN 13 :
Total Pages : 339 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Information Theory by : Robert B. Ash

Download or read book Information Theory written by Robert B. Ash and published by . This book was released on 1965 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theorems of Information Theory

Author : Jacob Wolfowitz
Publisher : Springer Science & Business Media
ISBN 13 : 366200237X
Total Pages : 165 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Coding Theorems of Information Theory by : Jacob Wolfowitz

Download or read book Coding Theorems of Information Theory written by Jacob Wolfowitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: The imminent exhaustion of the first printing of this monograph and the kind willingness of the publishers have presented me with the opportunity to correct a few minor misprints and to make a number of additions to the first edition. Some of these additions are in the form of remarks scattered throughout the monograph. The principal additions are Chapter 11, most of Section 6. 6 (inc1uding Theorem 6. 6. 2), Sections 6. 7, 7. 7, and 4. 9. It has been impossible to inc1ude all the novel and inter esting results which have appeared in the last three years. I hope to inc1ude these in a new edition or a new monograph, to be written in a few years when the main new currents of research are more clearly visible. There are now several instances where, in the first edition, only a weak converse was proved, and, in the present edition, the proof of a strong converse is given. Where the proof of the weaker theorem em ploys a method of general application and interest it has been retained and is given along with the proof of the stronger result. This is wholly in accord with the purpose of the present monograph, which is not only to prove the principal coding theorems but also, while doing so, to acquaint the reader with the most fruitful and interesting ideas and methods used in the theory. I am indebted to Dr.

Introduction to Information Theory and Data Compression, Second Edition

Author : D.C. Hankerson
Publisher : CRC Press
ISBN 13 : 9781584883135
Total Pages : 394 pages
Book Rating : 4.8/5 (831 download)

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Book Synopsis Introduction to Information Theory and Data Compression, Second Edition by : D.C. Hankerson

Download or read book Introduction to Information Theory and Data Compression, Second Edition written by D.C. Hankerson and published by CRC Press. This book was released on 2003-02-26 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression. Although the two topics are related, this unique text allows either topic to be presented independently, and it was specifically designed so that the data compression section requires no prior knowledge of information theory. The treatment of information theory, while theoretical and abstract, is quite elementary, making this text less daunting than many others. After presenting the fundamental definitions and results of the theory, the authors then apply the theory to memoryless, discrete channels with zeroth-order, one-state sources. The chapters on data compression acquaint students with a myriad of lossless compression methods and then introduce two lossy compression methods. Students emerge from this study competent in a wide range of techniques. The authors' presentation is highly practical but includes some important proofs, either in the text or in the exercises, so instructors can, if they choose, place more emphasis on the mathematics. Introduction to Information Theory and Data Compression, Second Edition is ideally suited for an upper-level or graduate course for students in mathematics, engineering, and computer science. Features: Expanded discussion of the historical and theoretical basis of information theory that builds a firm, intuitive grasp of the subject Reorganization of theoretical results along with new exercises, ranging from the routine to the more difficult, that reinforce students' ability to apply the definitions and results in specific situations. Simplified treatment of the algorithm(s) of Gallager and Knuth Discussion of the information rate of a code and the trade-off between error correction and information rate Treatment of probabilistic finite state source automata, including basic results, examples, references, and exercises Octave and MATLAB image compression codes included in an appendix for use with the exercises and projects involving transform methods Supplementary materials, including software, available for download from the authors' Web site at www.dms.auburn.edu/compression

Information Theory for Continuous Systems

Author : Shunsuke Ihara
Publisher : World Scientific
ISBN 13 : 9789810209858
Total Pages : 332 pages
Book Rating : 4.2/5 (98 download)

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Book Synopsis Information Theory for Continuous Systems by : Shunsuke Ihara

Download or read book Information Theory for Continuous Systems written by Shunsuke Ihara and published by World Scientific. This book was released on 1993 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.

A First Course in Information Theory

Author : Raymond W. Yeung
Publisher : Springer Science & Business Media
ISBN 13 : 1441986081
Total Pages : 426 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A First Course in Information Theory by : Raymond W. Yeung

Download or read book A First Course in Information Theory written by Raymond W. Yeung and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Theory and Statistical Learning

Author : Frank Emmert-Streib
Publisher : Springer Science & Business Media
ISBN 13 : 0387848150
Total Pages : 443 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Information Theory and Statistical Learning by : Frank Emmert-Streib

Download or read book Information Theory and Statistical Learning written by Frank Emmert-Streib and published by Springer Science & Business Media. This book was released on 2009 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.