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

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Publisher : Foundations and Trends (R) in Communications and Information Theory
ISBN 13 : 9781601987242
Total Pages : 260 pages
Book Rating : 4.9/5 (872 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 Foundations and Trends (R) in Communications and Information Theory. This book was released on 2013-10 with total page 260 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.

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

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Publisher : Foundations and Trends (R) in Communications and Information Theory
ISBN 13 : 9781680835342
Total Pages : 266 pages
Book Rating : 4.8/5 (353 download)

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

Download or read book Concentration of Measure Inequalities in Information Theory, Communications, and Coding: ThirdEdition written by Maxim Raginsky and published by Foundations and Trends (R) in Communications and Information Theory. This book was released on 2018-12-18 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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.

Information-Spectrum Methods in Information Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540435815
Total Pages : 568 pages
Book Rating : 4.4/5 (358 download)

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Book Synopsis Information-Spectrum Methods in Information Theory by : Te Sun Han

Download or read book Information-Spectrum Methods in Information Theory written by Te Sun Han and published by Springer Science & Business Media. This book was released on 2002-10-08 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book nicely complements the existing literature on information and coding theory by concentrating on arbitrary nonstationary and/or nonergodic sources and channels with arbitrarily large alphabets. Even with such generality the authors have managed to successfully reach a highly unconventional but very fertile exposition rendering new insights into many problems." -- MATHEMATICAL REVIEWS

Information Theory

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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.

Topics in Multi-User Information Theory

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Publisher : Now Publishers Inc
ISBN 13 : 1601981481
Total Pages : 201 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Topics in Multi-User Information Theory by : Gerhard Kramer

Download or read book Topics in Multi-User Information Theory written by Gerhard Kramer and published by Now Publishers Inc. This book was released on 2008 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a review of eleven of the fundamental issues in multi-user information theory. Each chapter is devoted to one particular issue and follows the same structure and starts with a problem description and then describes solutions to the problem for general and specific cases.

Mathematics of Information and Coding

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821842560
Total Pages : 306 pages
Book Rating : 4.8/5 (425 download)

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Book Synopsis Mathematics of Information and Coding by : Te Sun Han

Download or read book Mathematics of Information and Coding written by Te Sun Han and published by American Mathematical Soc.. This book was released on 2002 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to provide engineering and/or statistics students, communications engineers, and mathematicians with the firm theoretic basis of source coding (or data compression) in information theory. Although information theory consists of two main areas, source coding and channel coding, the authors choose here to focus only on source coding. The reason is that, in a sense, it is more basic than channel coding, and also because of recent achievements in source coding and compression. An important feature of the book is that whenever possible, the authors describe universal coding methods, i.e., the methods that can be used without prior knowledge of the statistical properties of the data. The authors approach the subject of source coding from the very basics to the top frontiers in an intuitively transparent, but mathematically sound, manner. The book serves as a theoretical reference for communication professionals and statisticians specializing in information theory. It will also serve as an excellent introductory text for advanced-level and graduate students taking elementary or advanced courses in telecommunications, electrical engineering, statistics, mathematics, and computer science.

Coding theorems of classical and quantum information theory

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Publisher : Springer
ISBN 13 : 9386279592
Total Pages : 187 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Coding theorems of classical and quantum information theory by : K.R. Parthasarathy

Download or read book Coding theorems of classical and quantum information theory written by K.R. Parthasarathy and published by Springer. This book was released on 2013-01-01 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Convexity and Concentration

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Publisher : Springer
ISBN 13 : 1493970054
Total Pages : 620 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Convexity and Concentration by : Eric Carlen

Download or read book Convexity and Concentration written by Eric Carlen and published by Springer. This book was released on 2017-04-20 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute of Mathematics and its Applications during the Spring 2015 where geometric analysis, convex geometry and concentration phenomena were the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The volume is organized into two parts. Part I contains those contributions that focus primarily on problems motivated by probability theory, while Part II contains those contributions that focus primarily on problems motivated by convex geometry and geometric analysis. This book will be of use to those who research convex geometry, geometric analysis and probability directly or apply such methods in other fields.

The Theory of Information and Coding

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Author :
Publisher : Westview Press
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Theory of Information and Coding by : Robert J. McEliece

Download or read book The Theory of Information and Coding written by Robert J. McEliece and published by Westview Press. This book was released on 1977 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a self-contained introduction to the theory of information and coding. It can be used either for self-study or as the basis for a course at either the graduate or ,undergraduate level. The text includes dozens of worked examples and several hundred problems for solution.

Coding Theorems of Information Theory

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Publisher : Springer
ISBN 13 : 3662015102
Total Pages : 133 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. This book was released on 2013-04-17 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Coding, Filtering, and Information Theory

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Principles of Coding, Filtering, and Information Theory by : Leonard S. Schwartz

Download or read book Principles of Coding, Filtering, and Information Theory written by Leonard S. Schwartz and published by . This book was released on 1963 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Information Theory and Coding by Example

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Publisher : Cambridge University Press
ISBN 13 : 0521769353
Total Pages : 527 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Information Theory and Coding by Example by : Mark Kelbert

Download or read book Information Theory and Coding by Example written by Mark Kelbert and published by Cambridge University Press. This book was released on 2013-09-12 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable teaching aid. Provides relevant background material, many examples and clear solutions to problems taken from real exam papers.

Coding Theorems of Information Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642668224
Total Pages : 184 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Coding Theorems of Information Theory by : J. Wolfowitz

Download or read book Coding Theorems of Information Theory written by J. Wolfowitz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the present edition of this monograph is the same as that of earlier editions, namely, to provide readers with some mathemati cal maturity a rigorous and modern introduction to the ideas and principal theorems of probabilistic information theory. It is not necessary that readers have any prior knowledge whatever of information theory. The rapid development of the subject has had the consequence that any one book can now cover only a fraction of the literature. The latter is often written by engineers for engineers, and the mathematical reader may have some difficulty with it. The mathematician who understands the content and methods of this monograph should be able to read the literature and start on research of his own in a subject of mathematical beauty and interest. The present edition differs from the second in the following: Chapter 6 has been completely replaced by one on arbitrarily varying channels. Chapter 7 has been greatly enlarged. Chapter 8 on semi-continuous channels has been drastically shortened, and Chapter 11 on sequential decoding completely removed. The new Chapters 11-15 consist entirely of material which has been developed only in the last few years. The topics discussed are rate distortion, source coding, multiple access channels, and degraded broadcast channels. Even the specialist will find a new approach in the treatment of these subjects. Many of the proofs are new, more perspicuous, and considerably shorter than the original ones.

Mathematics Going Forward

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Publisher : Springer Nature
ISBN 13 : 3031122445
Total Pages : 629 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Mathematics Going Forward by : Jean-Michel Morel

Download or read book Mathematics Going Forward written by Jean-Michel Morel and published by Springer Nature. This book was released on 2023-06-14 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.

Digital Quantum Information Processing with Continuous-Variable Systems

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Publisher : Springer Nature
ISBN 13 : 9811982880
Total Pages : 172 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Digital Quantum Information Processing with Continuous-Variable Systems by : Takaya Matsuura

Download or read book Digital Quantum Information Processing with Continuous-Variable Systems written by Takaya Matsuura and published by Springer Nature. This book was released on 2023-02-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides theoretical methods of connecting discrete-variable quantum information processing to continuous-variable one. It covers the two major fields of quantum information processing, quantum communication and quantum computation, leading to achievement of a long-sought full security of continuous-variable quantum key distribution (QKD) and proposal of a resource-efficient method for optical quantum computing. Firstly, the book provides a security of continuous-variable QKD against arbitrary attacks under a realistic condition such as finite communication rounds and the use of digitized information processing. The book also provides the unified view for conventionally used approximate Gottesman-Kitaev-Preskill (GKP) codes, which encodes qudits on a continuous-variable system, enabling direct comparison between researches based on different approximations. The book finally proposes a resource-efficient method to realize the universal optical quantum computation using the GKP code via the direct preparation of the GKP magic state instead of GKP Pauli states. Feasibility of the proposed protocol is discussed based on the existing experimental proposals for the GKP state preparation.

High-Dimensional Probability

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Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Information Theory and Statistics

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Publisher : Now Publishers Inc
ISBN 13 : 9781933019055
Total Pages : 128 pages
Book Rating : 4.0/5 (19 download)

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Book Synopsis Information Theory and Statistics by : Imre Csiszár

Download or read book Information Theory and Statistics written by Imre Csiszár and published by Now Publishers Inc. This book was released on 2004 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.