Mathematics Of Information And Coding

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Mathematics of Information and Coding

Te Sun Han,Kingo Kobayashi
Mathematics of Information and Coding Book PDF

Author : Te Sun Han,Kingo Kobayashi
Publisher : American Mathematical Soc.
Page : 306 pages
File Size : 43,6 Mb
Release : 2002
Category : Computers
ISBN : 0821842560

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Mathematics of Information and Coding by Te Sun Han,Kingo Kobayashi Pdf

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.

Information and Coding Theory

Gareth A. Jones,J.Mary Jones
Information and Coding Theory Book PDF

Author : Gareth A. Jones,J.Mary Jones
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447103615

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Information and Coding Theory by Gareth A. Jones,J.Mary Jones Pdf

This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.

The Theory of Information and Coding

R. J. McEliece
The Theory of Information and Coding Book PDF

Author : R. J. McEliece
Publisher : Cambridge University Press
Page : 414 pages
File Size : 42,8 Mb
Release : 2004-07-15
Category : Computers
ISBN : 0521831857

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The Theory of Information and Coding by R. J. McEliece Pdf

Student edition of the classic text in information and coding theory

The Theory of Information and Coding

Robert J. McEliece
The Theory of Information and Coding Book PDF

Author : Robert J. McEliece
Publisher : Westview Press
Page : 326 pages
File Size : 52,9 Mb
Release : 1977
Category : Computers
ISBN : UOM:39015035283087

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The Theory of Information and Coding by Robert J. McEliece Pdf

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.

Introduction to Coding and Information Theory

Steven Roman
Introduction to Coding and Information Theory Book PDF

Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 40,8 Mb
Release : 1996-11-26
Category : Computers
ISBN : 0387947043

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Introduction to Coding and Information Theory by Steven Roman Pdf

This book is intended to introduce coding theory and information theory to undergraduate students of mathematics and computer science. It begins with a review of probablity theory as applied to finite sample spaces and a general introduction to the nature and types of codes. The two subsequent chapters discuss information theory: efficiency of codes, the entropy of information sources, and Shannon's Noiseless Coding Theorem. The remaining three chapters deal with coding theory: communication channels, decoding in the presence of errors, the general theory of linear codes, and such specific codes as Hamming codes, the simplex codes, and many others.

Fundamentals of Information Theory and Coding Design

Roberto Togneri,Christopher J.S deSilva
Fundamentals of Information Theory and Coding Design Book PDF

Author : Roberto Togneri,Christopher J.S deSilva
Publisher : CRC Press
Page : 385 pages
File Size : 50,6 Mb
Release : 2003-01-13
Category : Computers
ISBN : 9780203998106

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Fundamentals of Information Theory and Coding Design by Roberto Togneri,Christopher J.S deSilva Pdf

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 theoret

The Mathematics of Information Coding, Extraction and Distribution

George Cybenko,Dianne P. O'Leary,Jorma Rissanen
The Mathematics of Information Coding Extraction and Distribution Book PDF

Author : George Cybenko,Dianne P. O'Leary,Jorma Rissanen
Publisher : Springer Science & Business Media
Page : 142 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461215240

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The Mathematics of Information Coding, Extraction and Distribution by George Cybenko,Dianne P. O'Leary,Jorma Rissanen Pdf

High performance computing consumes and generates vast amounts of data, and the storage, retrieval, and transmission of this data are major obstacles to effective use of computing power. Challenges inherent in all of these operations are security, speed, reliability, authentication and reproducibility. This workshop focused on a wide variety of technical results aimed at meeting these challenges. Topics ranging from the mathematics of coding theory to the practicalities of copyright preservation for Internet resources drew spirited discussion and interaction among experts in diverse but related fields. We hope this volume contributes to continuing this dialogue.

Codes: An Introduction to Information Communication and Cryptography

Norman L. Biggs
Codes An Introduction to Information Communication and Cryptography Book PDF

Author : Norman L. Biggs
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 54,6 Mb
Release : 2008-12-16
Category : Computers
ISBN : 9781848002739

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Codes: An Introduction to Information Communication and Cryptography by Norman L. Biggs Pdf

Many people do not realise that mathematics provides the foundation for the devices we use to handle information in the modern world. Most of those who do know probably think that the parts of mathematics involvedare quite ‘cl- sical’, such as Fourier analysis and di?erential equations. In fact, a great deal of the mathematical background is part of what used to be called ‘pure’ ma- ematics, indicating that it was created in order to deal with problems that originated within mathematics itself. It has taken many years for mathema- cians to come to terms with this situation, and some of them are still not entirely happy about it. Thisbookisanintegratedintroductionto Coding.Bythis Imeanreplacing symbolic information, such as a sequence of bits or a message written in a naturallanguage,byanother messageusing (possibly) di?erentsymbols.There are three main reasons for doing this: Economy (data compression), Reliability (correction of errors), and Security (cryptography). I have tried to cover each of these three areas in su?cient depth so that the reader can grasp the basic problems and go on to more advanced study. The mathematical theory is introduced in a way that enables the basic problems to bestatedcarefully,butwithoutunnecessaryabstraction.Theprerequisites(sets andfunctions,matrices,?niteprobability)shouldbefamiliartoanyonewhohas taken a standard course in mathematical methods or discrete mathematics. A course in elementary abstract algebra and/or number theory would be helpful, but the book contains the essential facts, and readers without this background should be able to understand what is going on. vi Thereareafewplaceswherereferenceismadetocomputeralgebrasystems.

Coding and Information Theory

Steven Roman
Coding and Information Theory Book PDF

Author : Steven Roman
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 51,8 Mb
Release : 1992-06-04
Category : Mathematics
ISBN : 0387978127

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Coding and Information Theory by Steven Roman Pdf

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level. It assumes a basic knowledge of probability and modern algebra, but is otherwise self- contained. The intent is to describe as clearly as possible the fundamental issues involved in these subjects, rather than covering all aspects in an encyclopedic fashion. The first quarter of the book is devoted to information theory, including a proof of Shannon's famous Noisy Coding Theorem. The remainder of the book is devoted to coding theory and is independent of the information theory portion of the book. After a brief discussion of general families of codes, the author discusses linear codes (including the Hamming, Golary, the Reed-Muller codes), finite fields, and cyclic codes (including the BCH, Reed-Solomon, Justesen, Goppa, and Quadratic Residue codes). An appendix reviews relevant topics from modern algebra.

A First Course in Coding Theory

Raymond Hill
A First Course in Coding Theory Book PDF

Author : Raymond Hill
Publisher : Oxford University Press
Page : 268 pages
File Size : 52,9 Mb
Release : 1986
Category : Computers
ISBN : 0198538030

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A First Course in Coding Theory by Raymond Hill Pdf

Algebraic coding theory is a new and rapidly developing subject, popular for its many practical applications and for its fascinatingly rich mathematical structure. This book provides an elementary yet rigorous introduction to the theory of error-correcting codes. Based on courses given by the author over several years to advanced undergraduates and first-year graduated students, this guide includes a large number of exercises, all with solutions, making the book highly suitable for individual study.

Information-Spectrum Methods in Information Theory

Te Sun Han
Information Spectrum Methods in Information Theory Book PDF

Author : Te Sun Han
Publisher : Springer Science & Business Media
Page : 538 pages
File Size : 44,9 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9783662120668

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Information-Spectrum Methods in Information Theory by Te Sun Han Pdf

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

The Mathematical Theory of Communication

Claude E Shannon,Warren Weaver
The Mathematical Theory of Communication Book PDF

Author : Claude E Shannon,Warren Weaver
Publisher : University of Illinois Press
Page : 144 pages
File Size : 47,7 Mb
Release : 1998-09-01
Category : Language Arts & Disciplines
ISBN : 9780252098031

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The Mathematical Theory of Communication by Claude E Shannon,Warren Weaver Pdf

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 and Coding by Example

Mark Kelbert,Yu. M. Suhov
Information Theory and Coding by Example Book PDF

Author : Mark Kelbert,Yu. M. Suhov
Publisher : Cambridge University Press
Page : 527 pages
File Size : 47,7 Mb
Release : 2013-09-12
Category : Computers
ISBN : 9780521769358

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Information Theory and Coding by Example by Mark Kelbert,Yu. M. Suhov Pdf

A valuable teaching aid. Provides relevant background material, many examples and clear solutions to problems taken from real exam papers.

An Introduction to Single-User Information Theory

Fady Alajaji,Po-Ning Chen
An Introduction to Single User Information Theory Book PDF

Author : Fady Alajaji,Po-Ning Chen
Publisher : Springer
Page : 323 pages
File Size : 45,6 Mb
Release : 2018-04-24
Category : Mathematics
ISBN : 9789811080012

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An Introduction to Single-User Information Theory by Fady Alajaji,Po-Ning Chen Pdf

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.

Lattices and Codes

Wolfgang Ebeling
Lattices and Codes Book PDF

Author : Wolfgang Ebeling
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783322900142

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Lattices and Codes by Wolfgang Ebeling Pdf

In the 2nd edition numerous corrections have been made. More basic material has been included to make the text even more self-contained. A new section on the automorphism group of the Leech lattice has been added. Some hints to new results have been incorporated. With several new exercises.