Mathematics Of Information And Coding
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Introduction To Coding And Information Theory
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-11-26
Introduction To Coding And Information Theory written by Steven Roman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-26 with Computers categories.
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.
Mathematics Of Information And Coding
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Author : Te Sun Han
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Mathematics Of Information And Coding written by Te Sun Han and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
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.
The Theory Of Information And Coding
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Author : R. J. McEliece
language : en
Publisher: Cambridge University Press
Release Date : 2004-07-15
The Theory Of Information And Coding written by R. J. McEliece and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-15 with Computers categories.
Student edition of the classic text in information and coding theory
Information And Coding Theory
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Author : Gareth A. Jones
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-06-26
Information And Coding Theory written by Gareth A. Jones and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-26 with Mathematics categories.
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.
Fundamentals Of Information Theory And Coding Design
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Author : Roberto Togneri
language : en
Publisher: CRC Press
Release Date : 2003-01-13
Fundamentals Of Information Theory And Coding Design written by Roberto Togneri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-13 with Computers categories.
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
Information Theory And Coding By Example
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Author : Mark Kelbert
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-12
Information Theory And Coding By Example written by Mark Kelbert and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-12 with Computers categories.
A valuable teaching aid. Provides relevant background material, many examples and clear solutions to problems taken from real exam papers.
Coding And Information Theory
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Author : Steven Roman
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-06-04
Coding And Information Theory written by Steven Roman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-04 with Mathematics categories.
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.
Information Theory
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Author : Imre Csiszár
language : en
Publisher: Elsevier
Release Date : 2014-07-10
Information Theory written by Imre Csiszár and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.
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.
An Introduction To Single User Information Theory
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Author : Fady Alajaji
language : en
Publisher: Springer
Release Date : 2018-04-24
An Introduction To Single User Information Theory written by Fady Alajaji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.
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.
Information Spectrum Methods In Information Theory
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Author : Te Sun Han
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18
Information Spectrum Methods In Information Theory written by Te Sun Han and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.
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