Fundamentals in Information Theory and Coding

Fundamentals in Information Theory and Coding

The work introduces the fundamentals concerning the measure of discrete information, the modeling of discrete sources without and with a memory, as well as of channels and coding.

Author: Monica Borda

Publisher: Springer Science & Business Media

ISBN: 3642203477

Category: Technology & Engineering

Page: 485

View: 866

The work introduces the fundamentals concerning the measure of discrete information, the modeling of discrete sources without and with a memory, as well as of channels and coding. The understanding of the theoretical matter is supported by many examples. One particular emphasis is put on the explanation of Genomic Coding. Many examples throughout the book are chosen from this particular area and several parts of the book are devoted to this exciting implication of coding.
Categories: Technology & Engineering

Fundamentals of Information Theory and Coding Design

Fundamentals of Information Theory and Coding Design

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.

Author: Roberto Togneri

Publisher: CRC Press

ISBN: 0203998103

Category: Computers

Page: 385

View: 240

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
Categories: Computers

Information Theory and Coding by Example

Information Theory and Coding by Example

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

Author: Mark Kelbert

Publisher: Cambridge University Press

ISBN: 9780521769358

Category: Computers

Page: 526

View: 188

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

Coding and Information Theory

Coding and Information Theory

This book is an introduction to information and coding theory at the graduate or advanced undergraduate level.

Author: Steven Roman

Publisher: Springer Science & Business Media

ISBN: 0387978127

Category: Mathematics

Page: 488

View: 709

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.
Categories: Mathematics

Information Theory and Network Coding

Information Theory and Network Coding

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.

Author: Raymond W. Yeung

Publisher: Springer Science & Business Media

ISBN: 9780387792330

Category: Computers

Page: 580

View: 909

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.
Categories: Computers

Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Author: A. Ya. Khinchin

Publisher: Courier Corporation

ISBN: 9780486318448

Category: Mathematics

Page: 128

View: 368

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Categories: Mathematics

The Theory of Information and Coding

The Theory of Information and Coding

This is a self-contained introduction to the basics of the theory of information and coding.

Author: Robert McEliece

Publisher: Cambridge University Press

ISBN: 0521000955

Category: Computers

Page: 397

View: 682

This is a self-contained introduction to the basics of the theory of information and coding.
Categories: Computers

Information Theory

Information Theory

This book is about the definition of the Shannon measure of Information, and some derived quantities such as conditional information and mutual information.

Author: Arieh Ben-Naim

Publisher: World Scientific

ISBN: 9789813208827

Category: Computers

Page: 368

View: 584

This book is about the definition of the Shannon measure of Information, and some derived quantities such as conditional information and mutual information. Unlike many books, which refer to the Shannon's Measure of information (SMI) as "Entropy," this book makes a clear distinction between the SMI and Entropy. In the last chapter, Entropy is derived as a special case of SMI. Ample examples are provided which help the reader in understanding the different concepts discussed in this book. As with previous books by the author, this book aims at a clear and mystery-free presentation of the central concept in Information theory — the Shannon's Measure of Information. This book presents the fundamental concepts of Information theory in a friendly-simple language and is devoid of all kinds of fancy and pompous statements made by authors of popular science books who write on this subject. It is unique in its presentation of Shannon's measure of information, and the clear distinction between this concept and the thermodynamic entropy. Although some mathematical knowledge is required by the reader, the emphasis is on the concepts and their meaning rather on the mathematical details of the theory.
Categories: Computers

Introduction to Information Theory and Data Compression Second Edition

Introduction to Information Theory and Data Compression  Second Edition

An effective blend of carefully explained theory and practical applications, this text imparts the fundamentals of both information theory and data compression.

Author: Peter D. Johnson, Jr.

Publisher: CRC Press

ISBN: 1420035274

Category: Mathematics

Page: 384

View: 605

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
Categories: Mathematics

Information Theory And Coding

Information Theory And Coding

Information Theory and Channel CapacityMeasure of Information, Average Information Content of Symbols in Long Independent Sequences, Average Information Content of Symbols in Long Dependent Sequences, Mark-off Statistical Model for ...

Author: J. S. Chitode

Publisher:

ISBN: 8184311915

Category: Coding theory

Page: 362

View: 938

Information Theory and Channel CapacityMeasure of Information, Average Information Content of Symbols in Long Independent Sequences, Average Information Content of Symbols in Long Dependent Sequences, Mark-off Statistical Model for Information Sources, Entropy and Information Rate of Mark-off Sources, Encoding of the Source Output, Shannon s Encoding Algorithm, Communication Channels, Discrete Communication Channels, Rate of Information Transmission Over a Discrete Channel, Capacity of a Discrete Memoryless Channel, Discrete Channels with Memory Continuous Channels, Shannon-Hartley Law and its Implications.Fundamental Limits on PerformanceSome Properties of Entropy, Extension of a DMS, Prefix Coding, Source Coding Theorem, Huffman Coding, Mutual Information, Properties of Mutual Information, Differential Entropy and Mutual Information for Continuous Ensembles.Error Control CodingRationale for Coding and Types of Codes, Discrete Memory less Channels, Examples of Error Control Coding, Methods of Controlling Errors, Types of Errors, Types of Codes, Linear Block Codes, Matrix Description of Linear Block Codes, Error Detection and Error Correction Capabilities of Linear Block Codes, Single Error Correcting Hamming Codes, Lookup Table (or Syndrome) Decoding using Standard Array, Binary Cyclic Codes, Algebraic Structures of Cyclic Codes, Encoding using and (n k) Bit Shift Register, Syndrome Calculation, Error Detection and Error Correction, BCH Codes, RS Codes, Golay Codes, Shortened Cyclic Codes, Burst Error Correcting Codes, Convolution Codes, Time Domain Approach, Transfer Domain Approach, State, Tree and Trellis diagrams, Encoders and Decoders (using Viterbi algorithm only) for (n,k,1) Convolution Codes.
Categories: Coding theory

Science and Information Theory

Science and Information Theory

A classic source for understanding the connections between information theory and physics, this text was written by one of the giants of 20th-century physics and is appropriate for upper-level undergraduates and graduate students.

Author: Leon Brillouin

Publisher: Courier Corporation

ISBN: 0486439186

Category: Science

Page: 351

View: 572

A classic source for understanding the connections between information theory and physics, this text was written by one of the giants of 20th-century physics and is appropriate for upper-level undergraduates and graduate students. Topics include the principles of coding, coding problems and solutions, the analysis of signals, a summary of thermodynamics, thermal agitation and Brownian motion, and thermal noise in an electric circuit. A discussion of the negentropy principle of information introduces the author's renowned examination of Maxwell's demon. Concluding chapters explore the associations between information theory, the uncertainty principle, and physical limits of observation, in addition to problems related to computing, organizing information, and inevitable errors.
Categories: Science

Network Coding

Network Coding

This book is an ideal introduction for the communications and network engineer, working in research and development, who needs an intuitive introduction to network coding and to the increased performance and reliability it offers in many ...

Author: Muriel Médard

Publisher: Academic Press

ISBN: 9780123809186

Category: Computers

Page: 315

View: 697

Network coding is a field of information and coding theory and is a method of attaining maximum information flow in a network. This book is an ideal introduction for the communications and network engineer, working in research and development, who needs an intuitive introduction to network coding and to the increased performance and reliability it offers in many applications. This book is an ideal introduction for the research and development communications and network engineer who needs an intuitive introduction to the theory and wishes to understand the increased performance and reliability it offers over a number of applications. A clear and intuitive introduction to network coding, avoiding difficult mathematics, which does not require a background in information theory. Emphasis on how network coding techniques can be implemented, using a wide range of applications in communications and network engineering Detailed coverage on content distribution networks, peer-to-peer networks, overlay networks, streaming and multimedia applications, storage networks, network security and military networks, reliable communication, wireless networks, delay-tolerant and disruption-tolerant networks, cellular and ad hoc networks (including LTE and WiMAX), and connections with data compression and compressed sensing Edited and contributed by the world's leading experts
Categories: Computers

Fundamentals of Convolutional Coding

Fundamentals of Convolutional Coding

This edition has been expanded to reflect the developments in modern coding theory, including new chapters on low-density parity-check convolutional codes and turbo codes.

Author: Rolf Johannesson

Publisher: John Wiley & Sons

ISBN: 9781119098676

Category: Technology & Engineering

Page: 550

View: 409

Fundamentals of Convolutional Coding, Second Edition, regarded as a bible of convolutional coding brings you a clear and comprehensive discussion of the basic principles of this field Two new chapters on low-density parity-check (LDPC) convolutional codes and iterative coding Viterbi, BCJR, BEAST, list, and sequential decoding of convolutional codes Distance properties of convolutional codes Includes a downloadable solutions manual
Categories: Technology & Engineering

Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.

Author: Aleksandr I?Akovlevich Khinchin

Publisher: Courier Corporation

ISBN: 9780486604343

Category: Mathematics

Page: 120

View: 331

First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Categories: Mathematics

Codes and Cryptography

Codes and Cryptography

This text unifies the concepts of information, codes and cryptography as first studied by Shannon in his seminal papers on communication and secrecy systems.

Author: Dominic Welsh

Publisher: Oxford University Press

ISBN: 0198532873

Category: Ciphers.

Page: 257

View: 801

This textbook forms an introduction to codes, cryptography and information theory as it has developed since Shannon's original papers.
Categories: Ciphers.

Elements of Information Theory

Elements of Information Theory

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 ...

Author: Thomas M. Cover

Publisher: John Wiley & Sons

ISBN: 9781118585771

Category: Computers

Page: 776

View: 799

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.
Categories: Computers

Information and Communication Theory

Information and Communication Theory

This comprehensive book: Provides an adaptive version of Huffman coding that estimates source distribution Contains a series of problems that enhance an understanding of information presented Covers a variety of topics including optimal ...

Author: Stefan Höst

Publisher: Wiley-IEEE Press

ISBN: 9781119433781

Category: Technology & Engineering

Page: 368

View: 717

An important text that offers an in-depth guide to how information theory sets the boundaries for data communication In an accessible and practical style, Information and Communication Theory explores the topic of information theory and includes concrete tools that are appropriate for real-life communication systems. The text investigates the connection between theoretical and practical applications through a wide-variety of topics including an introduction to the basics of probability theory, information, (lossless) source coding, typical sequences as a central concept, channel coding, continuous random variables, Gaussian channels, discrete input continuous channels, and a brief look at rate distortion theory. The author explains the fundamental theory together with typical compression algorithms and how they are used in reality. He moves on to review source coding and how much a source can be compressed, and also explains algorithms such as the LZ family with applications to e.g. zip or png. In addition to exploring the channel coding theorem, the book includes illustrative examples of codes. This comprehensive text: Provides an adaptive version of Huffman coding that estimates source distribution Contains a series of problems that enhance an understanding of information presented in the text Covers a variety of topics including optimal source coding, channel coding, modulation and much more Includes appendices that explore probability distributions and the sampling theorem Written for graduate and undergraduate students studying information theory, as well as professional engineers, master’s students, Information and Communication Theory offers an introduction to how information theory sets the boundaries for data communication.
Categories: Technology & Engineering

Information and Coding Theory

Information and Coding Theory

This text is an elementary introduction to information and coding theory.

Author: Gareth A. Jones

Publisher: Springer Science & Business Media

ISBN: 1852336226

Category: Mathematics

Page: 210

View: 828

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.
Categories: Mathematics

Mathematical Principles of the Internet Volume 1

Mathematical Principles of the Internet  Volume 1

Information Theory and Coding, McGraw-Hill Book Company, New York, New
York. 2. Ash, R. B., 1965. Information Theory ... Fundamental Data Compression,
Butterworth-Heinemann, Great Britain. 25. Reza, F. M., 1994. An Introduction to ...

Author: Nirdosh Bhatnagar

Publisher: CRC Press

ISBN: 9781351379144

Category: Computers

Page: 1022

View: 373

This two-volume set on Mathematical Principles of the Internet provides a comprehensive overview of the mathematical principles of Internet engineering. The books do not aim to provide all of the mathematical foundations upon which the Internet is based. Instead, they cover a partial panorama and the key principles. Volume 1 explores Internet engineering, while the supporting mathematics is covered in Volume 2. The chapters on mathematics complement those on the engineering episodes, and an effort has been made to make this work succinct, yet self-contained. Elements of information theory, algebraic coding theory, cryptography, Internet traffic, dynamics and control of Internet congestion, and queueing theory are discussed. In addition, stochastic networks, graph-theoretic algorithms, application of game theory to the Internet, Internet economics, data mining and knowledge discovery, and quantum computation, communication, and cryptography are also discussed. In order to study the structure and function of the Internet, only a basic knowledge of number theory, abstract algebra, matrices and determinants, graph theory, geometry, analysis, optimization theory, probability theory, and stochastic processes, is required. These mathematical disciplines are defined and developed in the books to the extent that is needed to develop and justify their application to Internet engineering.
Categories: Computers