The Mathematical Theory Of Communication

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The Mathematical Theory of Communication

Author : Claude E Shannon,Warren Weaver
Publisher : University of Illinois Press
Page : 144 pages
File Size : 46,7 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.

The Mathematical Theory of Communication

Author : Claude Elwood Shannon,Warren Weaver
Publisher : Unknown
Page : 136 pages
File Size : 49,5 Mb
Release : 1962
Category : Information theory
ISBN : STANFORD:36105024124401

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

The Mathematical Theory of Information

Author : Jan Kåhre
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 52,9 Mb
Release : 2002-06-30
Category : Technology & Engineering
ISBN : 1402070640

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The Mathematical Theory of Information by Jan Kåhre Pdf

The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.

Information and Communication Theory

Author : Stefan Host
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 49,6 Mb
Release : 2019-03-04
Category : Technology & Engineering
ISBN : 9781119433804

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Information and Communication Theory by Stefan Host Pdf

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.

Information Theory

Author : JV Stone
Publisher : Sebtel Press
Page : 243 pages
File Size : 46,7 Mb
Release : 2015-01-01
Category : Business & Economics
ISBN : 9780956372857

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Information Theory by JV Stone Pdf

Originally developed by Claude Shannon in the 1940s, information theory laid the foundations for the digital revolution, and is now an essential tool in telecommunications, genetics, linguistics, brain sciences, and deep space communication. In this richly illustrated book, accessible examples are used to introduce information theory in terms of everyday games like ‘20 questions’ before more advanced topics are explored. Online MatLab and Python computer programs provide hands-on experience of information theory in action, and PowerPoint slides give support for teaching. Written in an informal style, with a comprehensive glossary and tutorial appendices, this text is an ideal primer for novices who wish to learn the essential principles and applications of information theory.

Mathematical Systems Theory in Biology, Communications, Computation and Finance

Author : Joachim Rosenthal,David S. Gilliam
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780387216966

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Mathematical Systems Theory in Biology, Communications, Computation and Finance by Joachim Rosenthal,David S. Gilliam Pdf

This volume contains survey and research articles by some of the leading researchers in mathematical systems theory - a vibrant research area in its own right. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists.

Information: A Very Short Introduction

Author : Luciano Floridi
Publisher : Oxford University Press
Page : 153 pages
File Size : 51,6 Mb
Release : 2010-02-25
Category : Computers
ISBN : 9780199551378

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Information: A Very Short Introduction by Luciano Floridi Pdf

Introduction; 1 The information revolution; 2 The language of information; 3 Mathematical information; 4 Semantic information; 5 Physical information; 6 Biological information; 7 Economic information; 8 The ethics of information; Conclusion; References.

Mathematical Foundations for Signal Processing, Communications, and Networking

Author : Erchin Serpedin,Thomas Chen,Dinesh Rajan
Publisher : CRC Press
Page : 852 pages
File Size : 48,6 Mb
Release : 2017-12-04
Category : Computers
ISBN : 9781439855140

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Mathematical Foundations for Signal Processing, Communications, and Networking by Erchin Serpedin,Thomas Chen,Dinesh Rajan Pdf

Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Mathematical Foundations of Information Theory

Author : Aleksandr I?Akovlevich Khinchin
Publisher : Courier Corporation
Page : 130 pages
File Size : 50,5 Mb
Release : 1957-01-01
Category : Mathematics
ISBN : 9780486604343

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Mathematical Foundations of Information Theory by Aleksandr I?Akovlevich Khinchin Pdf

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.

Communication Studies

Author : Andrew Beck,Peter Bennett,Peter Wall
Publisher : Routledge
Page : 369 pages
File Size : 42,8 Mb
Release : 2013-07-23
Category : Language Arts & Disciplines
ISBN : 9781136485282

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Communication Studies by Andrew Beck,Peter Bennett,Peter Wall Pdf

This book brings together a huge range of material including academic articles, film scripts and interplanetary messages adrift on space probes with supporting commentary to clarify their imporatance to the field. Communication Studies: The Essential Resource is a collection of essays and texts for all those studying communication at university and pre-university level. Individual sections address: * texts and meanings in communication * themes in personal communication * communication practice * culture, communication and context * debates and controversies in communication. Edited by the same teachers and examiners who brought us AS Communication Studies: The Essential Introduction, this volume will help communications students to engage with the subject successfully. Its key features include: * suggested further activities at the end of each chapter * a glossary of key terms * a comprehensive bibliography with web resources.

A Mind at Play

Author : Jimmy Soni,Rob Goodman
Publisher : Simon and Schuster
Page : 384 pages
File Size : 54,7 Mb
Release : 2017-07-18
Category : Biography & Autobiography
ISBN : 9781476766683

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A Mind at Play by Jimmy Soni,Rob Goodman Pdf

Chronicles the life and times of the lesser-known Information Age intellect, revealing how his discoveries and innovations set the stage for the digital era, influencing the work of such collaborators and rivals as Alan Turing, John von Neumann and Vannevar Bush.

Between Communication and Information

Author : Brent D. Ruben
Publisher : Routledge
Page : 555 pages
File Size : 47,9 Mb
Release : 2017-09-29
Category : Language Arts & Disciplines
ISBN : 9781351294706

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Between Communication and Information by Brent D. Ruben Pdf

The current popularity of such phrases as "information age" and 'information society" suggests thatlinks between information,communication, and: behavior have become closer and more complex in a technology-dominated culture. Social scientists have adopted an integrated approach to these concepts, opening up new theoretical perspectives on the media, social psychology, personal relationships, group process, international diplomacy, and consumer behavior. Between Communication and Information maps out a richly interdisciplinary approach to this development, offering innovative research and advancing our understanding of integrative frameworks.This fourth volume in the series reflects recently established lines of research as well as the continuing interest in basic areas of communications theory and practice. In Part I contributors explore the junction between communication and information from various theoretical perspectives, delving into the multilayered relationship between the two phenomena. Cross-disciplinary approaches in the fields of etymology and library science are presented in the second section. Part III. brings together case studies that examine the interaction of information and communication at individual and group levels; information exchanges between doctors and patients, children and computers, journalists and electronic news sources are analyzed in depth. The concluding segment focuses on large social contexts in which the interaction of communication and information affects the evolution of institutions and culture.Between Information and Communication both extends and challenges current thinking on the mutually supporting interplay of information and human behavior. It will be of interest to sociologists, media analysts, and communication specialists.

Information Theory and Reliable Communication

Author : Robert Gallager
Publisher : Springer
Page : 116 pages
File Size : 49,6 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709129456

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Information Theory and Reliable Communication by Robert Gallager Pdf

Entropy and Information Theory

Author : Robert M. Gray
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 43,8 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9781475739824

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Entropy and Information Theory by Robert M. Gray Pdf

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.

Network Information Theory

Author : Abbas El Gamal,Young-Han Kim
Publisher : Cambridge University Press
Page : 128 pages
File Size : 55,8 Mb
Release : 2011-12-08
Category : Technology & Engineering
ISBN : 9781139503143

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Network Information Theory by Abbas El Gamal,Young-Han Kim Pdf

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.