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The Mathematical Theory Of Communication


The Mathematical Theory Of Communication
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The Mathematical Theory Of Communication


The Mathematical Theory Of Communication
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Author : Claude Elwood Shannon
language : en
Publisher:
Release Date : 1962

The Mathematical Theory Of Communication written by Claude Elwood Shannon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Information theory categories.




The Mathematical Theory Of Communication


The Mathematical Theory Of Communication
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Author : Claude E Shannon
language : en
Publisher: University of Illinois Press
Release Date : 1998-09-01

The Mathematical Theory Of Communication written by Claude E Shannon and has been published by University of Illinois Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-01 with Language Arts & Disciplines categories.


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 Information


The Mathematical Theory Of Information
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Author : Jan Kåhre
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-06-30

The Mathematical Theory Of Information written by Jan Kåhre 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 2002-06-30 with Technology & Engineering categories.


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


Information And Communication Theory
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Author : Stefan Host
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-04

Information And Communication Theory written by Stefan Host and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-04 with Technology & Engineering categories.


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.



Between Communication And Information


Between Communication And Information
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Author : Jorge Reina Schement
language : en
Publisher: Transaction Publishers
Release Date : 1993-01-01

Between Communication And Information written by Jorge Reina Schement and has been published by Transaction Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Language Arts & Disciplines categories.


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.



Entropy And Information Theory


Entropy And Information Theory
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Author : Robert M. Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Entropy And Information Theory written by Robert M. Gray 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 2013-03-14 with Computers categories.


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.



Mathematical Foundations For Signal Processing Communications And Networking


Mathematical Foundations For Signal Processing Communications And Networking
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Author : Erchin Serpedin
language : en
Publisher: CRC Press
Release Date : 2017-12-04

Mathematical Foundations For Signal Processing Communications And Networking written by Erchin Serpedin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-04 with Computers categories.


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.



Information Theory


Information Theory
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Author : James V Stone
language : en
Publisher: Tutorial Introductions
Release Date : 2022-11

Information Theory written by James V Stone and has been published by Tutorial Introductions this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11 with categories.


Written in a tutorial style, with a comprehensive glossary, this text represents an ideal primer for novices who wish to become familiar with the basic principles of information theory.



Adaptive Information Processing


Adaptive Information Processing
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Author : Jeffrey R. Sampson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Adaptive Information Processing written by Jeffrey R. Sampson 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 2012-12-06 with Computers categories.


This book began as a series of lecture notes for a course called Introduc tion to Adaptive Systems which I developed for undergraduate Computing Science majors at the University of Alberta and first taught in 1973. The objective of the course has been threefold: (l) to expose undergraduate computer scientists to a variety of subjects in the theory and application of computation, subjects which are too often postponed to the graduate level or never taught at all; (2) to provide undergraduates with a background sufficient to make them effective participants in graduate level courses in Automata Theory, Biological Information Processing, and Artificial Intelligence; and (3) to present a personal viewpoint which unifies the apparently diverse aspects of the subject matter covered. All of these goals apply equally to this book, which is primarily designed for use in a one semester undergraduate computer science course. I assume the reader has a general knowledge of computers and programming, though not of particular machines or languages. His mathematical background should include basic concepts of number systems, set theory, elementary discrete probability, and logic.