Elements of Information Theory

Elements of Information Theory PDF Author: Thomas M. Cover
Publisher: John Wiley & Sons
ISBN: 1118585771
Category : Computers
Languages : en
Pages : 776

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Book Description
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.

Elements of Information Theory

Elements of Information Theory PDF Author: Thomas M. Cover
Publisher: John Wiley & Sons
ISBN: 1118585771
Category : Computers
Languages : en
Pages : 776

Get Book

Book Description
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.

Elements of Information Theory

Elements of Information Theory PDF Author: T. M. Cover
Publisher: John Wiley & Sons
ISBN: 9788126508143
Category : Information theory
Languages : en
Pages : 556

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Book Description
· Entropy, Relative Entropy and Mutual Information· The Asymptotic Equipartition Property· Entropy Rates of a Stochastic Process· Data Compression· Gambling and Data Compression· Kolmogorov Complexity· Channel Capacity· Differential Entropy· The Gaussian Channel· Maximum Entropy and Spectral Estimation· Information Theory and Statistics· Rate Distortion Theory· Network Information Theory· Information Theory and the Stock Market· Inequalities in Information Theory

Entropy and Information Theory

Entropy and Information Theory PDF Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1475739826
Category : Computers
Languages : en
Pages : 346

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Book Description
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.

An Introduction to Information Theory

An Introduction to Information Theory PDF Author: Fazlollah M. Reza
Publisher: Courier Corporation
ISBN: 9780486682105
Category : Mathematics
Languages : en
Pages : 532

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Book Description
Graduate-level study for engineering students presents elements of modern probability theory, elements of information theory with emphasis on its basic roots in probability theory and elements of coding theory. Emphasis is on such basic concepts as sets, sample space, random variables, information measure, and capacity. Many reference tables and extensive bibliography. 1961 edition.

Elements of Information Theory

Elements of Information Theory PDF Author: Gina Simpson
Publisher: Willford Press
ISBN: 9781682854082
Category : Computers
Languages : en
Pages : 219

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Book Description
Information theory studies the storage and extraction of information. Lossless data compression, lossy data compression and channel coding are some of the fundamental aspects of information theory. Information theory is essentially used in cryptography, which studies the practice of securing communication. It is used in our day-to-day life applications such as ATM cards, computer passwords, website encryptions and electronic commerce. Coherent flow of topics, student-friendly language and extensive use of examples make this book an invaluable source of knowledge. It aims to serve as a resource guide for students and experts alike and contribute to the growth of the discipline.

Information Theory and Network Coding

Information Theory and Network Coding PDF Author: Raymond W. Yeung
Publisher: Springer Science & Business Media
ISBN: 0387792341
Category : Computers
Languages : en
Pages : 592

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Book Description
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.

Information-Theoretic Aspects of Neural Networks

Information-Theoretic Aspects of Neural Networks PDF Author: P. S. Neelakanta
Publisher: CRC Press
ISBN: 1000102750
Category : Computers
Languages : en
Pages : 416

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Book Description
Information theoretics vis-a-vis neural networks generally embodies parametric entities and conceptual bases pertinent to memory considerations and information storage, information-theoretic based cost-functions, and neurocybernetics and self-organization. Existing studies only sparsely cover the entropy and/or cybernetic aspects of neural information. Information-Theoretic Aspects of Neural Networks cohesively explores this burgeoning discipline, covering topics such as: Shannon information and information dynamics neural complexity as an information processing system memory and information storage in the interconnected neural web extremum (maximum and minimum) information entropy neural network training non-conventional, statistical distance-measures for neural network optimizations symmetric and asymmetric characteristics of information-theoretic error-metrics algorithmic complexity based representation of neural information-theoretic parameters genetic algorithms versus neural information dynamics of neurocybernetics viewed in the information-theoretic plane nonlinear, information-theoretic transfer function of the neural cellular units statistical mechanics, neural networks, and information theory semiotic framework of neural information processing and neural information flow fuzzy information and neural networks neural dynamics conceived through fuzzy information parameters neural information flow dynamics informatics of neural stochastic resonance Information-Theoretic Aspects of Neural Networks acts as an exceptional resource for engineers, scientists, and computer scientists working in the field of artificial neural networks as well as biologists applying the concepts of communication theory and protocols to the functioning of the brain. The information in this book explores new avenues in the field and creates a common platform for analyzing the neural complex as well as artificial neural networks.

Aspects of Kolmogorov Complexity the Physics of Information

Aspects of Kolmogorov Complexity the Physics of Information PDF Author: Bradley S. Tice
Publisher: River Publishers
ISBN: 8792329268
Category : Computers
Languages : en
Pages : 175

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Book Description
The research presented in Aspects of Kolmogorov Complexity addresses the fundamental standard of defining randomness as measured by a Martin-Lof level of randomness as found in random sequential binary strings. It offers a classical study of statistics that addresses both a fundamental standard of statistics as well as an applied measure for statistical communication theory. The research points to compression levels in a random state that are greater than what is found in current literature. A historical overview of the field of Kolmogorov Complexity and Algorithmic Information Theory, a subfield of Information Theory, is provided as well as examples using a radix 3, radix 4, and radix 5 base numbers for both random and non-random sequential strings. The text also examines monochromatic and chromatic symbols and both theoretical and applied aspects of data compression as they relate to the transmission and storage of information. The appendix contains papers read at conferences on the subject and current references. Technical topics addressed in Aspects of Kolmogorov Complexity include: - Statistical Communication Theory - Algorithmic Information Theory - Kolmogorov Complexity - Martin-Lof Randomness - Compression, Transmission and Storage of Information

An Introduction to Information Theory

An Introduction to Information Theory PDF Author: Fazlollah M. Reza
Publisher: Courier Corporation
ISBN: 0486158446
Category : Mathematics
Languages : en
Pages : 532

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Book Description
Graduate-level study for engineering students presents elements of modern probability theory, information theory, coding theory, more. Emphasis on sample space, random variables, capacity, etc. Many reference tables and extensive bibliography. 1961 edition.

Information Theory and Statistical Learning

Information Theory and Statistical Learning PDF Author: Frank Emmert-Streib
Publisher: Springer Science & Business Media
ISBN: 0387848150
Category : Computers
Languages : en
Pages : 443

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Book Description
This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.