entropy and information theory

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Entropy And Information Theory

Author : Robert M. Gray
ISBN : 9781475739824
Genre : Computers
File Size : 67. 48 MB
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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.

Information Theory

Author : JV Stone
ISBN : 9780956372857
Genre : Information theory
File Size : 69. 84 MB
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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.

Science And Information Theory

Author : Leon Brillouin
ISBN : 9780486497556
Genre : Science
File Size : 73. 10 MB
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Geared toward upper-level undergraduates and graduate students, this classic resource by a giant of 20th-century mathematics applies principles of information theory to Maxwell's demon, thermodynamics, and measurement problems. 1962 edition.

Elements Of Information Theory

Author : Thomas M. Cover
ISBN : 9781118585771
Genre : Computers
File Size : 74. 56 MB
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The latest edition of this classic is updated with new problem setsand material The Second Edition of this fundamental textbook maintains thebook's tradition of clear, thought-provoking instruction. Readersare provided once again with an instructive mix of mathematics,physics, statistics, and information theory. All the essential topics in information theory are covered indetail, including entropy, data compression, channel capacity, ratedistortion, network information theory, and hypothesis testing. Theauthors provide readers with a solid understanding of theunderlying theory and applications. Problem sets and a telegraphicsummary at the end of each chapter further assist readers. Thehistorical notes that follow each chapter recap the mainpoints. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedbackcapacity * Updated references Now current and enhanced, the Second Edition of Elements ofInformation Theory remains the ideal textbook for upper-levelundergraduate and graduate courses in electrical engineering,statistics, and telecommunications. An Instructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.

Information Theory For Continuous Systems

Author : Shunsuke Ihara
ISBN : 9810209851
Genre : Computers
File Size : 56. 35 MB
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This book provides a systematic mathematical analysis of entropy and stochastic processes, especially Gaussian processes, and its applications to information theory.The contents fall roughly into two parts. In the first part a unified treatment of entropy in information theory, probability theory and mathematical statistics is presented. The second part deals mostly with information theory for continuous communication systems. Particular emphasis is placed on the Gaussian channel.An advantage of this book is that, unlike most books on information theory, it places emphasis on continuous communication systems, rather than discrete ones.

Introduction To Coding And Information Theory

Author : Steven Roman
ISBN : 0387947043
Genre : Computers
File Size : 66. 12 MB
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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.

Quantum Information Theory

Author : Mark M. Wilde
ISBN : 9781107034259
Genre : Computers
File Size : 82. 28 MB
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A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

A First Course In Information Theory

Author : Raymond W. Yeung
ISBN : 9781441986085
Genre : Technology & Engineering
File Size : 82. 43 MB
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This book provides an up-to-date introduction to information theory. In addition to the classical topics discussed, it provides the first comprehensive treatment of the theory of I-Measure, network coding theory, Shannon and non-Shannon type information inequalities, and a relation between entropy and group theory. ITIP, a software package for proving information inequalities, is also included. With a large number of examples, illustrations, and original problems, this book is excellent as a textbook or reference book for a senior or graduate level course on the subject, as well as a reference for researchers in related fields.

Quantum Information Theory And Quantum Statistics

Author : Dénes Petz
ISBN : 9783540746362
Genre : Science
File Size : 42. 85 MB
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This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Entropy And Information Optics

Author : Francis T.S. Yu
ISBN : 0824703634
Genre : Science
File Size : 90. 47 MB
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"Identifies the relationship between entropy and information optics as the impetus for the research and development of high-speed, high-data-rate, and high-capacity communication systems. Examines computing, pattern recognition, and wavelet transformation."

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