Information Theory And Rate Distortion Theory For Communications And Compression
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Information Theory And Rate Distortion Theory For Communications And Compression
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Author : Jerry Gibson
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Information Theory And Rate Distortion Theory For Communications And Compression written by Jerry Gibson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
This book is very specifically targeted to problems in communications and compression by providing the fundamental principles and results in information theory and rate distortion theory for these applications and presenting methods that have proved and will prove useful in analyzing and designing real systems. The chapters contain treatments of entropy, mutual information, lossless source coding, channel capacity, and rate distortion theory; however, it is the selection, ordering, and presentation of the topics within these broad categories that is unique to this concise book. While the coverage of some standard topics is shortened or eliminated, the standard, but important, topics of the chain rules for entropy and mutual information, relative entropy, the data processing inequality, and the Markov chain condition receive a full treatment. Similarly, lossless source coding techniques presented include the Lempel-Ziv-Welch coding method. The material on rate Distortion theory and exploring fundamental limits on lossy source coding covers the often-neglected Shannon lower bound and the Shannon backward channel condition, rate distortion theory for sources with memory, and the extremely practical topic of rate distortion functions for composite sources.
Information And Communication Theory
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Author : Stefan Host
language : en
Publisher: John Wiley & Sons
Release Date : 2019-04-16
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 2019-04-16 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.
Rate Distortion Bounds For Voice And Video
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Author : Jerry D. Gibson
language : en
Publisher:
Release Date : 2014
Rate Distortion Bounds For Voice And Video written by Jerry D. Gibson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Data compression categories.
Numerous voice, still image, audio, and video compression standards have been developed over the last 25 years, and significant advances in the state of the art have been achieved. However, in the more than 50 years since Shannon's seminal 1959 paper, no rate distortion bounds for voice and video have been forthcoming. In this volume, we present the first rate distortion bounds for voice and video that actually lower bound the operational rate distortion performance of the best-performing voice and video codecs. The bounds indicate that improvements in rate distortion performance of approximately 50% over the best-performing voice and video codecs are possible. Research directions to improve the new bounds are discussed.
Digital Communications
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Author : Jerry D. Gibson
language : en
Publisher: Springer Nature
Release Date : 2023-05-22
Digital Communications written by Jerry D. Gibson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-22 with Technology & Engineering categories.
This book develops the concepts for the transmission of digital information sequences through analog, band limited channels, including the topics of pulse shaping, channels with amplitude and delay distortion, eye patterns, zero forcing and mean squared error equalization, and data scrambling. The text considers the effects of noise in digital communications, developing the fundamental ideas of signal space, optimum symbol-by-symbol detection, and modulation system design, with particular emphasis on maximum likelihood and maximum a posteriori detection and system performance comparisons based on energy per bit to noise ratio and average error probability. The key technique of maximum likelihood sequence estimation is also developed. Tutorial coverage provides an introduction to block and convolutional codes for error control coding, including coding and decoding methods for error detection and correction, tree and trellis representations, and Viterbi decoding. Some performance comparisons for selected codes in terms of energy per bit to noise ratio versus bit error probability are presented. This book examines joint coding and modulation methods such as constant envelope modulation and trellis coded modulation, including examples such as minimum shift keying and offset quadrature phase shift keying.
A First Course In Information Theory
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Author : Raymond W. Yeung
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
A First Course In Information Theory written by Raymond W. Yeung 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 with Computers categories.
An introduction to information theory for discrete random variables. Classical topics and fundamental tools are presented along with three selected advanced topics. Yeung (Chinese U. of Hong Kong) presents chapters on information measures, zero-error data compression, weak and strong typicality, the I-measure, Markov structures, channel capacity, rate distortion theory, Blahut-Arimoto algorithms, information inequalities, and Shannon-type inequalities. The advanced topics included are single-source network coding, multi-source network coding, and entropy and groups. Annotation copyrighted by Book News, Inc., Portland, OR.
Information Theory
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Author : Sergio Verdú
language : en
Publisher: Wiley-IEEE Press
Release Date : 2000
Information Theory written by Sergio Verdú and has been published by Wiley-IEEE Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Computers categories.
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Elements Of Information Theory
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Author : Thomas M. Cover
language : en
Publisher: Wiley-Interscience
Release Date : 1991-08-26
Elements Of Information Theory written by Thomas M. Cover and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-26 with Computers categories.
Following a brief introduction and overview, early chapters cover the basic algebraic relationships of entropy, relative entropy and mutual information, AEP, entropy rates of stochastics processes and data compression, duality of data compression and the growth rate of wealth. Later chapters explore Kolmogorov complexity, channel capacity, differential entropy, the capacity of the fundamental Gaussian channel, the relationship between information theory and statistics, rate distortion and network information theories. The final two chapters examine the stock market and inequalities in information theory. In many cases the authors actually describe the properties of the solutions before the presented problems.
Source Coding Theory
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Author : Robert M. Gray
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Source Coding 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 2012-12-06 with Technology & Engineering categories.
Source coding theory has as its goal the characterization of the optimal performance achievable in idealized communication systems which must code an information source for transmission over a digital communication or storage channel for transmission to a user. The user must decode the information into a form that is a good approximation to the original. A code is optimal within some class if it achieves the best possible fidelity given whatever constraints are imposed on the code by the available channel. In theory, the primary constraint imposed on a code by the channel is its rate or resolution, the number of bits per second or per input symbol that it can transmit from sender to receiver. In the real world, complexity may be as important as rate. The origins and the basic form of much of the theory date from Shan non's classical development of noiseless source coding and source coding subject to a fidelity criterion (also called rate-distortion theory) [73] [74]. Shannon combined a probabilistic notion of information with limit theo rems from ergodic theory and a random coding technique to describe the optimal performance of systems with a constrained rate but with uncon strained complexity and delay. An alternative approach called asymptotic or high rate quantization theory based on different techniques and approx imations was introduced by Bennett at approximately the same time [4]. This approach constrained the delay but allowed the rate to grow large.
Fourier Transforms Filtering Probability And Random Processes
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Author : Jerry D. Gibson
language : en
Publisher: Springer Nature
Release Date : 2023-03-06
Fourier Transforms Filtering Probability And Random Processes written by Jerry D. Gibson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Technology & Engineering categories.
This book provides the background and the mathematical methods necessary to understand the basic transforms in signal processing and linear systems and probability and random processes to prepare for in depth study of analog and digital communications systems. This tutorial presentation provides developments of Fourier series and other orthogonal series, including trigonometric and complex exponential Fourier series, least squares approximations and generalized Fourier series, and the spectral content of periodic signals. This text thoroughly covers Fourier transform pairs for continuous time signals, Fourier transform properties, and the magnitude and phase of Fourier transforms. The author includes discussions of techniques for the analysis of continuous time linear systems in the time and frequency domains with particular emphasis on the system transfer function, impulse response, system/filter bandwidth, power and energy calculations, and the time domain sampling theorem. The basics of probability and random processes, including the key concepts of expected value, variance, characteristic functions, common probability distributions, autocorrelation, power spectral densities, wide sense stationarity, and ergodicity, are all developed in some detail. Many examples and problems are included to illustrate and examine these topics. • Provides developments of Fourier series and other orthogonal series • Presents fundamental Fourier transform properties and example applications • Discusses techniques for the analysis of continuous time linear systems in the time and frequency domains • Presents a fundamental development of probability and random variables • Develops the basic ideas of random processes including autocorrelation, power spectral densities, stationarity, and ergodicity
An Introduction To Single User Information Theory
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Author : Fady Alajaji
language : en
Publisher: Springer
Release Date : 2018-04-24
An Introduction To Single User Information Theory written by Fady Alajaji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.
This book presents a succinct and mathematically rigorous treatment of the main pillars of Shannon’s information theory, discussing the fundamental concepts and indispensable results of Shannon’s mathematical theory of communications. It includes five meticulously written core chapters (with accompanying problems), emphasizing the key topics of information measures; lossless and lossy data compression; channel coding; and joint source-channel coding for single-user (point-to-point) communications systems. It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes. The book is ideal for a one-semester foundational course on information theory for senior undergraduate and entry-level graduate students in mathematics, statistics, engineering, and computing and information sciences. A comprehensive instructor’s solutions manual is available.