The Rate Distortion Function Of A Binary Symmetric Source When Side Information May Be Absent
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The Rate Distortion Function Of A Binary Symmetric Source When Side Information May Be Absent
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Author : Kenneth James Kerpez
language : en
Publisher:
Release Date : 1986
The Rate Distortion Function Of A Binary Symmetric Source When Side Information May Be Absent written by Kenneth James Kerpez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Coding theory categories.
Masters Theses In The Pure And Applied Sciences
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Author : Wade H. Shafer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Masters Theses In The Pure And Applied Sciences written by Wade H. Shafer 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 Science categories.
Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) * at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thougtit that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all con cerned if the printing and distribution of the volumes were handled by an interna tional publishing house to assure improved service and broader dissemination. Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Cor poration of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 31 (thesis year 1986) a total of 11 ,480 theses titles trom 24 Canadian and 182 United States universities. We are sure that this broader base tor these titles reported will greatly enhance the value ot this important annual reterence work. While Volume 31 reports theses submitted in 1986, on occasion, certain univer sities do re port theses submitted in previousyears but not reported at the time.
Network Information Theory
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Author : Abbas El Gamal
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-08
Network Information Theory written by Abbas El Gamal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-08 with Technology & Engineering categories.
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.
The Rate Distortion Of A Binary Source With A Local Distortion Measure
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Author : Weng Choon Yu
language : en
Publisher:
Release Date : 1971
The Rate Distortion Of A Binary Source With A Local Distortion Measure written by Weng Choon Yu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Binary system (Mathematics) categories.
Information Rates Of Autoegressive Sources
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Author : Robert M. Gray
language : en
Publisher:
Release Date : 1969
Information Rates Of Autoegressive Sources written by Robert M. Gray and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.
The rate distortion function, R(D), of a source can be interpreted as being the average amount of information that must be transmitted about a source for the receiver to be able to approximate the source within an average distortion D. It is demonstrated that for the class of time discrete autoregressive sources the rate distortion function for any difference distortion measure is lower bounded by the rate distortion function of the independent letter source that generates the autoregressive source. Autoregressive sources are constructed by passing such an independent letter source through a time discrete linear filter whose z-transform has only poles. This behavior holds even if the autoregressive source is non-stationary. The lower bound is shown to hold with equality for a non-zero range of small average distortion for two important special cases: the class of possibly nonstationary Gaussian autoregressive processes with a mean square error fidelity criterion and the binary symmetric first order Markov source with an average error per bit fidelity criterion. The positive coding theorem is proven for the possibly nonstationary Gaussian autoregressive process with a constraint on its parameters. (Author).
Rate Distortion Approach To Broadcasting With Side Information
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Author : Sinem Unal
language : en
Publisher:
Release Date : 2016
Rate Distortion Approach To Broadcasting With Side Information written by Sinem Unal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
We consider data dissemination from a single transmitter to multiple receivers with side information, which is possibly due to prior transmissions. Side information at receivers can be utilized to reduce the broadcasting rate at the transmitter. How to accomplish this is the main focus of this dissertation. We address this problem in three parts from an information theoretic point of view. First we model the source as uniform vector of bits and each side information is an arbitrary subset of the source. Known as index coding problem [1], we approach this problem as a special case of rate-distortion with multiple receivers, each with side information. Specifically, using techniques developed for the rate-distortion problem, we provide two upper bounds and one lower bound on the optimal index coding rate. The upper bounds are based on specific choices of the auxiliary random variables in the best existing scheme for the ratedistortion problem [2], which is shown invalid for the general rate-distortion problem and improved in our work [3] later. The lower bound is based on a new lower bound for the general rate-distortion problem. The bounds are shown to coincide for a number of (groupcast) index coding instances, including all instances for which the number of decoders does not exceed three. Then we consider rate-distortion with two decoders, each with distinct side information. This problem is well understood when the side information at the various decoders satisfies a certain degradedness condition. We consider cases in which this degradedness condition is violated but the source and the side information consist of jointly Gaussian vectors. We provide a hierarchy of four lower bounds on the optimal rate. These bounds are then used to determine the optimal rate for several classes of instances. Lastly, we consider a rate distortion problem with side information at multiple decoders. We provide an upper bound for general instances of this problem by utilizing random binning and simultaneous decoding techniques [4] and compare it with the existing bounds. Also, we provide a lower bound for the general problem, which was inspired by a linear-programming lower bound for index coding, and show that it subsumes most of the lower bounds in literature including the ones we used for the index coding and rate distortion with two decoders problems. Using these upper and lower bounds, we explicitly characterize the rate distortion function of a problem which can be seen as a Gaussian analogue of the \odd-cycle\" index coding problem."
Index To Ieee Publications
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Author : Institute of Electrical and Electronics Engineers
language : en
Publisher:
Release Date : 1988
Index To Ieee Publications written by Institute of Electrical and Electronics Engineers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Electric engineering categories.
Issues for 1973- cover the entire IEEE technical literature.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2001
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Referativny Zhurnal
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Author :
language : en
Publisher:
Release Date : 1987
Referativny Zhurnal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Elements Of Information Theory
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Author : Thomas M. Cover
language : en
Publisher: John Wiley & Sons
Release Date : 2012-11-28
Elements Of Information Theory written by Thomas M. Cover 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 2012-11-28 with Computers categories.
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.