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Author: Robert M. Gray Publisher: Springer Science & Business Media ISBN: 146131643X Category : Technology & Engineering Languages : en Pages : 197
Book Description
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.
Author: Robert M. Gray Publisher: Springer Science & Business Media ISBN: 146131643X Category : Technology & Engineering Languages : en Pages : 197
Book Description
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.
Author: Pier Luigi Dragotti Publisher: Academic Press ISBN: 9780080922744 Category : Computers Languages : en Pages : 360
Book Description
The advent of wireless sensor technology and ad-hoc networks has made DSC a major field of interest. Edited and written by the leading players in the field, this book presents the latest theory, algorithms and applications, making it the definitive reference on DSC for systems designers and implementers, researchers, and graduate students. This book gives a clear understanding of the performance limits of distributed source coders for specific classes of sources and presents the design and application of practical algorithms for realistic scenarios. Material covered includes the use of standard channel codes, such as LDPC and Turbo codes, to DSC, and discussion of the suitability of compressed sensing for distributed compression of sparse signals. Extensive applications are presented and include distributed video coding, microphone arrays and securing biometric data. This book is a great resource covering the breadth and depth of distributed source coding that’s appropriate for everyone from theoreticians to practitioners. – Richard Baraniuk, Rice University *Clear explanation of the principles of distributed source coding (DSC), a technology that has applications in sensor networks, ad-hoc networks, and distributed wireless video systems for surveillance *Edited and written by the leading players in the field, providing a complete and authoritative reference *Contains all the latest theory, practical algorithms for DSC design and the most recently developed applications
Author: Dr. J. S. Chitode Publisher: Technical Publications ISBN: 9333223975 Category : Technology & Engineering Languages : en Pages : 534
Book Description
Various measures of information are discussed in first chapter. Information rate, entropy and mark off models are presented. Second and third chapter deals with source coding. Shannon's encoding algorithm, discrete communication channels, mutual information, Shannon's first theorem are also presented. Huffman coding and Shannon-Fano coding is also discussed. Continuous channels are discussed in fourth chapter. Channel coding theorem and channel capacity theorems are also presented. Block codes are discussed in chapter fifth, sixth and seventh. Linear block codes, Hamming codes, syndrome decoding is presented in detail. Structure and properties of cyclic codes, encoding and syndrome decoding for cyclic codes is also discussed. Additional cyclic codes such as RS codes, Golay codes, burst error correction is also discussed. Last chapter presents convolutional codes. Time domain, transform domain approach, code tree, code trellis, state diagram, Viterbi decoding is discussed in detail.
Author: John B. Anderson Publisher: Springer Science & Business Media ISBN: 1461539986 Category : Technology & Engineering Languages : en Pages : 438
Book Description
oW should coded communication be approached? Is it about prob H ability theorems and bounds, or about algorithms and structures? The traditional course in information theory and coding teaches these together in one course in which the Shannon theory, a probabilistic the ory of information, dominates. The theory's predictions and bounds to performance are valuable to the coding engineer, but coding today is mostly about structures and algorithms and their size, speed and error performance. While coding has a theoretical basis, it has a practical side as well, an engineering side in which costs and benefits matter. It is safe to say that most of the recent advances in information theory and coding are in the engineering of coding. These thoughts motivate the present text book: A coded communication book based on methods and algorithms, with information theory in a necessary but supporting role. There has been muchrecent progress in coding, both inthe theory and the practice, and these pages report many new advances. Chapter 2 cov ers traditional source coding, but also the coding ofreal one-dimensional sources like speech and new techniques like vector quantization. Chapter 4 is a unified treatment of trellis codes, beginning with binary convolu tional codes and passing to the new trellis modulation codes.
Author: Thomas Wiegand Publisher: Now Publishers Inc ISBN: 1601984081 Category : Computers Languages : en Pages : 235
Book Description
Source Coding is the first part of the two-part monograph Fundamentals of Source and Video Coding by Wiegand and Schwarz. It is devoted to the fundamental subject of source coding. Source Coding is a standalone text and also forms the basis for the second part, which describes the application of sources coding techniques to video coding. Based on a simple and accessible presentation of the fundamentals of information and rate distortion theory, the authors describe the subjects of entropy coding and quantization as well as predictive and transform coding. All relevant source coding results that are required for the understanding of today's video compression algorithms are established. The emphasis is on source coding techniques that have become relevant for video coding in recent years. To illustrate the concepts and efficiency of the basic sources coding techniques, the authors provide numerous examples and experimental results for simple model sources. In addition to widely known results, the text also offers some elements that are new or rarely covered in references on source coding today, which include: Huffman coding for variable-length symbol sequences and PIPE coding, scalar quantization in combination with advanced entropy coding techniques, a simple model for the rate distortion performance of entropy-constrained scalar quantization for Gaussian sources that is valid over the entire bit rate range, a proof for the optimality of the Karhunen-Loève transform for Gaussian sources. Source Coding is suitable as a primary text for courses on this subject. It can also be used as a resource for teaching and as a comprehensive reference for professional engineers and academic researches.
Author: G. Gabor Publisher: Springer Science & Business Media ISBN: 1461386497 Category : Technology & Engineering Languages : en Pages : 107
Book Description
The spreading of digital technology has resulted in a dramatic increase in the demand for data compression (DC) methods. At the same time, the appearance of highly integrated elements has made more and more com plicated algorithms feasible. It is in the fields of speech and image trans mission and the transmission and storage of biological signals (e.g., ECG, Body Surface Mapping) where the demand for DC algorithms is greatest. There is, however, a substantial gap between the theory and the practice of DC: an essentially nonconstructive information theoretical attitude and the attractive mathematics of source coding theory are contrasted with a mixture of ad hoc engineering methods. The classical Shannonian infor mation theory is fundamentally different from the world of practical pro cedures. Theory places great emphasis on block-coding while practice is overwhelmingly dominated by theoretically intractable, mostly differential predictive coding (DPC), algorithms. A dialogue between theory and practice has been hindered by two pro foundly different conceptions of a data source: practice, mostly because of speech compression considerations, favors non stationary models, while the theory deals mostly with stationary ones.
Author: Jacob Wolfowitz Publisher: Springer ISBN: 3662015102 Category : Computers Languages : en Pages : 133
Book Description
This monograph originated with a course of lectures on information theory which I gave at Cornell University during the academic year 1958-1959. It has no pretensions to exhaustiveness, and, indeed, no pretensions at all. Its purpose is to provide, for mathematicians of some maturity, an easy introduction to the ideas and principal known theorems of a certain body of coding theory. This purpose will be amply achieved if the reader is enabled, through his reading, to read the (sometimes obscurely written) literature and to obtain results of his own. The theory is ob viously in a rapid stage of development; even while this monograph was in manuscript several of its readers obtained important new results. The first chapter is introductory and the subject matter of the monograph is described at the end of the chapter. There does not seem to be a uniquely determined logical order in which the material should be arranged. In determining the final arrangement I tried to obtain an order which makes reading easy and yet is not illogical. I can only hope that the resultant compromises do not earn me the criticism that I failed on both counts. There are a very few instances in the monograph where a stated theorem is proved by a method which is based on a result proved only later.
Author: Imre Csiszár Publisher: Elsevier ISBN: 1483281574 Category : Mathematics Languages : en Pages : 460
Book Description
Information Theory: Coding Theorems for Discrete Memoryless Systems presents mathematical models that involve independent random variables with finite range. This three-chapter text specifically describes the characteristic phenomena of information theory. Chapter 1 deals with information measures in simple coding problems, with emphasis on some formal properties of Shannon’s information and the non-block source coding. Chapter 2 describes the properties and practical aspects of the two-terminal systems. This chapter also examines the noisy channel coding problem, the computation of channel capacity, and the arbitrarily varying channels. Chapter 3 looks into the theory and practicality of multi-terminal systems. This book is intended primarily for graduate students and research workers in mathematics, electrical engineering, and computer science.
Author: Robert M. Gray
Author: Robert M. Gray
Author: Pier Luigi Dragotti
Author: Dr. J. S. Chitode
Author: John B. Anderson
Author: Thomas Wiegand
Author: G. Gabor
Author: Giuseppe Longo
Author: Jacob Wolfowitz
Author: Imre Csiszár
Author: Giuseppe Longo