Modern Coding Theory
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| Author | : Tom Richardson |
| Publisher | : Cambridge University Press |
| Total Pages | : 590 |
| Release | : 2008-03-17 |
| Genre | : Technology & Engineering |
| ISBN | : 9780521852296 |
Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.
| Author | : Tom Richardson |
| Publisher | : Cambridge University Press |
| Total Pages | : 589 |
| Release | : 2008-03-17 |
| Genre | : Technology & Engineering |
| ISBN | : 1139469649 |
Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.
| Author | : Ron Roth |
| Publisher | : Cambridge University Press |
| Total Pages | : 592 |
| Release | : 2006-02-23 |
| Genre | : Computers |
| ISBN | : 9780521845045 |
This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.
| Author | : Roberto Togneri |
| Publisher | : CRC Press |
| Total Pages | : 385 |
| Release | : 2003-01-13 |
| Genre | : Computers |
| ISBN | : 0203998103 |
Books on information theory and coding have proliferated over the last few years, but few succeed in covering the fundamentals without losing students in mathematical abstraction. Even fewer build the essential theoretical framework when presenting algorithms and implementation details of modern coding systems. Without abandoning the theoret
| Author | : Raquel Pinto |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2016-10-15 |
| Genre | : Mathematics |
| ISBN | : 9783319365527 |
The topics covered in this book, written by researchers at the forefront of their field, represent some of the most relevant research areas in modern coding theory: codes and combinatorial structures, algebraic geometric codes, group codes, quantum codes, convolutional codes, network coding and cryptography. The book includes a survey paper on the interconnections of coding theory with constrained systems, written by an invited speaker, as well as 37 cutting-edge research communications presented at the 4th International Castle Meeting on Coding Theory and Applications (4ICMCTA), held at the Castle of Palmela in September 2014. The event’s scientific program consisted of four invited talks and 39 regular talks by authors from 24 different countries. This conference provided an ideal opportunity for communicating new results, exchanging ideas, strengthening international cooperation, and introducing young researchers into the coding theory community.
| Author | : San Ling |
| Publisher | : Cambridge University Press |
| Total Pages | : 238 |
| Release | : 2004-02-12 |
| Genre | : Computers |
| ISBN | : 9780521529235 |
Coding theory is concerned with successfully transmitting data through a noisy channel and correcting errors in corrupted messages. It is of central importance for many applications in computer science or engineering. This book gives a comprehensive introduction to coding theory whilst only assuming basic linear algebra. It contains a detailed and rigorous introduction to the theory of block codes and moves on to more advanced topics like BCH codes, Goppa codes and Sudan's algorithm for list decoding. The issues of bounds and decoding, essential to the design of good codes, features prominently. The authors of this book have, for several years, successfully taught a course on coding theory to students at the National University of Singapore. This book is based on their experiences and provides a thoroughly modern introduction to the subject. There are numerous examples and exercises, some of which introduce students to novel or more advanced material.
| Author | : J. H. van Lint |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 181 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662079984 |
Coding theory is still a young subject. One can safely say that it was born in 1948. It is not surprising that it has not yet become a fixed topic in the curriculum of most universities. On the other hand, it is obvious that discrete mathematics is rapidly growing in importance. The growing need for mathe maticians and computer scientists in industry will lead to an increase in courses offered in the area of discrete mathematics. One of the most suitable and fascinating is, indeed, coding theory. So, it is not surprising that one more book on this subject now appears. However, a little more justification of the book are necessary. A few years ago it was and a little more history remarked at a meeting on coding theory that there was no book available an introductory course on coding theory (mainly which could be used for for mathematicians but also for students in engineering or computer science). The best known textbooks were either too old, too big, too technical, too much for specialists, etc. The final remark was that my Springer Lecture Notes (# 201) were slightly obsolete and out of print. Without realizing what I was getting into I announced that the statement was not true and proved this by showing several participants the book Inleiding in de Coderingstheorie, a little book based on the syllabus of a course given at the Mathematical Centre in Amsterdam in 1975 (M. C. Syllabus 31).
| Author | : Todd K. Moon |
| Publisher | : John Wiley & Sons |
| Total Pages | : 800 |
| Release | : 2005-06-06 |
| Genre | : Computers |
| ISBN | : 0471648000 |
An unparalleled learning tool and guide to error correction coding Error correction coding techniques allow the detection and correction of errors occurring during the transmission of data in digital communication systems. These techniques are nearly universally employed in modern communication systems, and are thus an important component of the modern information economy. Error Correction Coding: Mathematical Methods and Algorithms provides a comprehensive introduction to both the theoretical and practical aspects of error correction coding, with a presentation suitable for a wide variety of audiences, including graduate students in electrical engineering, mathematics, or computer science. The pedagogy is arranged so that the mathematical concepts are presented incrementally, followed immediately by applications to coding. A large number of exercises expand and deepen students' understanding. A unique feature of the book is a set of programming laboratories, supplemented with over 250 programs and functions on an associated Web site, which provides hands-on experience and a better understanding of the material. These laboratories lead students through the implementation and evaluation of Hamming codes, CRC codes, BCH and R-S codes, convolutional codes, turbo codes, and LDPC codes. This text offers both "classical" coding theory-such as Hamming, BCH, Reed-Solomon, Reed-Muller, and convolutional codes-as well as modern codes and decoding methods, including turbo codes, LDPC codes, repeat-accumulate codes, space time codes, factor graphs, soft-decision decoding, Guruswami-Sudan decoding, EXIT charts, and iterative decoding. Theoretical complements on performance and bounds are presented. Coding is also put into its communications and information theoretic context and connections are drawn to public key cryptosystems. Ideal as a classroom resource and a professional reference, this thorough guide will benefit electrical and computer engineers, mathematicians, students, researchers, and scientists.
| Author | : William Ryan |
| Publisher | : Cambridge University Press |
| Total Pages | : 709 |
| Release | : 2009-09-17 |
| Genre | : Technology & Engineering |
| ISBN | : 1139483013 |
Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.
| Author | : Allan Paivio |
| Publisher | : Psychology Press |
| Total Pages | : 538 |
| Release | : 2014-01-14 |
| Genre | : Psychology |
| ISBN | : 1317716906 |
This book updates the Dual Coding Theory of mind (DCT), a theory of modern human cognition consisting of separate but interconnected nonverbal and verbal systems. Allan Paivio, a leading scholar in cognitive psychology, presents this masterwork as new findings in psychological research on memory, thought, language, and other core areas have flourished, as have pioneering developments in the cognitive neurosciences. Mind and Its Evolution provides a thorough exploration into how these adaptive nonverbal and verbal systems might have evolved, as well as a careful comparison of DCT with contrasting "single-code" cognitive theories. Divided into four parts, this text begins with a general, systematic theory of modern human cognition as the reference model for interpreting the cognitive abilities of evolutionary ancestors. The first half of the book discusses mind as it is; the second half addresses how it came to be that way. Each half is subdivided into two parts defined by thematic chapters. Mind and Its Evolution concludes with evidence-based suggestions about nourishing mental growth through applications of DCT in education, psychotherapy, and health. This volume will appeal to cognitive and evolutionary psychologists, as well as students in the areas of memory, language, cognition, and mind evolution specialists in psychology, philosophy, and other disciplines.
