Modern Coding Theory
Title | Modern Coding Theory PDF eBook |
Author | Tom Richardson |
Publisher | Cambridge University Press |
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.
Coding Theory
Title | Coding Theory PDF eBook |
Author | San Ling |
Publisher | Cambridge University Press |
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.
Modern Coding Theory
Title | Modern Coding Theory PDF eBook |
Author | Tom Richardson |
Publisher | Cambridge University Press |
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.
Introduction to Coding Theory
Title | Introduction to Coding Theory PDF eBook |
Author | Ron Roth |
Publisher | Cambridge University Press |
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.
Mind and Its Evolution
Title | Mind and Its Evolution PDF eBook |
Author | Allan Paivio |
Publisher | Psychology Press |
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.
Concise Encyclopedia of Coding Theory
Title | Concise Encyclopedia of Coding Theory PDF eBook |
Author | W. Cary Huffman |
Publisher | CRC Press |
Pages | 998 |
Release | 2021-03-26 |
Genre | Computers |
ISBN | 1351375105 |
Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research
Channel Codes
Title | Channel Codes PDF eBook |
Author | William Ryan |
Publisher | Cambridge University Press |
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.