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Author: William Ryan
Publisher: Cambridge University Press
ISBN: 1139483013
Category : Technology & Engineering
Languages : en
Pages : 709
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Book Description
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: William Ryan
Publisher: Cambridge University Press
ISBN: 1139483013
Category : Technology & Engineering
Languages : en
Pages : 709
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Book Description
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: Orhan Gazi
Publisher: Springer
ISBN: 9811307377
Category : Technology & Engineering
Languages : en
Pages : 170
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Book Description
This book explains the philosophy of the polar encoding and decoding technique. Polar codes are one of the most recently discovered capacity-achieving channel codes. What sets them apart from other channel codes is the fact that polar codes are designed mathematically and their performance is mathematically proven. The book develops related fundamental concepts from information theory, such as entropy, mutual information, and channel capacity. It then explains the successive cancellation decoding logic and provides the necessary formulas, moving on to demonstrate the successive cancellation decoding operation with a tree structure. It also demonstrates the calculation of split channel capacities when polar codes are employed for binary erasure channels, and explains the mathematical formulation of successive cancellation decoding for polar codes. In closing, the book presents and proves the channel polarization theorem, before mathematically analyzing the performance of polar codes.
Author: Bi Dongsheng
Publisher: Springer Nature
ISBN: 3031016750
Category : Technology & Engineering
Languages : en
Pages : 69
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Book Description
Based on the encoding process, arithmetic codes can be viewed as tree codes and current proposals for decoding arithmetic codes with forbidden symbols belong to sequential decoding algorithms and their variants. In this monograph, we propose a new way of looking at arithmetic codes with forbidden symbols. If a limit is imposed on the maximum value of a key parameter in the encoder, this modified arithmetic encoder can also be modeled as a finite state machine and the code generated can be treated as a variable-length trellis code. The number of states used can be reduced and techniques used for decoding convolutional codes, such as the list Viterbi decoding algorithm, can be applied directly on the trellis. The finite state machine interpretation can be easily migrated to Markov source case. We can encode Markov sources without considering the conditional probabilities, while using the list Viterbi decoding algorithm which utilizes the conditional probabilities. We can also use context-based arithmetic coding to exploit the conditional probabilities of the Markov source and apply a finite state machine interpretation to this problem. The finite state machine interpretation also allows us to more systematically understand arithmetic codes with forbidden symbols. It allows us to find the partial distance spectrum of arithmetic codes with forbidden symbols. We also propose arithmetic codes with memories which use high memory but low implementation precision arithmetic codes. The low implementation precision results in a state machine with less complexity. The introduced input memories allow us to switch the probability functions used for arithmetic coding. Combining these two methods give us a huge parameter space of the arithmetic codes with forbidden symbols. Hence we can choose codes with better distance properties while maintaining the encoding efficiency and decoding complexity. A construction and search method is proposed and simulation results show that we can achieve a similar performance as turbo codes when we apply this approach to rate 2/3 arithmetic codes. Table of Contents: Introduction / Arithmetic Codes / Arithmetic Codes with Forbidden Symbols / Distance Property and Code Construction / Conclusion
Author: Chuck Missler
Publisher: Koinonia House
ISBN: 1578210720
Category : Religion
Languages : en
Pages : 536
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Book Description
Author: K. Deergha Rao
Publisher: Springer Nature
ISBN: 9811505616
Category : Mathematics
Languages : en
Pages : 484
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Book Description
This book discusses the latest channel coding techniques, MIMO systems, and 5G channel coding evolution. It provides a comprehensive overview of channel coding, covering modern techniques such as turbo codes, low-density parity-check (LDPC) codes, space–time coding, polar codes, LT codes, and Raptor codes as well as the traditional codes such as cyclic codes, BCH, RS codes, and convolutional codes. It also explores MIMO communications, which is an effective method for high-speed or high-reliability wireless communications. It also examines the evolution of 5G channel coding techniques. Each of the 13 chapters features numerous illustrative examples for easy understanding of the coding techniques, and MATLAB-based programs are integrated in the text to enhance readers’ grasp of the underlying theories. Further, PC-based MATLAB m-files for illustrative examples are included for students and researchers involved in advanced and current concepts of coding theory.
Author: Charles Yaacoub
Publisher:
ISBN: 9781536131147
Category : Turbo codes (Telecommunication)
Languages : en
Pages : 0
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Book Description
This book presents the journey of Turbo-Codes from their first invention and initial design as error correcting codes to their application as video compression tools. This journey is presented in three milestones. First, Turbo-Codes are introduced as a channel coding tool. Different encoding structures and decoding algorithms are discussed from theoretical and practical aspects, for binary and non-binary Turbo-Codes. Slepian-Wolf and Wyner-Ziv theorems are then discussed, as they constitute the main theory behind distributed source coding (DSC). Turbo-Codes are then presented as a practical tool for distributed source compression. The study of Turbo-Codes application in DSC is also extended to the case of joint source-channel coding (JSCC), where these codes are jointly used for both source compression and error correction. Theoretical models for DSC and JSCC are thoroughly discussed along with the necessary modifications to the initial turbo encoder-decoder system. Different simulation setups are considered and results are presented and analyzed. Finally, Turbo-Code-based distributed video coding (DVC) techniques are discussed. The motivation behind DVC is first presented, followed by a general description of the DVC system model. Different techniques used to generate the side information needed for practical DVC systems are then discussed. Theoretical compression bounds are derived for both error-free and erroneous transmissions. Applications of DVC in the context of single user and multiuser setups are finally presented with different simulation scenarios and performance analysis.
Author: Claude Berrou
Publisher: Springer Science & Business Media
ISBN: 2817800397
Category : Computers
Languages : en
Pages : 400
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Book Description
This book is devoted to one of the essential functions of modern telecommunications systems: channel coding or error correction coding. Its main topic is iteratively decoded algebraic codes, convolutional codes and concatenated codes.
Author: Robert M. Gray
Publisher: Springer Science & Business Media
ISBN: 1441979700
Category : Technology & Engineering
Languages : en
Pages : 409
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Book Description
This book is an updated version of the information theory classic, first published in 1990. About one-third of the book is devoted to Shannon source and channel coding theorems; the remainder addresses sources, channels, and codes and on information and distortion measures and their properties. New in this edition: Expanded treatment of stationary or sliding-block codes and their relations to traditional block codes Expanded discussion of results from ergodic theory relevant to information theory Expanded treatment of B-processes -- processes formed by stationary coding memoryless sources New material on trading off information and distortion, including the Marton inequality New material on the properties of optimal and asymptotically optimal source codes New material on the relationships of source coding and rate-constrained simulation or modeling of random processes Significant material not covered in other information theory texts includes stationary/sliding-block codes, a geometric view of information theory provided by process distance measures, and general Shannon coding theorems for asymptotic mean stationary sources, which may be neither ergodic nor stationary, and d-bar continuous channels.
Author: Serdar Boztas
Publisher: Springer
ISBN: 3540772243
Category : Computers
Languages : en
Pages : 368
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Book Description
This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.
Author: Yu Liao
Publisher:
ISBN:
Category :
Languages : en
Pages : 270
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Book Description
