Channel Codes

Although C can be represented in several different units, in the context of the channel code rate R, which has the units information bits per channel bit, Shannon showed that codes exist that provide arbitrarily reliable communication ...

Author: William Ryan

Publisher: Cambridge University Press

ISBN: 9781139483018

Category: Technology & Engineering


View: 618


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.

Joint Source Channel Coding Using Arithmetic Codes

In [90], Sayood, Otu and Demir classified the approaches of joint source and channel coding into four categories. We will use the same taxonomic approach. The first class of schemes is denoted as joint source channel coder where the ...

Author: Dongsheng Bi

Publisher: Morgan & Claypool Publishers

ISBN: 9781608451487

Category: Computers

Page: 69

View: 350


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

Forward Error Correction via Channel Coding

The use of channel codes in communication engineering is a must issue. Without the use of channel codes, it is not possible to design energy-efficient communication systems. In this book, preliminary information is provided about the ...

Author: Orhan Gazi

Publisher: Springer Nature

ISBN: 9783030333805

Category: Technology & Engineering

Page: 319

View: 585


This book provides a comprehensive explanation of forward error correction, which is a vital part of communication systems. The book is written in such a way to make the subject easy and understandable for the reader. The book starts with a review of linear algebra to provide a basis for the text. The author then goes on to cover linear block codes, syndrome error correction, cyclic codes, Galois fields, BCH codes, Reed Solomon codes, and convolutional codes. Examples are provided throughout the text.

Channel Coding Techniques for Wireless Communications

The LT codes are the first universal erasure-correcting codes that provide successful communication over a binary erasure channel (BEC) for any erasure probability. The LT codes have various types of applications and advantages.

Author: K. Deergha Rao

Publisher: Springer Nature

ISBN: 9789811505614

Category: Mathematics

Page: 476

View: 846


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.

Channel Coding in Communication Networks

to first resolve the problem of decoding, risking the properties of the codes to remain unexploited; it is, ... Research in channel coding in the simplest cases (binary symmetric channel and channel with additive white Gaussian noise ...

Author: Alain Glavieux

Publisher: John Wiley & Sons

ISBN: 9781118613634

Category: Technology & Engineering

Page: 418

View: 893


This book provides a comprehensive overview of the subject ofchannel coding. It starts with a description of information theory,focusing on the quantitative measurement of information andintroducing two fundamental theorems on source and channel coding.The basics of channel coding in two chapters, block codes andconvolutional codes, are then discussed, and for these the authorsintroduce weighted input and output decoding algorithms andrecursive systematic convolutional codes, which are used in therest of the book. Trellis coded modulations, which have their primary applicationsin high spectral efficiency transmissions, are then covered, beforethe discussion moves on to an advanced coding technique calledturbocoding. These codes, invented in the 1990s by C. Berrou and A.Glavieux, show exceptional performance. The differences betweenconvolutional turbocodes and block turbocodes are outlined, and foreach family, the authors present the coding and decodingtechniques, together with their performances. The book concludeswith a chapter on the implementation of turbocodes in circuits. As such, anyone involved in the areas of channel coding anderror correcting coding will find this book to be of invaluableassistance.

Channel Coding Theory Algorithms and Applications

If the a-priori channel is a BEC, the area theorem relates the area between the two EXIT functions to the gap between the overall code rate and the capacity of the communication channel. For LDPC codes this has been explained in Section ...


Publisher: Academic Press

ISBN: 9780123972231

Category: Technology & Engineering

Page: 690

View: 901


This book gives a review of the principles, methods and techniques of important and emerging research topics and technologies in Channel Coding, including theory, algorithms, and applications. Edited by leading people in the field who, through their reputation, have been able to commission experts to write on a particular topic. With this reference source you will: Quickly grasp a new area of research Understand the underlying principles of a topic and its applications Ascertain how a topic relates to other areas and learn of the research issues yet to be resolved Quick tutorial reviews of important and emerging topics of research in Channel Coding Presents core principles in Channel Coding theory and shows their applications Reference content on core principles, technologies, algorithms and applications Comprehensive references to journal articles and other literature on which to build further, more specific and detailed knowledge

Source and Channel Coding

The binary code represents which of a set of analog levels lies closest to the sample. ... Here are some older definitions of channel coding and modulation, adapted from [1-11]. These will help us place in perspective some of the newer ...

Author: John B. Anderson

Publisher: Springer Science & Business Media

ISBN: 9781461539988

Category: Technology & Engineering

Page: 433

View: 468


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.

Radio Frequency Channel Coding Made Easy

ISBN 3-540-54894-7 Mac Williams FJ, Sloane NJA (1977) The theory of error-correcting codes. North-Holland, Amsterdam, p 35. ... Wiley, New York Kohlenbero A, Forney GD Jr (1968) Convolutional coding for channels with memory.

Author: Saleh Faruque

Publisher: Springer

ISBN: 9783319211701

Category: Technology & Engineering

Page: 127

View: 457


This book introduces Radio Frequency Channel Coding to a broad audience. The author blends theory and practice to bring readers up-to-date in key concepts, underlying principles and practical applications of wireless communications. The presentation is designed to be easily accessible, minimizing mathematics and maximizing visuals.

Channel Coding in the Presence of Side Information

distortion between the channel input and the host signal. ... A fundamental ingredient in the solutions of the channel coding problems presented in this survey, and the dual source coding problems (e.g., the Slepian–Wolf and the ...

Author: Guy Keshet

Publisher: Now Publishers Inc

ISBN: 9781601980489

Category: Computers

Page: 144

View: 262


Channel Coding in the Presence of Side Information reviews the concepts and methods of communication systems equipped with side information both from the theoretical and practical points of view. It is a comprehensive review that gives the reader an insightful introduction to one of the most important topics in modern communications systems.

Channel Coding Theory

Channel Capacity 29 word length should be used 0'") It is an interesting feature that for wide classes of communication channels the " A. -capacity" C (A) does not depend on A. (0<)~< 1) . In this case one may assert that C is the least ...

Author: I. Csiszar

Publisher: Springer

ISBN: 9783709127247

Category: Technology & Engineering

Page: 77

View: 157


Channel and Source Coding for Non Volatile Flash Memories

The BCH codes are nested linear codes. Let B1 and B2 be two nested codes where nested means that B2 is a subset of B1. In order to clarify the nested property of the linear code, we consider the following example. Definition 11.

Author: Mohammed Rajab

Publisher: Springer Nature

ISBN: 9783658289829

Category: Computers

Page: 143

View: 448


Mohammed Rajab proposes different technologies like the error correction coding (ECC), sources coding and offset calibration that aim to improve the reliability of the NAND flash memory with low implementation costs for industrial application. The author examines different ECC schemes based on concatenated codes like generalized concatenated codes (GCC) which are applicable for NAND flash memories by using the hard and soft input decoding. Furthermore, different data compression schemes are examined in order to reduce the write amplification effect and also to improve the error correct capability of the ECC by combining both schemes.

Joint Source Channel Video Transmission

To maximize the error control efficiency, limited network resources should be optimally allocated to video packets, which typically requires joint consideration of source and channel coding. 1.3 JOINT SOURCE-CHANNEL CODING/(CROSS-LAYER ...

Author: Fan Zhai

Publisher: Morgan & Claypool Publishers

ISBN: 9781598290448

Category: Computers

Page: 136

View: 173


This book deals with the problem of joint source-channel video transmission, i.e., the joint optimal allocation of resources at the application layer and the other network layers, such as data rate adaptation, channel coding, power adaptation in wireless networks, quality of service (QoS) support from the network, and packet scheduling, for efficient video transmission. Real-time video communication applications, such as videoconferencing, video telephony, and on-demand video streaming, have gained increased popularity. However, a key problem in video transmission over the existing Internet and wireless networks is the incompatibility between the nature of the network conditions and the QoS requirements (in terms, for example, of bandwidth, delay, and packet loss) of real-time video applications. To deal with this incompatibility, a natural approach is to adapt the end-system to the network. The joint source-channel coding approach aims to efficiently perform content-aware cross-layer resource allocation, thus increasing the communication efficiency of multiple network layers. Our purpose in this book is to review the basic elements of the state-of-the-art approaches toward joint source-channel video transmission for wired and wireless systems.In this book, we present a general resource-distortion optimization framework, which is used throughout the book to guide our discussions on various techniques of joint source-channel video transmission. In this framework, network resources from multiple layers are assigned to each video packet according to its level of importance. It provides not only an optimization benchmark against which the performance of other sub-optimal systems can be evaluated, but also a useful tool for assessing the effectiveness of different error control components in practical system design. This book is therefore written to be accessible to researchers, expert industrial R engineers, and university students who are interested in the cutting edge technologies in joint source-channel video transmission.Contents: Introduction / Elements of a Video Communication System / Joint Source-Channel Coding / Error-Resilient Video Coding / Channel Modeling and Channel Coding / Internet Video Transmission / Wireless Video Transmission / Conclusions

Report on Magnetic Channel Coding

6.0 BIBLIOGRAPHY ( 1 ) Adler , R.L. , D. Coppersmith and M. Hassner , " Algorithms for Sliding Block Codes - An ... ( 6 ) Franaszek , P.A. , " A General Method for Channel Coding , " IBM Journal of Research and Development , Vol .

Author: Douglas M. Cunningham


ISBN: UCSD:31822015136252

Category: Magnetic recorders and recording


View: 955


Applied Algebra Algebraic Algorithms and Error Correcting Codes

Functions of conventional coding techniques FunctionMN codeMcEliece's PKCNiederreiter's PKC Source coding Yes No Yes Encryption No Yes Yes Channel coding Yes No No 3 System Model Recent communication and storage systems sometimes ...

Author: Serdar Boztas

Publisher: Springer

ISBN: 9783540772248

Category: Computers

Page: 368

View: 137


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.

Polar Codes

In closing, the book presents and proves the channel polarization theorem, before mathematically analyzing the performance of polar codes. This book explains the philosophy of the polar encoding and decoding technique.

Author: Orhan Gazi

Publisher: Springer

ISBN: 9789811307379

Category: Technology & Engineering

Page: 170

View: 656


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.

Channel Adaptive Technologies and Cross Layer Designs for Wireless Systems with Multiple Antennas

As a result of the random coding proof, we can see that good codes are actually very easy to find. ... Yet, the channel coding theorem offers a tight upper bound on the maximum achievable rate so that we know how far we are from the ...

Author: Vincent K.N. Lau

Publisher: John Wiley & Sons

ISBN: 9780471774051

Category: Technology & Engineering

Page: 472

View: 614


This innovative book sets forth two promising wireless approachesthat support high-quality, high-speed data and multimediaservice-multiple antenna technologies and cross layer transmitteradaptation designs-while highlighting the relationships andinteractions between them. The latest advanced technologies ofchannel adaptation techniques for wireless communication systemswith multiple antennas are thoroughly investigated. The book is divided into three parts, first giving readers a goodfoundation in underlying theory, then exploring applications aswell as advanced topics: * Part 1 examines theoretical aspects of channel adaptation inwireless communications for point-to-point and multi-user systemswith multiple antennas * Part 2 focuses on the applications of the channel-adaptivetechnologies in practical systems such as UMTS * Part 3 delves into topics such as multi-user scheduling forwideband systems, combined queuing theory and information theory,and ad hoc routing Using a hands-on, practical approach, Channel Adaptive Technologiesand Cross Layer Designs for Wireless Systems with Multiple Antennasthoroughly covers detailed design considerations that help readersunderstand how to apply theory to real-world systems. Emphasisthroughout the book is on joint optimization across differentlayers of a communications system based on an integrated approach.Examples of popular wireless systems, such as TDMA, wideband CDMA(UMTS), and HSDPA, are used throughout as practical illustrations.Each chapter ends with a summary that reviews key points and a setof problems that lets readers test their knowledge and continue todevelop their skills as they progress to new topics. Figures andtables are also used extensively to help readers visualize complextheory and systems. Combining theory, design, and application into one integratedapproach, this is a superior reference for advanced communicationstheory courses.

Efficient Receiver Methods for Coded Systems Under Channel Uncertainty

In order to minimize such overhead, one can exploit the redundancy introduced by channel codes (e.g. convolutional ... Indeed, the complete elimination of the pilot overhead exploiting solely the channel code redundancy is investigated ...

Author: André Fonseca dos Santos

Publisher: Jörg Vogt Verlag

ISBN: 9783938860335


Page: 123

View: 583