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Author: Anusha Nandagopal Publisher: ISBN: Category : Languages : en Pages : 252
Book Description
Error-control coding is a special subject with its own history and arithmetic systems. The theory and usage of error-control codes relate to the protection of digital information against errors that occur during data transmission and storage. Error correction coding attaches redundancy to the data at the system's error correction encoder and uses that redundancy to correct erroneous data at the error correction decoder.This thesis focuses on error correcting codes and the hardware implementation of two error-control codes - Reed-Solomon (RS) codes and Viterbi's algorithm. Prior to emphasizing on these two codes, a brief description of various other types of error correcting schemes is presented. A simple (15, 9) RS code and a (4, 1, 2) convolutional code are taken to elaborate the encoding and decoding processes for these error correcting codes. The primary objective of this thesis is to provide a simple and efficient hardware for reliably transmitting and receiving message bits across a communication channel.
Author: Anusha Nandagopal Publisher: ISBN: Category : Languages : en Pages : 252
Book Description
Error-control coding is a special subject with its own history and arithmetic systems. The theory and usage of error-control codes relate to the protection of digital information against errors that occur during data transmission and storage. Error correction coding attaches redundancy to the data at the system's error correction encoder and uses that redundancy to correct erroneous data at the error correction decoder.This thesis focuses on error correcting codes and the hardware implementation of two error-control codes - Reed-Solomon (RS) codes and Viterbi's algorithm. Prior to emphasizing on these two codes, a brief description of various other types of error correcting schemes is presented. A simple (15, 9) RS code and a (4, 1, 2) convolutional code are taken to elaborate the encoding and decoding processes for these error correcting codes. The primary objective of this thesis is to provide a simple and efficient hardware for reliably transmitting and receiving message bits across a communication channel.
Author: Cyrille Chavet Publisher: Springer ISBN: 3319105698 Category : Technology & Engineering Languages : en Pages : 197
Book Description
This book provides thorough coverage of error correcting techniques. It includes essential basic concepts and the latest advances on key topics in design, implementation, and optimization of hardware/software systems for error correction. The book’s chapters are written by internationally recognized experts in this field. Topics include evolution of error correction techniques, industrial user needs, architectures, and design approaches for the most advanced error correcting codes (Polar Codes, Non-Binary LDPC, Product Codes, etc). This book provides access to recent results, and is suitable for graduate students and researchers of mathematics, computer science, and engineering. • Examines how to optimize the architecture of hardware design for error correcting codes; • Presents error correction codes from theory to optimized architecture for the current and the next generation standards; • Provides coverage of industrial user needs advanced error correcting techniques. Advanced Hardware Design for Error Correcting Codes includes a foreword by Claude Berrou.
Author: Benjamin Arazi Publisher: MIT Press ISBN: 9780262010986 Category : Computers Languages : en Pages : 232
Book Description
Teaching the theory of error correcting codes on an introductory level is a difficulttask. The theory, which has immediate hardware applications, also concerns highly abstractmathematical concepts. This text explains the basic circuits in a refreshingly practical way thatwill appeal to undergraduate electrical engineering students as well as to engineers and techniciansworking in industry.Arazi's truly commonsense approach provides a solid grounding in the subject,explaining principles intuitively from a hardware perspective. He fully covers error correctiontechniques, from basic parity check and single error correction cyclic codes to burst errorcorrecting codes and convolutional codes. All this he presents before introducing Galois fieldtheory - the basic algebraic treatment and theoretical basis of the subject, which usually appearsin the opening chapters of standard textbooks. One entire chapter is devoted to specific practicalissues, such as Reed-Solomon codes (used in compact disc equipment), and maximum length sequences(used in various fields of communications). The basic circuits explained throughout the book areredrawn and analyzed from a theoretical point of view for readers who are interested in tackling themathematics at a more advanced level.Benjamin Arazi is an Associate Professor in the Department ofElectrical and Computer Engineering at the Ben-Gurion University of the Negev. His book is includedin the Computer Systems Series, edited by Herb Schwetman.
Author: Xinmiao Zhang Publisher: CRC Press ISBN: 148222965X Category : Technology & Engineering Languages : en Pages : 410
Book Description
Error-correcting codes are ubiquitous. They are adopted in almost every modern digital communication and storage system, such as wireless communications, optical communications, Flash memories, computer hard drives, sensor networks, and deep-space probing. New-generation and emerging applications demand codes with better error-correcting capability. On the other hand, the design and implementation of those high-gain error-correcting codes pose many challenges. They usually involve complex mathematical computations, and mapping them directly to hardware often leads to very high complexity. VLSI Architectures for Modern Error-Correcting Codes serves as a bridge connecting advancements in coding theory to practical hardware implementations. Instead of focusing on circuit-level design techniques, the book highlights integrated algorithmic and architectural transformations that lead to great improvements on throughput, silicon area requirement, and/or power consumption in the hardware implementation. The goal of this book is to provide a comprehensive and systematic review of available techniques and architectures, so that they can be easily followed by system and hardware designers to develop en/decoder implementations that meet error-correcting performance and cost requirements. This book can be also used as a reference for graduate-level courses on VLSI design and error-correcting coding. Particular emphases are placed on hard- and soft-decision Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary and non-binary low-density parity-check (LDPC) codes. These codes are among the best candidates for modern and emerging applications due to their good error-correcting performance and lower implementation complexity compared to other codes. To help explain the computations and en/decoder architectures, many examples and case studies are included. More importantly, discussions are provided on the advantages and drawbacks of different implementation approaches and architectures.
Author: Smritha Venkatadri Publisher: ISBN: Category : Languages : en Pages : 220
Book Description
In this thesis work, the error correction scheme of Reed Solomon (RS), used in the form of an algorithm digital data communication application is considered. The hardware implementation of (15,9) Reed Solomon (RS) error correction in terms of encoder-decoder is developed. Also, RS encoding and RS decoding without erasing code symbols is emphasized. The work presents the simple concepts of groups and fields, specifically Galois Fields to explain the algorithm. Prior to presenting RS codes, other block codes are discussed as an introduction to coding. The (15,9) RS coding is then explained. Various methods and concepts of encoding and decoding are presented for the (15,9) RS coding. The hardware realization for the encoder and decoder is outlined including the detailed analytics, which form the basis for the layout. The hardware design is implemented using VHSIC Hardware Descriptive Language (VHDL) which facilitates the design process from the algorithmic form to the final chip level design. The ultimate objective of this thesis work is to provide an efficient hardware for sending message bits across the channel and also detecting and correcting multiple errors that occur during the transmission.
Author: Richard Howard Pashburg Publisher: ISBN: Category : Languages : en Pages : 196
Book Description
Most error-correcting coding systems now use special-purpose hardware machines. The alternate method, using a general-purpose computer to perform encoding and decoding, has several advantages over the use of special hardware. Hardware equipment designed specifically for a coding system can be expensive, especially if the decoding is difficult, and if only a few systems are to be built. Minicomputers, however, are easily available and can be used throughout communications systems. To compare various coding systems in software, programs to perform encoding and decoding were written in assembly language for a PDP-11/40 minicomputer. The results obtained for decoding ease clearly depend on the programming techniques used, which in turn depend on the computer available. The codes implemented are compared in terms of error-correcting ability, and effort involved in decoding. (Modified author abstract).
Author: Xinmiao Zhang Publisher: CRC Press ISBN: 1351831224 Category : Technology & Engineering Languages : en Pages : 387
Book Description
Error-correcting codes are ubiquitous. They are adopted in almost every modern digital communication and storage system, such as wireless communications, optical communications, Flash memories, computer hard drives, sensor networks, and deep-space probing. New-generation and emerging applications demand codes with better error-correcting capability. On the other hand, the design and implementation of those high-gain error-correcting codes pose many challenges. They usually involve complex mathematical computations, and mapping them directly to hardware often leads to very high complexity. VLSI Architectures for Modern Error-Correcting Codes serves as a bridge connecting advancements in coding theory to practical hardware implementations. Instead of focusing on circuit-level design techniques, the book highlights integrated algorithmic and architectural transformations that lead to great improvements on throughput, silicon area requirement, and/or power consumption in the hardware implementation. The goal of this book is to provide a comprehensive and systematic review of available techniques and architectures, so that they can be easily followed by system and hardware designers to develop en/decoder implementations that meet error-correcting performance and cost requirements. This book can be also used as a reference for graduate-level courses on VLSI design and error-correcting coding. Particular emphases are placed on hard- and soft-decision Reed-Solomon (RS) and Bose-Chaudhuri-Hocquenghem (BCH) codes, and binary and non-binary low-density parity-check (LDPC) codes. These codes are among the best candidates for modern and emerging applications due to their good error-correcting performance and lower implementation complexity compared to other codes. To help explain the computations and en/decoder architectures, many examples and case studies are included. More importantly, discussions are provided on the advantages and drawbacks of different implementation approaches and architectures.
Author: George C. Clark Jr. Publisher: Springer Science & Business Media ISBN: 1489921745 Category : Technology & Engineering Languages : en Pages : 432
Book Description
Error-correction coding is being used on an almost routine basis in most new communication systems. Not only is coding equipment being used to increase the energy efficiency of communication links, but coding ideas are also providing innovative solutions to many related communication problems. Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase. Although several books and nu merous articles have been written on coding theory, there are still noticeable deficiencies. First, the practical aspects of translating a specific decoding algorithm into actual hardware have been largely ignored. The information that is available is sketchy and is widely dispersed. Second, the information required to evaluate a particular technique under situations that are en countered in practice is available for the most part only in private company reports. This book is aimed at correcting both of these problems. It is written for the design engineer who must build the coding and decoding equipment and for the communication system engineer who must incorporate this equipment into a system. It is also suitable as a senior-level or first-year graduate text for an introductory one-semester course in coding theory. The book U"Ses a minimum of mathematics and entirely avoids the classical theorem/proof approach that is often seen in coding texts.
Author: Rino Micheloni Publisher: Springer Science & Business Media ISBN: 1402083912 Category : Technology & Engineering Languages : en Pages : 338
Book Description
Nowadays it is hard to find an electronic device which does not use codes: for example, we listen to music via heavily encoded audio CD's and we watch movies via encoded DVD's. There is at least one area where the use of encoding/decoding is not so developed, yet: Flash non-volatile memories. Flash memory high-density, low power, cost effectiveness, and scalable design make it an ideal choice to fuel the explosion of multimedia products, like USB keys, MP3 players, digital cameras and solid-state disk. In ECC for Non-Volatile Memories the authors expose the basics of coding theory needed to understand the application to memories, as well as the relevant design topics, with reference to both NOR and NAND Flash architectures. A collection of software routines is also included for better understanding. The authors form a research group (now at Qimonda) which is the typical example of a fruitful collaboration between mathematicians and engineers.
Author: Anusha Nandagopal
Author: Anusha Nandagopal
Author: Cyrille Chavet
Author: Benjamin Arazi
Author: Xinmiao Zhang
Author: Smritha Venkatadri
Author: Richard Howard Pashburg
Author: Neal Glover
Author: Xinmiao Zhang
Author: George C. Clark Jr.
Author: Rino Micheloni