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Author: Bahram Honary Publisher: Springer Science & Business Media ISBN: 1461562791 Category : Technology & Engineering Languages : en Pages : 277
Book Description
It is a great pleasure to be asked to write the Preface for this book on trellis decoding of error correcting block codes. The subject is extremely significant both theoretically and practically, and is very timely because of recent devel opments in the microelectronic implementation and range of application of error-control coding systems based on block codes. The authors have been notably active in signal processing and coding research and development for several years, and therefore very well placed to contribute to the state of the art on the subject of trellis decoding. In particular, the book represents a unique approach to many practical aspects of the topic. As the authors point out, there are two main classes of error control codes: block codes and convolutinal codes. Block codes came first historically and have a well-developed mathematical structure. Convolutional codes come later, and have developed heuristically, though a more formal treatment has emerged via recent developments in the theory of symbolic dynamics. Max imum likelihood (ML) decoding of powerful codes in both these classes is computationally complex in the general case; that is, ML decoding fails into the class of NP-hard computational problems. This arieses because the de coding complexity is an exponential function of key parameters of the code.
Author: Bahram Honary Publisher: Springer Science & Business Media ISBN: 1461562791 Category : Technology & Engineering Languages : en Pages : 277
Book Description
It is a great pleasure to be asked to write the Preface for this book on trellis decoding of error correcting block codes. The subject is extremely significant both theoretically and practically, and is very timely because of recent devel opments in the microelectronic implementation and range of application of error-control coding systems based on block codes. The authors have been notably active in signal processing and coding research and development for several years, and therefore very well placed to contribute to the state of the art on the subject of trellis decoding. In particular, the book represents a unique approach to many practical aspects of the topic. As the authors point out, there are two main classes of error control codes: block codes and convolutinal codes. Block codes came first historically and have a well-developed mathematical structure. Convolutional codes come later, and have developed heuristically, though a more formal treatment has emerged via recent developments in the theory of symbolic dynamics. Max imum likelihood (ML) decoding of powerful codes in both these classes is computationally complex in the general case; that is, ML decoding fails into the class of NP-hard computational problems. This arieses because the de coding complexity is an exponential function of key parameters of the code.
Author: Martin Tomlinson Publisher: Springer ISBN: 3319511033 Category : Technology & Engineering Languages : en Pages : 527
Book Description
This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.
Author: Aliazam Abbasfar Publisher: Springer Science & Business Media ISBN: 1402063911 Category : Technology & Engineering Languages : en Pages : 94
Book Description
This book introduces turbo error correcting concept in a simple language, including a general theory and the algorithms for decoding turbo-like code. It presents a unified framework for the design and analysis of turbo codes and LDPC codes and their decoding algorithms. A major focus is on high speed turbo decoding, which targets applications with data rates of several hundred million bits per second (Mbps).
Author: Alex Toth Publisher: Irwin Professional Publishing ISBN: 9780786312467 Category : Classification Languages : en Pages : 0
Book Description
Written by healthcare consultant Alex Toth, Decoding the Codes is the only manual to encompass a thorough explanation of the content, format and utility of all of the coding systems for all clinical specialties, including acute and long-term care. Decoding the Codes also gives pedagogical examples and learning exercises. Actual clinical documentation, objectives, and exercises allows the medical records and patient account directors to retain key concepts needed to understand the coding system. Decoding the Codes will help you take the mystery out of the coding system by giving you an explanation of each alpha and numeric code; a clearer picture on how each code effects reimbursement; and a perfect compendium to ICD, CPT and HCPCS coding books. Whether you are a nurse, physician or coding specialist, knowing every number, letter and decimal point of over 36,000 codes seems impossible. Decoding the Codes will give you an edge in understanding the codes so you can receive full reimbursement.
Author: Venkatesan Guruswami Publisher: Springer ISBN: 3540301801 Category : Computers Languages : en Pages : 354
Book Description
How can one exchange information e?ectively when the medium of com- nication introduces errors? This question has been investigated extensively starting with the seminal works of Shannon (1948) and Hamming (1950), and has led to the rich theory of “error-correcting codes”. This theory has traditionally gone hand in hand with the algorithmic theory of “decoding” that tackles the problem of recovering from the errors e?ciently. This thesis presents some spectacular new results in the area of decoding algorithms for error-correctingcodes. Speci?cally,itshowshowthenotionof“list-decoding” can be applied to recover from far more errors, for a wide variety of err- correcting codes, than achievable before. A brief bit of background: error-correcting codes are combinatorial str- tures that show how to represent (or “encode”) information so that it is - silient to a moderate number of errors. Speci?cally, an error-correcting code takes a short binary string, called the message, and shows how to transform it into a longer binary string, called the codeword, so that if a small number of bits of the codewordare ?ipped, the resulting string does not look like any other codeword. The maximum number of errorsthat the code is guaranteed to detect, denoted d, is a central parameter in its design. A basic property of such a code is that if the number of errors that occur is known to be smaller than d/2, the message is determined uniquely. This poses a computational problem,calledthedecodingproblem:computethemessagefromacorrupted codeword, when the number of errors is less than d/2.
Author: Alex J. Toth Publisher: ISBN: Category : Medicine Languages : en Pages : 0
Book Description
Decoding the Codes will help you take the mystery out of the coding system by giving you an explanation of each alpha and numeric code; a clearer picture on how each code effects reimbursement; and a perfect compendium to ICD, CPT and HCPCS coding books. Whether you are a nurse, physician or coding specialist, knowing every number, letter and decimal point of over 36,000 codes seems impossible. Decoding the Codes will give you an edge in understanding the codes so you can receive full reimbursement.
Author: Venkatesan Guruswami Publisher: Springer Science & Business Media ISBN: 3540240519 Category : Computers Languages : en Pages : 354
Book Description
This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.
Author: Claude Berrou Publisher: Springer Science & Business Media ISBN: 2817800397 Category : Computers Languages : en Pages : 400
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: Arjeh M. Cohen Publisher: Springer Science & Business Media ISBN: 9783540634805 Category : Computers Languages : en Pages : 374
Book Description
This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.
Author: Stephen B. Wicker Publisher: Springer Science & Business Media ISBN: 1402072643 Category : Technology & Engineering Languages : en Pages : 241
Book Description
Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.
Author: Bahram Honary
Author: Bahram Honary
Author: Martin Tomlinson
Author: Aliazam Abbasfar
Author: Alex Toth
Author: Venkatesan Guruswami
Author: Alex J. Toth
Author: Venkatesan Guruswami
Author: Claude Berrou
Author: Arjeh M. Cohen
Author: Stephen B. Wicker