A Hardware Analysis of the Fundamental Iterative Algorithm for Decoding a (17, 9) Binary BCH Code PDF Download

Author: Roy Lee Campbell
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 0

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Author: Roy Lee Campbell
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 39

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Author: Roy L. Campbell (Sr.)
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 0

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Publisher:
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Category :
Languages : en
Pages : 49

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The Berlekamp-Massey Algorithm (BMA) is commonly used in BCH decoding, but the Fundamental Iterative Algorithm (FIA) can, in many instances, correct more errors. The trade off lies in hardware complexity. The BMA has concise stages that do not require addressable memory, whereas the FIA struggles with memory management and complex stages. For the (17,9) BCH code over GF(256) with g(x)=m1(x), the FIA can correct up to two errors, but the BMA can correct only one error. Also, for a BER of 10( -5), the coding gains for the BMA and FIA are -.25dB and 1.4dB, respectively, which makes the FIA seem to be the better algorithm. The main drawback is the FIA is approximately 20 times more complex than the BMA. Also, the FIA does not have a critical path that is easily identified.

Author: Ron Roth
Publisher: Cambridge University Press
ISBN: 9780521845045
Category : Computers
Languages : en
Pages : 592

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This 2006 book introduces the theoretical foundations of error-correcting codes for senior-undergraduate to graduate students.

Author: William Ryan
Publisher: Cambridge University Press
ISBN: 1139483013
Category : Technology & Engineering
Languages : en
Pages : 709

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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: David J. C. MacKay
Publisher: Cambridge University Press
ISBN: 9780521642989
Category : Computers
Languages : en
Pages : 694

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Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book introduces theory in tandem with applications. Information theory is taught alongside practical communication systems such as arithmetic coding for data compression and sparse-graph codes for error-correction. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art error-correcting codes, including low-density-parity-check codes, turbo codes, and digital fountain codes - the twenty-first-century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.

Author: Lajos Hanzo
Publisher: John Wiley & Sons
ISBN: 0470978333
Category : Technology & Engineering
Languages : en
Pages : 839

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Covering the full range of channel codes from the most conventional through to the most advanced, the second edition of Turbo Coding, Turbo Equalisation and Space-Time Coding is a self-contained reference on channel coding for wireless channels. The book commences with a historical perspective on the topic, which leads to two basic component codes, convolutional and block codes. It then moves on to turbo codes which exploit iterative decoding by using algorithms, such as the Maximum-A-Posteriori (MAP), Log-MAP and Soft Output Viterbi Algorithm (SOVA), comparing their performance. It also compares Trellis Coded Modulation (TCM), Turbo Trellis Coded Modulation (TTCM), Bit-Interleaved Coded Modulation (BICM) and Iterative BICM (BICM-ID) under various channel conditions. The horizon of the content is then extended to incorporate topics which have found their way into diverse standard systems. These include space-time block and trellis codes, as well as other Multiple-Input Multiple-Output (MIMO) schemes and near-instantaneously Adaptive Quadrature Amplitude Modulation (AQAM). The book also elaborates on turbo equalisation by providing a detailed portrayal of recent advances in partial response modulation schemes using diverse channel codes. A radically new aspect for this second edition is the discussion of multi-level coding and sphere-packing schemes, Extrinsic Information Transfer (EXIT) charts, as well as an introduction to the family of Generalized Low Density Parity Check codes. This new edition includes recent advances in near-capacity turbo-transceivers as well as new sections on multi-level coding schemes and of Generalized Low Density Parity Check codes Comparatively studies diverse channel coded and turbo detected systems to give all-inclusive information for researchers, engineers and students Details EXIT-chart based irregular transceiver designs Uses rich performance comparisons as well as diverse near-capacity design examples

Author: Bogdan Belean
Publisher: Springer
ISBN: 3319650254
Category : Technology & Engineering
Languages : en
Pages : 191

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This book guides readers through the design of hardware architectures using VHDL for digital communication and image processing applications that require performance computing. Further it includes the description of all the VHDL-related notions, such as language, levels of abstraction, combinational vs. sequential logic, structural and behavioral description, digital circuit design, and finite state machines. It also includes numerous examples to make the concepts presented in text more easily understandable.

Author: Andre Neubauer
Publisher: John Wiley & Sons
ISBN: 9780470519820
Category : Technology & Engineering
Languages : en
Pages : 362

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Book Description
One of the most important key technologies for digital communication systems as well as storage media is coding theory. It provides a means to transmit information across time and space over noisy and unreliable communication channels. Coding Theory: Algorithms, Architectures and Applications provides a concise overview of channel coding theory and practice, as well as the accompanying signal processing architectures. The book is unique in presenting algorithms, architectures, and applications of coding theory in a unified framework. It covers the basics of coding theory before moving on to discuss algebraic linear block and cyclic codes, turbo codes and low density parity check codes and space-time codes. Coding Theory provides algorithms and architectures used for implementing coding and decoding strategies as well as coding schemes used in practice especially in communication systems. Feature of the book include: Unique presentation-like style for summarising main aspects Practical issues for implementation of coding techniques Sound theoretical approach to practical, relevant coding methodologies Covers standard coding schemes such as block and convolutional codes, coding schemes such as Turbo and LDPC codes, and space time codes currently in research, all covered in a common framework with respect to their applications. This book is ideal for postgraduate and undergraduate students of communication and information engineering, as well as computer science students. It will also be of use to engineers working in the industry who want to know more about the theoretical basics of coding theory and their application in currently relevant communication systems