Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; a Recursive Maximum Likelihood Decoding

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722916572
Total Pages : 30 pages
Book Rating : 4.9/5 (165 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; a Recursive Maximum Likelihood Decoding by : National Aeronautics and Space Administration (NASA)

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; a Recursive Maximum Likelihood Decoding written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-15 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Viterbi algorithm is indeed a very simple and efficient method of implementing the maximum likelihood decoding. However, if we take advantage of the structural properties in a trellis section, other efficient trellis-based decoding algorithms can be devised. Recently, an efficient trellis-based recursive maximum likelihood decoding (RMLD) algorithm for linear block codes has been proposed. This algorithm is more efficient than the conventional Viterbi algorithm in both computation and hardware requirements. Most importantly, the implementation of this algorithm does not require the construction of the entire code trellis, only some special one-section trellises of relatively small state and branch complexities are needed for constructing path (or branch) metric tables recursively. At the end, there is only one table which contains only the most likely code-word and its metric for a given received sequence r = (r(sub 1), r(sub 2), ..., r(sub n)). This algorithm basically uses the divide and conquer strategy. Furthermore, it allows parallel/pipeline processing of received sequences to speed up decoding. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938.

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461557453
Total Pages : 290 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes by : Shu Lin

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes written by Shu Lin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the demand for data reliability increases, coding for error control becomes increasingly important in data transmission systems and has become an integral part of almost all data communication system designs. In recent years, various trellis-based soft-decoding algorithms for linear block codes have been devised. New ideas developed in the study of trellis structure of block codes can be used for improving decoding and analyzing the trellis complexity of convolutional codes. These recent developments provide practicing communication engineers with more choices when designing error control systems. Trellises and Trellis-based Decoding Algorithms for Linear Block Codes combines trellises and trellis-based decoding algorithms for linear codes together in a simple and unified form. The approach is to explain the material in an easily understood manner with minimal mathematical rigor. Trellises and Trellis-based Decoding Algorithms for Linear Block Codes is intended for practicing communication engineers who want to have a fast grasp and understanding of the subject. Only material considered essential and useful for practical applications is included. This book can also be used as a text for advanced courses on the subject.

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-Weight Trellis Search

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722916640
Total Pages : 24 pages
Book Rating : 4.9/5 (166 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-Weight Trellis Search by : National Aeronautics and Space Administration (NASA)

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-Weight Trellis Search written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-15 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: For long linear block codes, maximum likelihood decoding based on full code trellises would be very hard to implement if not impossible. In this case, we may wish to trade error performance for the reduction in decoding complexity. Sub-optimum soft-decision decoding of a linear block code based on a low-weight sub-trellis can be devised to provide an effective trade-off between error performance and decoding complexity. This chapter presents such a suboptimal decoding algorithm for linear block codes. This decoding algorithm is iterative in nature and based on an optimality test. It has the following important features: (1) a simple method to generate a sequence of candidate code-words, one at a time, for test; (2) a sufficient condition for testing a candidate code-word for optimality; and (3) a low-weight sub-trellis search for finding the most likely (ML) code-word. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938...

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722916312
Total Pages : 24 pages
Book Rating : 4.9/5 (163 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes by : National Aeronautics and Space Administration (NASA)

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-20 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Decoding algorithms based on the trellis representation of a code (block or convolutional) drastically reduce decoding complexity. The best known and most commonly used trellis-based decoding algorithm is the Viterbi algorithm. It is a maximum likelihood decoding algorithm. Convolutional codes with the Viterbi decoding have been widely used for error control in digital communications over the last two decades. This chapter is concerned with the application of the Viterbi decoding algorithm to linear block codes. First, the Viterbi algorithm is presented. Then, optimum sectionalization of a trellis to minimize the computational complexity of a Viterbi decoder is discussed and an algorithm is presented. Some design issues for IC (integrated circuit) implementation of a Viterbi decoder are considered and discussed. Finally, a new decoding algorithm based on the principle of compare-select-add is presented. This new algorithm can be applied to both block and convolutional codes and is more efficient than the conventional Viterbi algorithm based on the add-compare-select principle. This algorithm is particularly efficient for rate 1/n antipodal convolutional codes and their high-rate punctured codes. It reduces computational complexity by one-third compared with the Viterbi algorithm. Lin, Shu Goddard Space Flight Center NAG5-931; NAG5-2938...

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-

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Publisher : Independently Published
ISBN 13 : 9781728906683
Total Pages : 26 pages
Book Rating : 4.9/5 (66 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low- by : National Aeronautics and Space Adm Nasa

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low- written by National Aeronautics and Space Adm Nasa and published by Independently Published. This book was released on 2018-10-18 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: For long linear block codes, maximum likelihood decoding based on full code trellises would be very hard to implement if not impossible. In this case, we may wish to trade error performance for the reduction in decoding complexity. Sub-optimum soft-decision decoding of a linear block code based on a low-weight sub-trellis can be devised to provide an effective trade-off between error performance and decoding complexity. This chapter presents such a suboptimal decoding algorithm for linear block codes. This decoding algorithm is iterative in nature and based on an optimality test. It has the following important features: (1) a simple method to generate a sequence of candidate code-words, one at a time, for test; (2) a sufficient condition for testing a candidate code-word for optimality; and (3) a low-weight sub-trellis search for finding the most likely (ML) code-word. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; The Map and Related Decoding Algirithms

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781722916787
Total Pages : 50 pages
Book Rating : 4.9/5 (167 download)

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Book Synopsis Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; The Map and Related Decoding Algirithms by : National Aeronautics and Space Administration (NASA)

Download or read book Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; The Map and Related Decoding Algirithms written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-08-20 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: In a coded communication system with equiprobable signaling, MLD minimizes the word error probability and delivers the most likely codeword associated with the corresponding received sequence. This decoding has two drawbacks. First, minimization of the word error probability is not equivalent to minimization of the bit error probability. Therefore, MLD becomes suboptimum with respect to the bit error probability. Second, MLD delivers a hard-decision estimate of the received sequence, so that information is lost between the input and output of the ML decoder. This information is important in coded schemes where the decoded sequence is further processed, such as concatenated coding schemes, multi-stage and iterative decoding schemes. In this chapter, we first present a decoding algorithm which both minimizes bit error probability, and provides the corresponding soft information at the output of the decoder. This algorithm is referred to as the MAP (maximum aposteriori probability) decoding algorithm. Lin, Shu and Fossorier, Marc Goddard Space Flight Center NAG5-931; NAG5-2938...

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Publisher : Springer
ISBN 13 : 3540456244
Total Pages : 411 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by : Serdar Boztas

Download or read book Applied Algebra, Algebraic Algorithms and Error-Correcting Codes written by Serdar Boztas and published by Springer. This book was released on 2003-06-30 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant “Applied Algebra and Error-Correcting Codes”. Over the years its meaning has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the growing importance of complexity in both decoding algorithms and computational algebra. AAECC aims to encourage cross-fertilization between algebraic methods and their applications in computing and communications. The algebraic orientation is towards ?nite ?elds, complexity, polynomials, and graphs. The applications orientation is towards both theoretical and practical error-correction coding, and, since AAECC 13 (Hawaii, 1999), towards cryptography. AAECC was the ?rst symposium with papers connecting Gr ̈obner bases with E-C codes. The balance between theoretical and practical is intended to shift regularly; at AAECC-14 the focus was on the theoretical side. The main subjects covered were: – Codes: iterative decoding, decoding methods, block codes, code construction. – Codes and algebra: algebraic curves, Gr ̈obner bases, and AG codes. – Algebra: rings and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, arithmetic. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

Conference Record

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Publisher : Margret Schneider
ISBN 13 : 3800728028
Total Pages : 487 pages
Book Rating : 4.8/5 (7 download)

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Book Synopsis Conference Record by : Johannes Huber (Prof. Dr.-Ing.)

Download or read book Conference Record written by Johannes Huber (Prof. Dr.-Ing.) and published by Margret Schneider. This book was released on 2004 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Turbo Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 1461544696
Total Pages : 330 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Turbo Codes by : Branka Vucetic

Download or read book Turbo Codes written by Branka Vucetic and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of our research, industry consulting and con tinuing education courses. Turbo coding initially seemed to belong to a restricted research area, while now has become a part of the mainstream telecommu nication theory and practice. The turbo decoding principles have found widespread applications not only in error control, but in de tection, interference suppression and equalization. Intended for use by advanced students and professional engi neers, involved in coding and telecommunication research, the book includes both basic and advanced material. The chapters are se quenced so that the knowledge is acquired in a logical and progres sive way. The algorithm descriptions and analysis are supported by examples throughout the book. Performance evaluations of the presented algorithms are carried out both analytically and by sim ulations. Basic material included in the book has been taught to students and practicing professionals over the last four years in the form of senior undergraduate or graduate courses, lecture series and short continuing education courses.

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 1042 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 1996 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:

International ITG Conference Source and Channel Coding

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Publisher :
ISBN 13 :
Total Pages : 522 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis International ITG Conference Source and Channel Coding by :

Download or read book International ITG Conference Source and Channel Coding written by and published by . This book was released on 2004 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Turbo Coding, Turbo Equalisation and Space-Time Coding

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Publisher : John Wiley & Sons
ISBN 13 : 0470978333
Total Pages : 839 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Turbo Coding, Turbo Equalisation and Space-Time Coding by : Lajos Hanzo

Download or read book Turbo Coding, Turbo Equalisation and Space-Time Coding written by Lajos Hanzo and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 839 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Error Correction Coding

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Publisher : John Wiley & Sons
ISBN 13 : 1119567475
Total Pages : 999 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Error Correction Coding by : Todd K. Moon

Download or read book Error Correction Coding written by Todd K. Moon and published by John Wiley & Sons. This book was released on 2020-12-22 with total page 999 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing in-depth treatment of error correction Error Correction Coding: Mathematical Methods and Algorithms, 2nd Edition provides a comprehensive introduction to classical and modern methods of error correction. The presentation provides a clear, practical introduction to using a lab-oriented approach. Readers are encouraged to implement the encoding and decoding algorithms with explicit algorithm statements and the mathematics used in error correction, balanced with an algorithmic development on how to actually do the encoding and decoding. Both block and stream (convolutional) codes are discussed, and the mathematics required to understand them are introduced on a “just-in-time” basis as the reader progresses through the book. The second edition increases the impact and reach of the book, updating it to discuss recent important technological advances. New material includes: Extensive coverage of LDPC codes, including a variety of decoding algorithms. A comprehensive introduction to polar codes, including systematic encoding/decoding and list decoding. An introduction to fountain codes. Modern applications to systems such as HDTV, DVBT2, and cell phones Error Correction Coding includes extensive program files (for example, C++ code for all LDPC decoders and polar code decoders), laboratory materials for students to implement algorithms, and an updated solutions manual, all of which are perfect to help the reader understand and retain the content. The book covers classical BCH, Reed Solomon, Golay, Reed Muller, Hamming, and convolutional codes which are still component codes in virtually every modern communication system. There are also fulsome discussions of recently developed polar codes and fountain codes that serve to educate the reader on the newest developments in error correction.

Annales des télécommunications

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Publisher :
ISBN 13 :
Total Pages : 622 pages
Book Rating : 4.:/5 (334 download)

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Download or read book Annales des télécommunications written by and published by . This book was released on 1999 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Wireless Communications

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Publisher : John Wiley & Sons
ISBN 13 : 9780470512876
Total Pages : 890 pages
Book Rating : 4.5/5 (128 download)

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Book Synopsis Advanced Wireless Communications by : Savo G. Glisic

Download or read book Advanced Wireless Communications written by Savo G. Glisic and published by John Wiley & Sons. This book was released on 2007-06-13 with total page 890 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fully revised and updated version of the successful "AdvancedWireless Communications" Wireless communications continue to attract the attention ofboth research community and industry. Since the first edition waspublished significant research and industry activities have broughtthe fourth generation (4G) of wireless communications systemscloser to implementation and standardization. "Advanced Wireless Communications" continues to provide acomparative study of enabling technologies for 4G. This secondedition has been revised and updated and now includes additionalinformation on the components of common air interface, includingthe area of space time coding , multicarrier modulation especiallyOFDM, MIMO, cognitive radio and cooperative transmission. Ideal for students and engineers in research and development inthe field of wireless communications, the second edition ofAdvanced Wireless Communications also gives an understanding tocurrent approaches for engineers in telecomm operators, governmentand regulatory institutions. New features include: Brand new chapter covering linear precoding in MIMO channelsbased on convex optimization theory. Material based on game theory modelling encompassing problemsof adjacent cell interference, flexible spectra sharing andcooperation between the nodes in ad hoc networks. Presents and discusses the latest schemes for interferencesuppression in ultra wide band (UWB) cognitive systems. Discusses the cooperative transmission and more details onpositioning.

Mathematical Reviews

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ISBN 13 :
Total Pages : 1084 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electrical & Electronics Abstracts

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ISBN 13 :
Total Pages : 1860 pages
Book Rating : 4.3/5 (243 download)

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Download or read book Electrical & Electronics Abstracts written by and published by . This book was released on 1997 with total page 1860 pages. Available in PDF, EPUB and Kindle. Book excerpt: