Iterative Trellis Decoding For Block Codes

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Iterative Trellis Decoding For Block Codes

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Author : Frédéric Fontaine (Michel)
language : en
Publisher:
Release Date : 1999

Iterative Trellis Decoding For Block Codes written by Frédéric Fontaine (Michel) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.

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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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-10-18

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 has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-18 with Science categories.

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 An Iterative Decoding Algorithm For Linear Block Codes Based On A Low Weight Trellis Search

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Author : National Aeronautics and Space Administration (NASA)
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2018-07-15

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 has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-15 with categories.

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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Author : Shu Lin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes written by Shu Lin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

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.

Trellis And Turbo Coding

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Author : Christian B. Schlegel
language : en
Publisher: John Wiley & Sons
Release Date : 2015-08-19

Trellis And Turbo Coding written by Christian B. Schlegel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-19 with Science categories.

This new edition has been extensively revised to reflect the progress in error control coding over the past few years. Over 60% of the material has been completely reworked, and 30% of the material is original. Convolutional, turbo, and low density parity-check (LDPC) coding and polar codes in a unified framework Advanced research-related developments such as spatial coupling A focus on algorithmic and implementation aspects of error control coding

Trellis Based Iterative Decoding Of Block Codes For Satellite Atm

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Author : Usa Vilaipornsawai
language : en
Publisher:
Release Date : 2001

Trellis Based Iterative Decoding Of Block Codes For Satellite Atm written by Usa Vilaipornsawai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Artificial satellites in telecommunication categories.

In power-limited channels such as satellite links, error control codes are needed to provide high performance at very low Signal-to-Noise Ratios (SNRs). Turbo Codes or concatenated codes with iterative decoding, can achieve a performance very close to the Shannon limit. They are the most powerful codes known so far and are considered for use in various applications. In this thesis, we present the turbo codes using Reed-Muller (RM) codes as their component codes, and where the decoding method used is the trellis-based iterative Maximum A posteriori Probability (MAP) algorithm which provides an optimal performance. We aim to apply our turbo coding scheme to Asynchronous Transfer Mode (ATM) applications in Digital Video Broadcast - Return Channel via Satellite (DVB-RCS). Therefore, the shortened versions of ordinary RM-turbo codes are proposed. As well, we investigate the effect of phase offset on the shortened RM-turbo code performance with Quadrature Phase Shift Keying (QPSK) modulation scheme and the effect of preamble size used to recover carrier phase due to the problem of synchronization which is usually raised in practical systems.

Constrained Coding And Soft Iterative Decoding

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Author : John L. Fan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Constrained Coding And Soft Iterative Decoding written by John L. Fan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

Constrained Coding and Soft Iterative Decoding is the first work to combine the issues of constrained coding and soft iterative decoding (e.g., turbo and LDPC codes) from a unified point of view. Since constrained coding is widely used in magnetic and optical storage, it is necessary to use some special techniques (modified concatenation scheme or bit insertion) in order to apply soft iterative decoding. Recent breakthroughs in the design and decoding of error-control codes (ECCs) show significant potential for improving the performance of many communications systems. ECCs such as turbo codes and low-density parity check (LDPC) codes can be represented by graphs and decoded by passing probabilistic (a.k.a. `soft') messages along the edges of the graph. This message-passing algorithm yields powerful decoders whose performance can approach the theoretical limits on capacity. This exposition uses `normal graphs,' introduced by Forney, which extend in a natural manner to block diagram representations of the system and provide a simple unified framework for the decoding of ECCs, constrained codes, and channels with memory. Soft iterative decoding is illustrated by the application of turbo codes and LDPC codes to magnetic recording channels. For magnetic and optical storage, an issue arises in the use of constrained coding, which places restrictions on the sequences that can be transmitted through the channel; the use of constrained coding in combination with soft ECC decoders is addressed by the modified concatenation scheme also known as `reverse concatenation.' Moreover, a soft constraint decoder yields additional coding gain from the redundancy in the constraint, which may be of practical interest in the case of optical storage. In addition, this monograph presents several other research results (including the design of sliding-block lossless compression codes, and the decoding of array codes as LDPC codes). Constrained Coding and Soft Iterative Decoding will prove useful to students, researchers and professional engineers who are interested in understanding this new soft iterative decoding paradigm and applying it in communications and storage systems.

Trellis Decoding Of 3 D Block Turbo Codes

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Author : Bo Yin
language : en
Publisher:
Release Date : 2002

Trellis Decoding Of 3 D Block Turbo Codes written by Bo Yin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Coding theory categories.

Forward Error Correction (FEC) technique provides a method to detect and correct errors in transmitted data. It is also a valuable technique to reduce the power requirement, thus have an important role in these systems. This reduction in power requirement is achieved at the expense of an increase in bandwidth requirement. The objective is usually to find error control techniques that give good tradeoff between power and bandwidth requirements. In this thesis, we present results for FEC technique using Turbo Block Codes and Turbo Product Codes. It is shown that these codes, not only in theory but also in hardware implementation, are capable of providing significant performance gains over other error-correction schemes. This thesis investigates Trellis based iterative decoding techniques applied to concatenated coding schemes, Turbo Block Codes. We use RM(n, k) to construct 2-D and multi-dimensional Turbo Block Codes. Our objective is to get high code rates and long block sizes for more bandwidth efficiency and improving the performance of the optimised maximum a posterior decoding algorithm.

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 The Map And Related Decoding Algirithms

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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-10-24

Trellises And Trellis Based Decoding Algorithms For Linear Block Codes Part 3 The Map And Related Decoding Algirithms written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-24 with Science categories.

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

Tail Biting Trellis Representation Of Codes

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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher:
Release Date : 2018-09-21

Tail Biting Trellis Representation Of Codes written by National Aeronautics and Space Adm Nasa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-21 with categories.

This paper presents two new iterative algorithms for decoding linear codes based on their tail biting trellises, one is unidirectional and the other is bidirectional. Both algorithms are computationally efficient and achieves virtually optimum error performance with a small number of decoding iterations. They outperform all the previous suboptimal decoding algorithms. The bidirectional algorithm also reduces decoding delay. Also presented in the paper is a method for constructing tail biting trellises for linear block codes.Shao. Rose Y. and Lin, Shu and Fossorier, MarcGoddard Space Flight CenterALGORITHMS; APPLICATIONS PROGRAMS (COMPUTERS); TRELLIS CODING; MATHEMATICAL MODELS; VITERBI DECODERS; COMPUTERIZED SIMULATION; FLOW CHARTS; ITERATION; BLOCK DIAGRAMS; MATRICES (MATHEMATICS); CONVOLUTION INTEGRALS...