Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding

Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding PDF Author: Yi Shao
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 398

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Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding

Decoding of Linear Codes Based on Their Tail Biting Trellises and Efficient Stopping Criteria for Turbo Decoding PDF Author: Yi Shao
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 398

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Tail Biting Trellis Representation of Codes

Tail Biting Trellis Representation of Codes PDF Author: National Aeronautics and Space Adm Nasa
Publisher:
ISBN: 9781723892349
Category :
Languages : en
Pages : 52

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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...

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes PDF Author: Shu Lin
Publisher: Springer Science & Business Media
ISBN: 1461557453
Category : Technology & Engineering
Languages : en
Pages : 290

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Book Description
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.

Coding, Communications and Broadcasting

Coding, Communications and Broadcasting PDF Author: Mike Darnell
Publisher: Research Studies Press Limited
ISBN:
Category : Computers
Languages : en
Pages : 450

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Book Description
This text consists of chapters on recent research topics in three important and related areas of digital communication theory and practice: coding for error control, communication systems and techniques, and digital broadcasting with emphasis on operation below 30MHz. All the chapters are updated, expanded and edited versions of presentations made by international researchers from academia and industry at the International Symposium on Communication Theory and Applications, held in July 1999 at Ambleside, Cumbria. The section on coding contains results on turbo and low density parity check codes, on iterative and low complexity decoding, on source coding and cryptography, and on some additional related topics. Highlights of the section on communication systems include chapters on equalization, image transmission, sequence design and synchronization. Finally, the chapters in the section on broadcasting describe the possibilities for development at transmission frequencies below 30MHz, and also include a review of current and future developments in digital video broadcasting.

Trellis and Turbo Coding

Trellis and Turbo Coding PDF Author: Christian B. Schlegel
Publisher: John Wiley & Sons
ISBN: 1118083164
Category : Science
Languages : en
Pages : 518

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Book Description
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

Turbo-like Codes

Turbo-like Codes PDF Author: Aliazam Abbasfar
Publisher: Springer Science & Business Media
ISBN: 1402063911
Category : Technology & Engineering
Languages : en
Pages : 94

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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).

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 852

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Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes PDF Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781728906249
Category : Science
Languages : en
Pages : 26

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Book Description
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; a Recursive Maximum Likelihood Decoding

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; a Recursive Maximum Likelihood Decoding PDF Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
ISBN: 9781722916572
Category :
Languages : en
Pages : 30

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Book Description
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. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low-

Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes. Part 3; An Iterative Decoding Algorithm for Linear Block Codes Based on a Low- PDF Author: National Aeronautics and Space Adm Nasa
Publisher: Independently Published
ISBN: 9781728906683
Category : Science
Languages : en
Pages : 26

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Book Description
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