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Efficient Decoder Design for Error Correcting Codes

Efficient Decoder Design for Error Correcting Codes
Author: Chenrong Xiong
Publisher:
Total Pages: 150
Release: 2016
Genre:
ISBN: 9781339839264

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To reduce the complexity of the recursive channel combination further, we propose an approximate ML (AML) decoding unit for SCL decoders. In particular, we investigate the distribution of frozen bits of polar codes designed for both the binary erasure and additive white Gaussian noise channels, and take advantage of the distribution to reduce the complexity of the AML decoding unit, improving the throughput-area efficiency of SCL decoders.


Efficient Decoder Design for Error Correction Codes

Efficient Decoder Design for Error Correction Codes
Author: Jinjin He
Publisher:
Total Pages: 238
Release: 2010
Genre: Error-correcting codes (Information theory)
ISBN:

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Error correction codes (ECCs) have been widely used in communication systems and storage devices. Nowadays, the rapid development of integrated circuit technologies makes feasible the implementation of powerful ECCs such as turbo code and low-density parity-check (LDPC) code. However, these high-performance codes require complex decoding algorithms, resulting in large hardware area and high power consumption. Furthermore, some of these decoders require an iterative decoding process, which leads to a long decoding latency. Therefore, low-complexity, low-power and high-speed very-large-scale integration (VLSI) architecture design for the ECC decoder is of great importance. This dissertation focuses on efficient VLSI implementation for the decoders of convolutional codes and two advanced coding schemes based on convolutional code: trellis-coded modulation (TCM) and convolutional turbo code (CTC). The first part of this dissertation is dedicated to low-complexity, low-power decoders design for a 4-dimensional, 8-ary phase-shift keying (4-D 8PSK) TCM system. We propose a low-complexity architecture for the transition-metric unit (TMU) to reduce the hardware area without performance loss. Then, a power-efficient scheme by applying T-algorithm on branch metrics (BMs) is proposed for the Viterbi decoder (VD) embedded in the 4-D 8PSK TCM decoder. Unlike the conventional T-algorithm, the proposed scheme does not affect the clock speed of the decoder. Finally, a hybrid T-algorithm is developed by applying T-algorithm on both BMs and path metrics (PMs), which reduces significantly more computations than the conventional T-algorithm applied on PMs. The VLSI design for VDs has been an active research area for decades. In the second part of the dissertation, we extend our research to a more general topic of VDs, where novel architectures are explored to efficiently reduce the power consumption, while still maintaining a high decoding speed and a low decoding latency. CTCs are constructed from parallel convolutional encoding of the same message in different sequences and have the error-correcting capability near the Shannon bound. Practical decoding schemes normally require an iterative decoding process employing the soft-in soft-out (SISO) decoder. The third part of this dissertation is focused on the SISO decoder design for double-binary (DB) CTCs. We propose a low-complexity, memory-reduced architecture by partitioning BMs into two independent portions: information metrics and parity metrics. Furthermore, high-speed recursion architectures for logarithm domain maximum a posteriori probability (log-MAP) algorithm are proposed to increase the decoding speed by algorithmic approximation and bit-level optimization.


Error-Correction Coding and Decoding

Error-Correction Coding and Decoding
Author: Martin Tomlinson
Publisher: Springer
Total Pages: 527
Release: 2017-02-21
Genre: Technology & Engineering
ISBN: 3319511033

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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.


Advanced Hardware Design for Error Correcting Codes

Advanced Hardware Design for Error Correcting Codes
Author: Cyrille Chavet
Publisher: Springer
Total Pages: 197
Release: 2014-10-30
Genre: Technology & Engineering
ISBN: 3319105698

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This book provides thorough coverage of error correcting techniques. It includes essential basic concepts and the latest advances on key topics in design, implementation, and optimization of hardware/software systems for error correction. The book’s chapters are written by internationally recognized experts in this field. Topics include evolution of error correction techniques, industrial user needs, architectures, and design approaches for the most advanced error correcting codes (Polar Codes, Non-Binary LDPC, Product Codes, etc). This book provides access to recent results, and is suitable for graduate students and researchers of mathematics, computer science, and engineering. • Examines how to optimize the architecture of hardware design for error correcting codes; • Presents error correction codes from theory to optimized architecture for the current and the next generation standards; • Provides coverage of industrial user needs advanced error correcting techniques. Advanced Hardware Design for Error Correcting Codes includes a foreword by Claude Berrou.


List Decoding of Error-Correcting Codes

List Decoding of Error-Correcting Codes
Author: Venkatesan Guruswami
Publisher: Springer Science & Business Media
Total Pages: 354
Release: 2004-11-29
Genre: Computers
ISBN: 3540240519

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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.


Resource Efficient LDPC Decoders

Resource Efficient LDPC Decoders
Author: Vikram Arkalgud Chandrasetty
Publisher: Academic Press
Total Pages: 192
Release: 2017-12-05
Genre: Technology & Engineering
ISBN: 0128112565

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This book takes a practical hands-on approach to developing low complexity algorithms and transforming them into working hardware. It follows a complete design approach – from algorithms to hardware architectures - and addresses some of the challenges associated with their design, providing insight into implementing innovative architectures based on low complexity algorithms.The reader will learn: Modern techniques to design, model and analyze low complexity LDPC algorithms as well as their hardware implementation How to reduce computational complexity and power consumption using computer aided design techniques All aspects of the design spectrum from algorithms to hardware implementation and performance trade-offs Provides extensive treatment of LDPC decoding algorithms and hardware implementations Gives a systematic guidance, giving a basic understanding of LDPC codes and decoding algorithms and providing practical skills in implementing efficient LDPC decoders in hardware Companion website containing C-Programs and MATLAB models for simulating the algorithms, and Verilog HDL codes for hardware modeling and synthesis


Error-Correction Coding for Digital Communications

Error-Correction Coding for Digital Communications
Author: George C. Clark Jr.
Publisher: Springer Science & Business Media
Total Pages: 432
Release: 2013-06-29
Genre: Technology & Engineering
ISBN: 1489921745

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Error-correction coding is being used on an almost routine basis in most new communication systems. Not only is coding equipment being used to increase the energy efficiency of communication links, but coding ideas are also providing innovative solutions to many related communication problems. Among these are the elimination of intersymbol interference caused by filtering and multipath and the improved demodulation of certain frequency modulated signals by taking advantage of the "natural" coding provided by a continuous phase. Although several books and nu merous articles have been written on coding theory, there are still noticeable deficiencies. First, the practical aspects of translating a specific decoding algorithm into actual hardware have been largely ignored. The information that is available is sketchy and is widely dispersed. Second, the information required to evaluate a particular technique under situations that are en countered in practice is available for the most part only in private company reports. This book is aimed at correcting both of these problems. It is written for the design engineer who must build the coding and decoding equipment and for the communication system engineer who must incorporate this equipment into a system. It is also suitable as a senior-level or first-year graduate text for an introductory one-semester course in coding theory. The book U"Ses a minimum of mathematics and entirely avoids the classical theorem/proof approach that is often seen in coding texts.


High-Speed Decoders for Polar Codes

High-Speed Decoders for Polar Codes
Author: Pascal Giard
Publisher: Springer
Total Pages: 108
Release: 2017-08-30
Genre: Computers
ISBN: 3319597825

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A new class of provably capacity achieving error-correction codes, polar codes are suitable for many problems, such as lossless and lossy source coding, problems with side information, multiple access channel, etc. The first comprehensive book on the implementation of decoders for polar codes, the authors take a tutorial approach to explain the practical decoder implementation challenges and trade-offs in either software or hardware. They also demonstrate new trade-offs in latency, throughput, and complexity in software implementations for high-performance computing and GPGPUs, and hardware implementations using custom processing elements, full-custom application-specific integrated circuits (ASICs), and field-programmable-gate arrays (FPGAs). Presenting a good overview of this research area and future directions, High-Speed Decoders for Polar Codes is perfect for any researcher or SDR practitioner looking into implementing efficient decoders for polar codes, as well as students and professors in a modern error correction class. As polar codes have been accepted to protect the control channel in the next-generation mobile communication standard (5G) developed by the 3GPP, the audience includes engineers who will have to implement decoders for such codes and hardware engineers designing the backbone of communication networks.


Error-Correction Coding and Decoding

Error-Correction Coding and Decoding
Author: Mohammed Ahmed
Publisher:
Total Pages: 526
Release: 2020-10-08
Genre: Technology & Engineering
ISBN: 9781013268144

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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 these 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 work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.


Turbo-like Codes

Turbo-like Codes
Author: Aliazam Abbasfar
Publisher: Springer Science & Business Media
Total Pages: 94
Release: 2007-09-09
Genre: Technology & Engineering
ISBN: 1402063911

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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).