Download or read book Turbo Decoding of High Performance Error Correcting Codes Via Belief Propagation written by and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We studied AWGN coding theorems for ensembles of coding systems which are built from fixed convolutional codes interconnected with random interleavers. We call these systems turbo-like codes and they include as special cases both the classical turbo codes and the serial concatenation of interleaved convolutional codes. We offered a general conjecture about the behavior of the ensemble (maximum-likehood decoder) word error probability as the word length approaches infinity. We proved this conjecture for a simple class of rate l/q serially concatenated codes where the outer code is a q-fold repetition code and the inner code is rate 1 convolutional code with transfer function 1/(1+D). We call these codes "RA" (repeat and accumulate) codes. This was the first rigorous proof of a coding theorem for turbo-like codes.

Download or read book Turbo like Codes written by Aliazam Abbasfar and published by Springer Science & Business Media. This book was released on 2007-09-09 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Download or read book Multi scale Error correcting Codes and Their Decoding Using Belief Propagation written by Yong Seok Yoo and published by . This book was released on 2014 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is motivated from error-correcting codes in the brain. To counteract the effect of representation noise, a large number of neurons participate in encoding even low-dimensional variables. In many brain areas, the mean firing rates of neurons as a function of represented variable, called the tuning curve, have unimodal shape centered at different values, defining a unary code. This dissertation focuses on a new type of neural code where neurons have periodic tuning curves, with a diversity of periods. Neurons that exhibit this tuning are grid cells of the entorhinal cortex, which represent self-location in two-dimensional space. First, we investigate mutual information between such multi-scale codes and the coded variable as a function of tuning curve width. For decoding, we consider maximum likelihood (ML) and plausible neural network (NN) based models. For unary neural codes, Fisher information increases with narrower tuning, regardless of the decoding method. By contrast, for the multi-scale neural code, the optimal tuning curve width depends on the decoding method. While narrow tuning is optimal for ML decoding, a finite width, matched to statistics of the noise, is optimal with a NN decoder. This finding may explain why actual neural tuning curves have relatively wide tuning. Next, motivated by the observation that multi-scale codes involve non-trivial decoding, we examine a decoding algorithm based on belief propagation (BP) because BP promises certain gains in decoding efficiency. The decoding problem is first formulated as a subset selection problem on a graph and then approximately solved by BP. Even though the graph has many cycles, BP converges to a fixed point after few iterations. The mean square error of BP approaches to that of ML at high signal-to-noise ratios. Finally, using the multi-scale code, we propose a joint source-channel coding scheme that allows separate senders to transmit complementary information over additive Gaussian noise channels without cooperation. The receiver decodes one sender's codeword using the other as side information and achieves a lower distortion using the same number of transmissions. The proposed scheme offers a new framework to design distributed joint source-channel codes for continuous variables.

Download or read book Advanced Hardware Design for Error Correcting Codes written by Cyrille Chavet and published by Springer. This book was released on 2014-10-30 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Learning Algorithms for Error Correction written by Loren Lugosch and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Channel coding enables reliable communication over unreliable, noisy channels: by encoding messages with redundancy, it is possible to decode the messages in such a way that errors introduced by the channel are corrected. Modern channel codes achieve very low error rates at long block lengths, but long blocks are often not acceptable for low-latency applications.While there exist short block codes with excellent error-correction performance when decoded optimally, designing practical, low-complexity decoding algorithms that can achieve close-to-optimal results for short codes is still an open problem. In this thesis, we explore an approach to decoding short block codes in which the decoder is recast as a machine learning algorithm.After providing the background concepts on error-correcting codes and machine learning, we review the literature on learning algorithms for error correction, with a special emphasis on the recently introduced ``neural belief propagation'' algorithm. We then describe a set of modifications to neural belief propagation which improve its performance and reduce its implementation complexity. We also propose a new syndrome-based output layer for neural error-correcting decoders which takes the code structure into account during training to yield decoders with lower frame error rate.Finally, we suggest some future work." --

Download or read book The Art of Error Correcting Coding written by Robert H. Morelos-Zaragoza and published by John Wiley & Sons. This book was released on 2006-07-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the success of the first edition, which offered a practical introductory approach to the techniques of error concealment, this book, now fully revised and updated, provides a comprehensive treatment of the subject and includes a wealth of additional features. The Art of Error Correcting Coding, Second Edition explores intermediate and advanced level concepts as well as those which will appeal to the novice. All key topics are discussed, including Reed-Solomon codes, Viterbi decoding, soft-output decoding algorithms, MAP, log-MAP and MAX-log-MAP. Reliability-based algorithms GMD and Chase are examined, as are turbo codes, both serially and parallel concatenated, as well as low-density parity-check (LDPC) codes and their iterative decoders. Features additional problems at the end of each chapter and an instructor’s solutions manual Updated companion website offers new C/C ++programs and MATLAB scripts, to help with the understanding and implementation of basic ECC techniques Easy to follow examples illustrate the fundamental concepts of error correcting codes Basic analysis tools are provided throughout to help in the assessment of the error performance block and convolutional codes of a particular error correcting coding (ECC) scheme for a selection of the basic channel models This edition provides an essential resource to engineers, computer scientists and graduate students alike for understanding and applying ECC techniques in the transmission and storage of digital information.

Download or read book High Speed Decoders for Polar Codes written by Pascal Giard and published by Springer. This book was released on 2017-08-30 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Proceedings of International Conference on Cloud Computing and eGovernance ICCCEG 2012 written by K. Kokula Krishna Hari, Geetam Singh Tomar, E Saikishore, Tai-hoon Kim and published by TECHNO FORUM R&D CENTRE. This book was released on with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings of 2nd International Conference on Micro Electronics Electromagnetics and Telecommunications written by Suresh Chandra Satapathy and published by Springer. This book was released on 2017-09-06 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of best papers presented in the Second International Conference on Microelectronics Electromagnetics and Telecommunication (ICMEET 2016), an international colloquium, which aims to bring together academic scientists, researchers and research scholars to discuss the recent developments and future trends in the fields of microelectronics, electromagnetics and telecommunication. Microelectronics research investigates semiconductor materials and device physics for developing electronic devices and integrated circuits with data/energy efficient performance in terms of speed, power consumption, and functionality. The book discusses various topics like analog, digital and mixed signal circuits, bio-medical circuits and systems, RF circuit design, microwave and millimeter wave circuits, green circuits and systems, analog and digital signal processing, nano electronics and giga scale systems, VLSI circuits and systems, SoC and NoC, MEMS and NEMS, VLSI digital signal processing, wireless communications, cognitive radio, and data communication.

Download or read book Decoding Error correcting Codes Via Linear Programming written by Jon Feldman and published by . This book was released on 2003 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Cont.) Our decoder is particularly attractive for analysis of these codes because the standard message-passing algorithms used for decoding are often difficult to analyze. For turbo codes, we give a relaxation very close to min-cost flow, and show that the success of the decoder depends on the costs in a certain residual graph. For the case of rate-1/2 repeat-accumulate codes (a certain type of turbo code), we give an inverse polynomial upper bound on the probability of decoding failure. For LDPC codes (or any binary linear code), we give a relaxation based on the factor graph representation of the code. We introduce the concept of fractional distance, which is a function of the relaxation, and show that LP decoding always corrects a number of errors up to half the fractional distance. We show that the fractional distance is exponential in the girth of the factor graph. Furthermore, we give an efficient algorithm to compute this fractional distance. We provide experiments showing that the performance of our decoders are comparable to the standard message-passing decoders. We also give new provably convergent message-passing decoders based on linear programming duality that have the ML certificate property.

Download or read book Uncertainty Analysis in Econometrics with Applications written by Van-Nam Huynh and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike uncertain dynamical systems in physical sciences where models for prediction are somewhat given to us by physical laws, uncertain dynamical systems in economics need statistical models. In this context, modeling and optimization surface as basic ingredients for fruitful applications. This volume concentrates on the current methodology of copulas and maximum entropy optimization. This volume contains main research presentations at the Sixth International Conference of the Thailand Econometrics Society held at the Faculty of Economics, Chiang Mai University, Thailand, during January 10-11, 2013. It consists of keynote addresses, theoretical and applied contributions. These contributions to Econometrics are somewhat centered around the theme of Copulas and Maximum Entropy Econometrics. The method of copulas is applied to a variety of economic problems where multivariate model building and correlation analysis are needed. As for the art of choosing copulas in practical problems, the principle of maximum entropy surfaces as a potential way to do so. The state-of-the-art of Maximum Entropy Econometrics is presented in the first keynote address, while the second keynote address focusses on testing stationarity in economic time series data.

Download or read book Technologies for the Wireless Future written by Klaus David and published by John Wiley & Sons. This book was released on 2008-09-15 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume of the influential WWRF Book of Visions of research and trends in mobile communications has been fully updated. It includes three new chapters on flexible spectrum use, ultra-broadband convergent home-area networks, and the system concept. Visions from manufacturers, network operators, research institutes and academia from all over world are captured by the WWRF in one comprehensive single point of reference. Technologies for the Wireless Future, Volume 3 describes the expectations and requirements of a user in the ‘future wireless world’ between 2010 and 2017. This will enable readers to prioritise research topics based on the provision of cost-effective solutions. This book is ideal for researchers from both academia and industry, as well as engineers, managers, strategists, and regulators. WWRF has become highly influential on the future of wireless communication. You can see the evidence already, as many of the concepts described in the very first Book of Vision have been adopted in today’s wireless implementations. The organization brings together the long-range views of academia with the practical constraints and requirements of industry. This is a powerful combination. Mark Pecen, Vice President, Research In Motion Limited The WWRF Book of Vision series of books are an invaluable source of information for key thoughts and technology developments in wireless and mobile communication. The comprehensiveness and diversified nature of its research reports and results can prove to be a very useful tool in planning and developing the next generation network and services. Bill Huang, General Manager, China Mobile Research As mobile broadband becomes part of our daily lives, in the same way that mobile telephony has done, and helps us to support important issues such as health care, education and many other priorities, WWRF is again exploring the options for mobile and wireless systems in its' third edition of the Book of Visions. Earlier versions have helped to reach global consensus on research objectives, reduce investment risk and generate critical mass in research efforts. The third book of visions provides key insights into the international academic and commercial discussion on tomorrows' hot topics in mobile research! Håkan Eriksson, Senior Vice President, CTO, Ericsson

Download or read book Quantum Error Correction Decoders written by Eduard Bordas Marchante and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Error correction is used to correct any errors that may arise when sending any message, as errors are prone to appear due to noise. For classical codes, there are many decoders used, for example, belief propagation. Unfortunately, these classical decoders are less efficient for quantum codes. A proposed remedy to improve the decoders efficiency is to use a neural network for decoding. In this thesis, we will implement belief propagation on the toric code and check its efficiency. We will see that for few errors, belief propagation works, but it fails for other cases. We also introduce the modifications needed for neural belief propagation, a modification of the original algorithm that integrates a neural network on the algorithm structure.

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.

Download or read book Error Correction Coding for Digital Communications written by George C. Clark Jr. and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Advances in Computing and Data Sciences written by Mayank Singh and published by Springer Nature. This book was released on 2021-10-22 with total page 771 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book constitutes the post-conference proceedings of the 5th International Conference on Advances in Computing and Data Sciences, ICACDS 2021, held in Nashik, India, in April 2021.* The 103 full papers were carefully reviewed and selected from 781 submissions. The papers in Part I and II are centered around topics like distributed systems organizing principles, development frameworks and environments, software verification and validation, computational complexity and cryptography, machine learning theory, database theory, probabilistic representations database management system engines, data mining, information retrieval query processing, database and storage security, ubiquitous and mobile computing, parallel computing methodologies, and others. *The conference was held virtually due to the COVID-19 pandemic.

Download or read book Iterative Error Correction written by Sarah J. Johnson and published by Cambridge University Press. This book was released on 2010 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents all of the key ideas needed to understand, design, implement and analyse iterative-based error correction schemes.