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Performance Analysis Of Linear Codes Under Maximun Likelihood Decoding A Tutorial
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Book Synopsis Performance Analysis of Linear Codes Under Maximum-likelihood Decoding by : Igal Sason
Download or read book Performance Analysis of Linear Codes Under Maximum-likelihood Decoding written by Igal Sason and published by Now Publishers Inc. This book was released on 2006 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Performance Analysis of Linear Codes under Maximum-Likelihood Decoding: A Tutorial focuses on the performance evaluation of linear codes under optimal maximum-likelihood (ML) decoding. Though the ML decoding algorithm is prohibitively complex for most practical codes, their performance analysis under ML decoding allows to predict their performance without resorting to computer simulations. Performance Analysis of Linear Codes under Maximum-Likelihood Decoding: A Tutorial is a comprehensive introduction to this important topic for students, practitioners and researchers working in communications and information theory.
Book Synopsis Performance Analysis of Linear Codes Under Maximun-likelihood Decoding: a Tutorial by : Igal Sason
Download or read book Performance Analysis of Linear Codes Under Maximun-likelihood Decoding: a Tutorial written by Igal Sason and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Performance Analysis of Linear Codes Under Maximum-likehood Decoding : a Tutorial by : Igal Sason
Download or read book Performance Analysis of Linear Codes Under Maximum-likehood Decoding : a Tutorial written by Igal Sason and published by . This book was released on 2005 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Space Information Networks by : Quan Yu
Download or read book Space Information Networks written by Quan Yu and published by Springer Nature. This book was released on with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modern Coding Theory by : Tom Richardson
Download or read book Modern Coding Theory written by Tom Richardson and published by Cambridge University Press. This book was released on 2008-03-17 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Having trouble deciding which coding scheme to employ, how to design a new scheme, or how to improve an existing system? This summary of the state-of-the-art in iterative coding makes this decision more straightforward. With emphasis on the underlying theory, techniques to analyse and design practical iterative coding systems are presented. Using Gallager's original ensemble of LDPC codes, the basic concepts are extended for several general codes, including the practically important class of turbo codes. The simplicity of the binary erasure channel is exploited to develop analytical techniques and intuition, which are then applied to general channel models. A chapter on factor graphs helps to unify the important topics of information theory, coding and communication theory. Covering the most recent advances, this text is ideal for graduate students in electrical engineering and computer science, and practitioners. Additional resources, including instructor's solutions and figures, available online: www.cambridge.org/9780521852296.
Download or read book 5G Physical Layer written by Ali Zaidi and published by Academic Press. This book was released on 2018-09-22 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 5G Physical Layer: Principles, Models and Technology Components explains fundamental physical layer design principles, models and components for the 5G new radio access technology – 5G New Radio (NR). The physical layer models include radio wave propagation and hardware impairments for the full range of frequencies considered for the 5G NR (up to 100 GHz). The physical layer technologies include flexible multi-carrier waveforms, advanced multi-antenna solutions, and channel coding schemes for a wide range of services, deployments, and frequencies envisioned for 5G and beyond. A MATLAB-based link level simulator is included to explore various design options. 5G Physical Layer is very suitable for wireless system designers and researchers: basic understanding of communication theory and signal processing is assumed, but familiarity with 4G and 5G standards is not required. With this book the reader will learn: The fundamentals of the 5G NR physical layer (waveform, modulation, numerology, channel codes, and multi-antenna schemes). Why certain PHY technologies have been adopted for the 5G NR. The fundamental physical limitations imposed by radio wave propagation and hardware impairments. How the fundamental 5G NR physical layer functionalities (e.g., parameters/methods/schemes) should be realized. The content includes: A global view of 5G development – concept, standardization, spectrum allocation, use cases and requirements, trials, and future commercial deployments. The fundamentals behind the 5G NR physical layer specification in 3GPP. Radio wave propagation and channel modeling for 5G and beyond. Modeling of hardware impairments for future base stations and devices. Flexible multi-carrier waveforms, multi-antenna solutions, and channel coding schemes for 5G and beyond. A simulator including hardware impairments, radio propagation, and various waveforms. Ali Zaidi is a strategic product manager at Ericsson, Sweden. Fredrik Athley is a senior researcher at Ericsson, Sweden. Jonas Medbo and Ulf Gustavsson are senior specialists at Ericsson, Sweden. Xiaoming Chen is a professor at Xi’an Jiaotong University, China. Giuseppe Durisi is a professor at Chalmers University of Technology, Sweden, and a guest researcher at Ericsson, Sweden.
Book Synopsis A Foundation in Digital Communication by : Amos Lapidoth
Download or read book A Foundation in Digital Communication written by Amos Lapidoth and published by Cambridge University Press. This book was released on 2009-07-09 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: This intuitive yet rigourous introduction derives the core results of digital communication from first principles. Theory, rather than industry standards, motivates the engineering approaches, and key results are stated with all the required assumptions. The book emphasizes the geometric view, opening with the inner product, the matched filter for its computation, Parseval's theorem, the sampling theorem as an orthonormal expansion, the isometry between passband signals and their baseband representation, and the spectral-efficiency optimality of quadrature amplitude modulation (QAM). Subsequent chapters address noise, hypothesis testing, Gaussian stochastic processes, and the sufficiency of the matched filter outputs. Uniquely, there is a treatment of white noise without generalized functions, and of the power spectral density without artificial random jitters and random phases in the analysis of QAM. This systematic and insightful book, with over 300 exercises, is ideal for graduate courses in digital communication, and for anyone asking 'why' and not just 'how'.
Download or read book Complex Systems written by and published by Elsevier. This book was released on 2011-09-22 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: There has been recently some interdisciplinary convergence on a number of precise topics which can be considered as prototypes of complex systems. This convergence is best appreciated at the level of the techniques needed to deal with these systems, which include: 1) A domain of research around a multiple point where statistical physics, information theory, algorithmic computer science, and more theoretical (probabilistic) computer science meet: this covers some aspects of error correcting codes, stochastic optimization algorithms, typical case complexity and phase transitions, constraint satisfaction problems. 2) The study of collective behavior of interacting agents, its impact on understanding some types of economical and financial problems, their link to population and epidemics dynamics, game theory, social, biological and computer networks and evolution. The present book is the written version of the lectures given during the Les Houches summer school session on "Complex Systems", devoted to these emerging interdisciplinary fields. The lectures consist both in a number of long methodological courses (probability theory, statistical physics of disordered systems, information theory, network structure and evolution, agent-based economics and numerical methods) and more specific, 'problem oriented' courses. Lecturers are all leading experts in their field; they have summarized recent results in a clear and authoritative manner. The "Les Houches lecture notes" have a long tradition of excellence and are often found to be useful for a number of years after they were written. The book is of interest to students and researchers with various backgrounds: probability theory, computer science, information theory, physics, finance, biology, etc. · Topical and comprehensive survey of the emerging, interdisciplinary field of "Complex Systems", covered by recognized world experts · "Les Houches lectures notes": a long tradition of excellence and long-lasting impact · Of interest to a broad audience (mathematics, physics, biology, informatics, finance, geology, etc.) · Some applications may have concrete impact · Selected topics in complex systems: forefront of research in the field
Book Synopsis Bit-Interleaved Coded Modulation by : Albert Guillén i Fàbregas
Download or read book Bit-Interleaved Coded Modulation written by Albert Guillén i Fàbregas and published by Now Publishers Inc. This book was released on 2008 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bit-Interleaved Coded Modulation is a comprehensive study of the subject, providing a comprehensive review of one of the most important coding schemes in modern communication systems.
Book Synopsis The Foundations of the Digital Wireless World by : Andrew J. Viterbi
Download or read book The Foundations of the Digital Wireless World written by Andrew J. Viterbi and published by World Scientific. This book was released on 2010 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Professor Andrew J Viterbi has been extremely influential in the communications field via his invention of the Viterbi Algorithm, and his championing of CDMA technology developed by his company Qualcomm Inc. This book presents a selection of papers personally selected by him to mark his key technical contributions and his thoughts on CDMA technology as it evolved.
Book Synopsis The Best of the Best by : William H. Tranter
Download or read book The Best of the Best written by William H. Tranter and published by John Wiley & Sons. This book was released on 2007-01-09 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Best of the Best: Fifty Years of Communications and Networking Research consists of a group of 50 papers selected as the best published by ComSoc in its various journals in the Society’s 50-year history. The editors of the collection have written an essay to introduce the papers and discuss the historical significance of the collection and how they were selected for the collection. The book divides the papers into two major categories (Communications and Networking) and groups them by decade within these major subdivisions.
Download or read book Proceedings written by and published by . This book was released on 2006 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722916640 Total Pages :24 pages Book Rating :4.9/5 (166 download)
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...
Book Synopsis Code Representation and Performance of Graph-Based Decoding by : Junsheng Han
Download or read book Code Representation and Performance of Graph-Based Decoding written by Junsheng Han and published by . This book was released on 2008 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key to the success of modern error correcting codes is the effectiveness of message-passing iterative decoding (MPID). Unlike maximum-likelihood (ML) decoding, the performance of MPID depends not only on the code, but on how the code is represented. In particular, the performance of MPID is potentially improved by using a redundant representation. We focus on Tanner graphs and study combinatorial structures therein that help explain the performance disparity among different representations of the same code. Emphasis is placed on the complexity-performance tradeoff, as more and more check nodes are allowed in the graph. Our discussion applies to MPID as well as linear programming decoding (LPD), which we collectively refer to as graph-based decoding. On an erasure channel, it is well-known that the performance of MPID or LPD is determined by stopping sets. Following Schwartz and Vardy, we define the stopping redundancy as the smallest number of check nodes in a Tanner graph such that smallest size of a non-empty stopping set is equal to the minimum Hamming distance of the code. Roughly speaking, stopping redundancy measures the complexity requirement (in number of check nodes) for MPID of a redundant graph representation to achieve performance comparable to ML decoding (up to a constant factor for small channel erasure probability). General upper bounds on stopping redundancy are obtained. One of our main contribution is a new upper bound based on probabilistic analysis, which is shown to be by far the strongest. From this bound, it can be shown, for example, that for a fixed minimum distance, the stopping redundancy grows just linearly with the redundancy (codimension). Specific results on the stopping redundancy of Golay and Reed-Muller codes are also obtained. We show that the stopping redundancy of maximum distance separable (MDS) codes is bounded in between a Turan number and a single-exclusion (SE) number --- a purely combinatorial quantity that we introduce. By studying upper bounds on the SE number, new results on the stopping redundancy of MDS codes are obtained. Schwartz and Vardy conjecture that the stopping redundancy of an MDS code should only depend on its length and minimum distance. Our results provide partial confirmation, both exact and asymptotic, to this conjecture. Stopping redundancy can be large for some codes. We observe that significantly fewer checks are needed if a small number of small stopping sets are allowed. These small stopping sets can then be dealt with by ``guessing'' during the iterative decoding process. Correspondingly, the guess-g stopping redundancy is defined and it is shown that the savings in number of required check nodes are potentially significant. Another theoretically interesting question is when MPID of a Tanner graph achieves the same word error rate an ML decoder. This prompts us to define and study ML redundancy. Applicability and possible extensions of the current work to a non-erasure channel are discussed. A framework based on pseudo-codewords is considered and shown to be relevant. However, it is also observed that the polytope characterization of pseudo-codewords is not complete enough to be an accurate indicator of MPID performance. Finally, in a separate piece of work, the probability of undetected error (PUE) for over-extended Reed-Solomon codes is studied through the weight distribution bounds of the code. The resulting PUE expressions are shown to be tight in a well-defined sense.
Book Synopsis Wireless Communications by : Andreas F. Molisch
Download or read book Wireless Communications written by Andreas F. Molisch and published by John Wiley & Sons. This book was released on 2022-11-15 with total page 1014 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth and comprehensive treatment of wireless communication technology ranging from the fundamentals to the newest research results The expanded and completely revised Third Edition of Wireless Communications delivers an essential text in wireless communication technology that combines mathematical descriptions with intuitive explanations of the physical facts that enable readers to acquire a deep understanding of the subject. This latest edition includes brand-new sections on cutting edge research topics such as massive MIMO, polar codes, heterogeneous networks, non-orthogonal multiple access, as well as 5G cellular standards, WiFi 6, and Bluetooth Low Energy. Together with the re-designed descriptions of fundamentals such as fading, OFDM, and multiple access, it provides a thorough treatment of all the technologies that underlie fifth-generation and beyond systems. A complimentary companion website provides readers with a wealth of old and new material, including instructor resources available upon request. Readers will also find: A thorough introduction to the applications and requirements of modern wireless services, including video streaming, virtual reality, and Internet of Things. Comprehensive explorations of wireless propagation mechanisms and channel models, ranging from Rayleigh fading to advanced models for MIMO communications. Detailed discussions of single-user communications fundamentals, including modern coding techniques, multi-carrier communications, and single-user MIMO. Extensive description of multi-user communications, including packet radio systems, CDMA, scheduling, admission control, cellular and ad-hoc network design, and multi-user MIMO. In-depth examinations of advanced topics in wireless communication, like speech and video coding, cognitive radio, NOMA, network coding, and wireless localization. A comprehensive description of the key wireless standards, including LTE, 5G, WiFi, Bluetooth, and an outlook to Beyond 5G systems. Perfect for advanced undergraduate and graduate students with a basic knowledge of standard communications, Wireless Communications will also earn a place in the libraries of researchers and system designers seeking a one-stop resource on wireless communication technology.
Book Synopsis Advanced Error Control Techniques for Data Storage Systems by : Erozan M. Kurtas
Download or read book Advanced Error Control Techniques for Data Storage Systems written by Erozan M. Kurtas and published by CRC Press. This book was released on 2018-10-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the massive amount of data produced and stored each year, reliable storage and retrieval of information is more crucial than ever. Robust coding and decoding techniques are critical for correcting errors and maintaining data integrity. Comprising chapters thoughtfully selected from the highly popular Coding and Signal Processing for Magnetic Recording Systems, Advanced Error Control Techniques for Data Storage Systems is a finely focused reference to the state-of-the-art error control and modulation techniques used in storage devices. The book begins with an introduction to error control codes, explaining the theory and basic concepts underlying the codes. Building on these concepts, the discussion turns to modulation codes, paying special attention to run-length limited sequences, followed by maximum transition run (MTR) and spectrum shaping codes. It examines the relationship between constrained codes and error control and correction systems from both code-design and architectural perspectives as well as techniques based on convolution codes. With a focus on increasing data density, the book also explores multi-track systems, soft decision decoding, and iteratively decodable codes such as Low-Density Parity-Check (LDPC) Codes, Turbo codes, and Turbo Product Codes. Advanced Error Control Techniques for Data Storage Systems offers a comprehensive collection of theory and techniques that is ideal for specialists working in the field of data storage systems.
Book Synopsis A New Generic Maximum-likelihood Metric Expression for Space-time Block Codes with Applications to Decoding by : Jeff Leuschner
Download or read book A New Generic Maximum-likelihood Metric Expression for Space-time Block Codes with Applications to Decoding written by Jeff Leuschner and published by . This book was released on 2007 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Space-time block coding is a technique used to exploit diversity in a multiple-input multiple-output (MIMO) environment. Orthogonal space-time block codes (OSTBCs) are desirable because they can achieve full transmit diversity while maintaining a simple low-complexity maximum-likelihood (ML) decoding algorithm. However, OSTBCs are limited in their error performance. This has led to the development of more general linear space-time block codes, such as quasi-orthogonal space-time block codes (QOSTBCs). QOSTBCs offer better error performance, but their decoding complexity is a concern since it is no longer a linear function of the number of transmitted symbols. In this thesis, a new vectorization for linear STBCs is proposed that explicitly maintains the redundancy in the STBC transmission matrix. By expressing the ML metric using the new vectorization, a new generic representation of the ML metric expression for a linear STBC is derived. One immediate application of this new metric expression is the convenient partial decoupling and simplification of the detection metric for linear STBCs. The new metric expression can also be used as a design tool to help in the construction of new STBCs with low decoding complexity. As an example, a new QOSTBC is constructed that has lower decoding complexity than one previously proposed in the literature of equal rate and diversity. A comparison is conducted to answer the following question: for the family of QOSTBCs, when is it best to perform an exhaustive search using a metric expression that is simplified and decoupled as much as possible, and when should an efficient implementation of the sphere decoding algorithm be applied? Determining this boundary is an important and practical issue not yet directly addressed in the literature. The new metric expression can also be used as the framework for a new family of sub-optimal decoding algorithms for STBCs that trade-off error performance for a reduction in decoding complexity. A practical example of such an algorithm is given as an example.
