Algebraic Aspects of Digital Communications

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Author :
Publisher : IOS Press
ISBN 13 : 1607500191
Total Pages : 296 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Algebraic Aspects of Digital Communications by : Tanush Shaska

Download or read book Algebraic Aspects of Digital Communications written by Tanush Shaska and published by IOS Press. This book was released on 2009 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: -Proceedings of the NATO Advanced Study Institute on New Challenges in Digital Communications, Vlora, Albania, 27 April - 9 May 2008.---T.p. verso.

Integrable Systems and Algebraic Geometry

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Publisher : Cambridge University Press
ISBN 13 : 110871577X
Total Pages : 537 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Integrable Systems and Algebraic Geometry by : Ron Donagi

Download or read book Integrable Systems and Algebraic Geometry written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-03-02 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Integrable Systems and Algebraic Geometry: Volume 2

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Publisher : Cambridge University Press
ISBN 13 : 1108805337
Total Pages : 537 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Integrable Systems and Algebraic Geometry: Volume 2 by : Ron Donagi

Download or read book Integrable Systems and Algebraic Geometry: Volume 2 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. The articles in this second volume discuss areas related to algebraic geometry, emphasizing the connections of this central subject to integrable systems, arithmetic geometry, Riemann surfaces, coding theory and lattice theory.

Integrable Systems and Algebraic Geometry: Volume 1

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Publisher : Cambridge University Press
ISBN 13 : 110880358X
Total Pages : 421 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Integrable Systems and Algebraic Geometry: Volume 1 by : Ron Donagi

Download or read book Integrable Systems and Algebraic Geometry: Volume 1 written by Ron Donagi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

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Publisher : Cambridge University Press
ISBN 13 : 1108187021
Total Pages : 513 pages
Book Rating : 4.1/5 (81 download)

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Book Synopsis Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents by : Kevin Broughan

Download or read book Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents written by Kevin Broughan and published by Cambridge University Press. This book was released on 2017-11-02 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.

Algebraic Aspects of the Advanced Encryption Standard

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Publisher : Springer Science & Business Media
ISBN 13 : 0387368426
Total Pages : 145 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Algebraic Aspects of the Advanced Encryption Standard by : Carlos Cid

Download or read book Algebraic Aspects of the Advanced Encryption Standard written by Carlos Cid and published by Springer Science & Business Media. This book was released on 2006-11-24 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Belgian block cipher Rijndael was chosen in 2000 by the U.S. government’s National Institute of Standards and Technology (NIST) to be the successor to the Data Encryption Standard. Rijndael was subsequently standardized as the Advanced Encryption Standard (AES), which is potentially the world’s most important block cipher. In 2002, some new analytical techniques were suggested that may have a dramatic effect on the security of the AES. Existing analytical techniques for block ciphers depend heavily on a statistical approach, whereas these new techniques are algebraic in nature. Algebraic Aspects of the Advanced Encryption Standard, appearing five years after publication of the AES, presents the state of the art for the use of such algebraic techniques in analyzing the AES. The primary audience for this work includes academic and industry researchers in cryptology; the book is also suitable for advanced-level students.

Algebraic Methods for Signal Processing and Communications Coding

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Publisher : Springer Science & Business Media
ISBN 13 : 1461228263
Total Pages : 150 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Algebraic Methods for Signal Processing and Communications Coding by : Richard E. Blahut

Download or read book Algebraic Methods for Signal Processing and Communications Coding written by Richard E. Blahut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Algorithmic Information Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3540332197
Total Pages : 446 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Algorithmic Information Theory by : Peter Seibt

Download or read book Algorithmic Information Theory written by Peter Seibt and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithmic Information Theory treats the mathematics of many important areas in digital information processing. It has been written as a read-and-learn book on concrete mathematics, for teachers, students and practitioners in electronic engineering, computer science and mathematics. The presentation is dense, and the examples and exercises are numerous. It is based on lectures on information technology (Data Compaction, Cryptography, Polynomial Coding) for engineers.

Transitions from Digital Communications to Quantum Communications

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Publisher : John Wiley & Sons
ISBN 13 : 1848219253
Total Pages : 240 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Transitions from Digital Communications to Quantum Communications by : Malek Benslama

Download or read book Transitions from Digital Communications to Quantum Communications written by Malek Benslama and published by John Wiley & Sons. This book was released on 2016-07-18 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the move towards quantum communications, in light of the recent technological developments on photonic crystals and their potential applications in systems. The authors present the state of the art on extensive quantum communications, the first part of the book being dedicated to the relevant theory; quantum gates such as Deutsch gates, Toffoli gates and Dedekind gates are reviewed with regards to their feasibility as electronic circuits and their implementation in systems, and a comparison is performed in parallel with conventional circuits such as FPGAs and DSPs. The specifics of quantum communication are also revealed through the entanglement and Bell states, and mathematical and physical aspects of quantum optical fibers and photonic crystals are considered in order to optimize the quantum transmissions. These concepts are linked with relevant, practical examples in the second part of the book, which presents six integrated applications for quantum communications.

Youngsters Solving Mathematical Problems with Technology

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Publisher : Springer
ISBN 13 : 331924910X
Total Pages : 269 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Youngsters Solving Mathematical Problems with Technology by : Susana Carreira

Download or read book Youngsters Solving Mathematical Problems with Technology written by Susana Carreira and published by Springer. This book was released on 2016-02-19 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.

Elements of Algebraic Coding Systems

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Author :
Publisher : Momentum Press
ISBN 13 : 1606505750
Total Pages : 208 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis Elements of Algebraic Coding Systems by : Valdemar Cardoso da Rocha, Jr.

Download or read book Elements of Algebraic Coding Systems written by Valdemar Cardoso da Rocha, Jr. and published by Momentum Press. This book was released on 2014-07-31 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Algebraic Coding Systems is an introductory text to algebraic coding theory. In the first chapter, you’ll gain inside knowledge of coding fundamentals, which is essential for a deeper understanding of state-of-the-art coding systems. This book is a quick reference for those who are unfamiliar with this topic, as well as for use with specific applications such as cryptography and communication. Linear error-correcting block codes through elementary principles span eleven chapters of the text. Cyclic codes, some finite field algebra, Goppa codes, algebraic decoding algorithms, and applications in public-key cryptography and secret-key cryptography are discussed, including problems and solutions at the end of each chapter. Three appendices cover the Gilbert bound and some related derivations, a derivation of the Mac- Williams’ identities based on the probability of undetected error, and two important tools for algebraic decoding—namely, the finite field Fourier transform and the Euclidean algorithm for polynomials.

Advances in Information and Communication

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Publisher : Springer Nature
ISBN 13 : 3031540530
Total Pages : 721 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Advances in Information and Communication by : Kohei Arai

Download or read book Advances in Information and Communication written by Kohei Arai and published by Springer Nature. This book was released on with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt:

From Algebraic Structures to Tensors

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Publisher : John Wiley & Sons
ISBN 13 : 1786301547
Total Pages : 324 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis From Algebraic Structures to Tensors by : Gérard Favier

Download or read book From Algebraic Structures to Tensors written by Gérard Favier and published by John Wiley & Sons. This book was released on 2020-01-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays, tensors play a central role for the representation, mining, analysis, and fusion of multidimensional, multimodal, and heterogeneous big data in numerous fields. This set on Matrices and Tensors in Signal Processing aims at giving a self-contained and comprehensive presentation of various concepts and methods, starting from fundamental algebraic structures to advanced tensor-based applications, including recently developed tensor models and efficient algorithms for dimensionality reduction and parameter estimation. Although its title suggests an orientation towards signal processing, the results presented in this set will also be of use to readers interested in other disciplines. This first book provides an introduction to matrices and tensors of higher-order based on the structures of vector space and tensor space. Some standard algebraic structures are first described, with a focus on the hilbertian approach for signal representation, and function approximation based on Fourier series and orthogonal polynomial series. Matrices and hypermatrices associated with linear, bilinear and multilinear maps are more particularly studied. Some basic results are presented for block matrices. The notions of decomposition, rank, eigenvalue, singular value, and unfolding of a tensor are introduced, by emphasizing similarities and differences between matrices and tensors of higher-order.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540510826
Total Pages : 428 pages
Book Rating : 4.5/5 (18 download)

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Book Synopsis Applied Algebra, Algebraic Algorithms and Error-Correcting Codes by : Llorenc Huguet

Download or read book Applied Algebra, Algebraic Algorithms and Error-Correcting Codes written by Llorenc Huguet and published by Springer Science & Business Media. This book was released on 1989-06-14 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the proceedings of the AAECC-5 Conference held at Menorca (Balearic Islands), June 15-19, 1987. The annual International AAECC Conference covers a range of topics related to Applied Algebra, Error-Correcting Codes, Finite Algebraic Structures, Computational Methods and Complexity in Algebra and Geometry. For the AAECC-5 Conference 73 papers were presented. Out of these thirty papers were selected for publication in the proceedings. They deal with topics such as error correcting codes (concerning problems of covering radius, decoding methods, expert systems and general results in coding theory), computational algebra, Gröbner basis, complexity, finite algebra and graphs. The proceedings of the 6th conference are published as Vol. 357 of the Lecture Notes in Computer Science.

Algebraic Codes for Data Transmission

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Publisher : Cambridge University Press
ISBN 13 : 1139435078
Total Pages : 617 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Algebraic Codes for Data Transmission by : Richard E. Blahut

Download or read book Algebraic Codes for Data Transmission written by Richard E. Blahut and published by Cambridge University Press. This book was released on 2003-02-06 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to transmit and store massive amounts of data reliably and without error is a vital part of modern communications systems. Error-correcting codes play a fundamental role in minimising data corruption caused by defects such as noise, interference, crosstalk and packet loss. This book provides an accessible introduction to the basic elements of algebraic codes, and discusses their use in a variety of applications. The author describes a range of important coding techniques, including Reed-Solomon codes, BCH codes, trellis codes, and turbocodes. Throughout the book, mathematical theory is illustrated by reference to many practical examples. The book was first published in 2003 and is aimed at graduate students of electrical and computer engineering, and at practising engineers whose work involves communications or signal processing.

Handbook on Satellite Communications

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Publisher : John Wiley & Sons
ISBN 13 : 0471221899
Total Pages : 1123 pages
Book Rating : 4.4/5 (712 download)

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Book Synopsis Handbook on Satellite Communications by : International Telecommunications Union

Download or read book Handbook on Satellite Communications written by International Telecommunications Union and published by John Wiley & Sons. This book was released on 2002-04-04 with total page 1123 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential overview of satellite communications from the organization that sets the international standards Since their introduction in the mid-1960s, satellite communications have grown from a futuristic experiment into an integral part of today's "wired world." Satellite communications are at the core of a global, automatically switched telephony network. Assembled by the International Telecommunication Union--the international organization that sets the standards for this rapidly growing industry--the Handbook on Satellite Communications, Third Edition brings together basic facts about satellite communications as related to the fixed-satellite service (FSS). It covers the main principles, technologies, and operation of equipment in a tutorial form. Updated to include the latest technologies and information, the Third Edition provides both the standards and technical information needed to implement and interact with satellite communication systems, including: * The components and basic characteristics of a satellite communication system * Regulatory considerations and system planning * SDH and ATM satellite transmissions * Analog and digital baseband signal processing and multiplexing * Carrier modulation techniques * Geostationary and non-geostationary systems * Interconnection of satellite and terrestrial networks * LEOS satellite networks and other recent developments As digital modulation and transmission replace analog techniques, and as satellites in non-geostationary and lower-altitude orbits open the way to new applications, satellite communications will continue to grow in use and importance. Everyone involved in the administration and operation of satellite communications will find this a crucial resource.

Error-Control Coding for Data Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 146155005X
Total Pages : 554 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Error-Control Coding for Data Networks by : Irving S. Reed

Download or read book Error-Control Coding for Data Networks written by Irving S. Reed and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Error-Control Coding for Data Networks is to provide an accessible and comprehensive overview of the fundamental techniques and practical applications of the error-control coding needed by students and engineers. An additional purpose of the book is to acquaint the reader with the analytical techniques used to design an error-control coding system for many new applications in data networks. Error~control coding is a field in which elegant theory was motivated by practical problems so that it often leads to important useful advances. Claude Shannon in 1948 proved the existence of error-control codes that, under suitable conditions and at rates less than channel capacity, would transmit error-free information for all practical applications. The first practical binary codes were introduced by Richard Hamming and Marcel Golay from which the drama and excitement have infused researchers and engineers in digital communication and error-control coding for more than fifty years. Nowadays, error-control codes are being used in almost all modem digital electronic systems and data networks. Not only is coding equipment being implemented to increase the energy and bandwidth efficiency of communication systems, but coding also provides innovative solutions to many related data-networking problems.