Codes Curves And Signals
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Codes Curves And Signals
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Author : Alexander Vardy
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Codes Curves And Signals written by Alexander Vardy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Codes, Curves, and Signals: Common Threads in Communications is a collection of seventeen contributions from leading researchers in communications. The book provides a representative cross-section of cutting edge contemporary research in the fields of algebraic curves and the associated decoding algorithms, the use of signal processing techniques in coding theory, and the application of information-theoretic methods in communications and signal processing. The book is organized into three parts: Curves and Codes, Codes and Signals, and Signals and Information. Codes, Curves, and Signals: Common Threads in Communications is a tribute to the broad and profound influence of Richard E. Blahut on the fields of algebraic coding, information theory, and digital signal processing. All the contributors have individually and collectively dedicated their work to R. E. Blahut. Codes, Curves, and Signals: Common Threads in Communications is an excellent reference for researchers and professionals.
Algebraic Codes On Lines Planes And Curves
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Author : Richard E. Blahut
language : en
Publisher: Cambridge University Press
Release Date : 2008-04-03
Algebraic Codes On Lines Planes And Curves written by Richard E. Blahut and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-03 with Technology & Engineering categories.
The past few years have witnessed significant developments in algebraic coding theory. This book provides an advanced treatment of the subject from an engineering perspective, covering the basic principles and their application in communications and signal processing. Emphasis is on codes defined on the line, on the plane, and on curves, with the core ideas presented using commutative algebra and computational algebraic geometry made accessible using the Fourier transform. Starting with codes defined on a line, a background framework is established upon which the later chapters concerning codes on planes, and on curves, are developed. The decoding algorithms are developed using the standard engineering approach applied to those of Reed-Solomon codes, enabling them to be evaluated against practical applications. Integrating recent developments in the field into the classical treatment of algebraic coding, this is an invaluable resource for graduate students and researchers in telecommunications and applied mathematics.
Signal Coding And Processing
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Author : Graham Wade
language : en
Publisher: Cambridge University Press
Release Date : 1994-09-08
Signal Coding And Processing written by Graham Wade and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-08 with Computers categories.
This comprehensive text is a revised and greatly expanded second edition of a book first published in 1987, and provides a thorough introduction to the complex fields of signal coding and signal processing. Among the key topics covered are: the fundamentals of pulse code modulation; modern data compression techniques; block and convolutional error control codes; transmission coding techniques; digital filters; infinite and finite impulse response filters; adaptive filters; and fast Fourier transform theory, implementation and applications. Complete with problems and solutions, and containing over 230 diagrams, this textbook will be invaluable to third and fourth year undergraduates in electronic, electrical or communication engineering. It will also act as a useful reference for anyone working in this technologically important field.
Codes And Curves
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Author : Judy L. Walker
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Codes And Curves written by Judy L. Walker and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
When information is transmitted, errors are likely to occur. Coding theory examines efficient ways of packaging data so that these errors can be detected, or even corrected. The traditional tools of coding theory have come from combinatorics and group theory. Lately, however, coding theorists have added techniques from algebraic geometry to their toolboxes. In particular, by re-interpreting the Reed-Solomon codes, one can see how to define new codes based on divisors on algebraic curves. For instance, using modular curves over finite fields, Tsfasman, Vladut, and Zink showed that one can define a sequence of codes with asymptotically better parameters than any previously known codes. This monograph is based on a series of lectures the author gave as part of the IAS/PCMI program on arithmetic algebraic geometry. Here, the reader is introduced to the exciting field of algebraic geometric coding theory. Presenting the material in the same conversational tone of the lectures, the author covers linear codes, including cyclic codes, and both bounds and asymptotic bounds on the parameters of codes. Algebraic geometry is introduced, with particular attention given to projective curves, rational functions and divisors. The construction of algebraic geometric codes is given, and the Tsfasman-Vladut-Zink result mentioned above is discussed.
Advances In Algebraic Geometry Codes
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Author :
language : en
Publisher:
Release Date :
Advances In Algebraic Geometry Codes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Codes Cryptology And Curves With Computer Algebra
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Author : Ruud Pellikaan
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-02
Codes Cryptology And Curves With Computer Algebra written by Ruud Pellikaan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with Language Arts & Disciplines categories.
Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.
Digital Signal Processing
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Author : Salvatore Morgera
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Digital Signal Processing written by Salvatore Morgera and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.
Digital Signal Processing: Applications to Communications and Algebraic Coding Theories discusses the design of computationally efficient digital signal processing algorithms over finite fields and the relation of these algorithms to algebraic error-correcting codes. The book provides chapters that cover such topics as signal processing techniques employed for modeling, synthesis, and analysis; systems of bilinear forms; efficient finite field algorithms; the design and study of long length cyclic convolutions and some preliminary results on their relation to linear codes; the study of the algebraic structure of the class of linear codes obtained from bilinear cyclic and aperiodic convolution algorithms over the finite field of interest; and the concept of a generalized hybrid Automatic- Repeat-Request (ARQ) scheme for adaptive error control in digital communication systems. Engineers, mathematicians, and computer scientists will find the text invaluable.
Algebraic Codes For Data Transmission
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Author : Richard E. Blahut
language : en
Publisher: Cambridge University Press
Release Date : 2003-02-06
Algebraic Codes For Data Transmission written by Richard E. Blahut and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-06 with Technology & Engineering categories.
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.
Applications Of Algebra To Communications Control And Signal Processing
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Author : Nigel Boston
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23
Applications Of Algebra To Communications Control And Signal Processing written by Nigel Boston and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Technology & Engineering categories.
Over the last 50 years there have been an increasing number of applications of algebraic tools to solve problems in communications, in particular in the fields of error-control codes and cryptography. More recently, broader applications have emerged, requiring quite sophisticated algebra - for example, the Alamouti scheme in MIMO communications is just Hamilton's quaternions in disguise and has spawned the use of PhD-level algebra to produce generalizations. Likewise, in the absence of credible alternatives, the industry has in many cases been forced to adopt elliptic curve cryptography. In addition, algebra has been successfully applied to problems in signal processing such as face recognition, biometrics, control design, and signal design for radar. This book introduces the reader to the algebra they need to appreciate these developments and to various problems solved by these techniques.
Code Of Federal Regulations
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Author :
language : en
Publisher:
Release Date : 1949
Code Of Federal Regulations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with Administrative law categories.