Advanced Topics In Shannon Sampling And Interpolation Theory


Advanced Topics In Shannon Sampling And Interpolation Theory
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Advanced Topics In Shannon Sampling And Interpolation Theory


Advanced Topics In Shannon Sampling And Interpolation Theory
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Author : Robert J.II Marks
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Advanced Topics In Shannon Sampling And Interpolation Theory written by Robert J.II Marks 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.


Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.



Advanced Topics In Shannon Sampling And Interpolation Theory


Advanced Topics In Shannon Sampling And Interpolation Theory
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Author : Robert J.II Marks
language : en
Publisher: Springer
Release Date : 1992-12-18

Advanced Topics In Shannon Sampling And Interpolation Theory written by Robert J.II Marks and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-18 with Technology & Engineering categories.


Advanced Topics in Shannon Sampling and Interpolation Theory is the second volume of a textbook on signal analysis solely devoted to the topic of sampling and restoration of continuous time signals and images. Sampling and reconstruction are fundamental problems in any field that deals with real-time signals or images, including communication engineering, image processing, seismology, speech recognition, and digital signal processing. This second volume includes contributions from leading researchers in the field on such topics as Gabor's signal expansion, sampling in optical image formation, linear prediction theory, polar and spiral sampling theory, interpolation from nonuniform samples, an extension of Papoulis's generalized sampling expansion to higher dimensions, and applications of sampling theory to optics and to time-frequency representations. The exhaustive bibliography on Shannon sampling theory will make this an invaluable research tool as well as an excellent text for students planning further research in the field.



Advances In Shannon S Sampling Theory


Advances In Shannon S Sampling Theory
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Author : AhmedI. Zayed
language : en
Publisher: Routledge
Release Date : 2018-04-24

Advances In Shannon S Sampling Theory written by AhmedI. Zayed and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-24 with Mathematics categories.


Advances in Shannon's Sampling Theory provides an up-to-date discussion of sampling theory, emphasizing the interaction between sampling theory and other branches of mathematical analysis, including the theory of boundary-value problems, frames, wavelets, multiresolution analysis, special functions, and functional analysis. The author not only traces the history and development of the theory, but also presents original research and results that have never before appeared in book form. Recent techniques covered include the Feichtinger-Gröchenig sampling theory; frames, wavelets, multiresolution analysis and sampling; boundary-value problems and sampling theorems; and special functions and sampling theorems. The book will interest graduate students and professionals in electrical engineering, communications, and applied mathematics.



Introduction To Shannon Sampling And Interpolation Theory


Introduction To Shannon Sampling And Interpolation Theory
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Author : Robert J. Marks
language : en
Publisher:
Release Date : 1991

Introduction To Shannon Sampling And Interpolation Theory written by Robert J. Marks and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.




Sampling Theory And Applications


Sampling Theory And Applications
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Author : Stephen D. Casey
language : en
Publisher: Springer Nature
Release Date : 2020-05-20

Sampling Theory And Applications written by Stephen D. Casey and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-20 with Mathematics categories.


The chapters of this volume are based on talks given at the eleventh international Sampling Theory and Applications conference held in 2015 at American University in Washington, D.C. The papers highlight state-of-the-art advances and trends in sampling theory and related areas of application, such as signal and image processing. Chapters have been written by prominent mathematicians, applied scientists, and engineers with an expertise in sampling theory. Claude Shannon’s 100th birthday is also celebrated, including an introductory essay that highlights Shannon’s profound influence on the field. The topics covered include both theory and applications, such as: • Compressed sensing• Non-uniform and wave sampling• A-to-D conversion• Finite rate of innovation• Time-frequency analysis• Operator theory• Mobile sampling issues Sampling: Theory and Applications is ideal for mathematicians, engineers, and applied scientists working in sampling theory or related areas.



Sampling Theory In Fourier And Signal Analysis Advanced Topics


Sampling Theory In Fourier And Signal Analysis Advanced Topics
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Author : J. R. Higgins
language : en
Publisher: Oxford University Press
Release Date : 1999-11-25

Sampling Theory In Fourier And Signal Analysis Advanced Topics written by J. R. Higgins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-25 with Mathematics categories.


Volume 1 in this series laid the mathematical foundations of sampling theory; Volume 2 surveys the many applications of the theory both within mathematics and in other areas of science. Topics range over a wide variety of areas, and each application is given a modern treatment.



Advances In Imaging And Electron Physics


Advances In Imaging And Electron Physics
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Author : Peter W. Hawkes
language : en
Publisher: Elsevier
Release Date : 2002-11-04

Advances In Imaging And Electron Physics written by Peter W. Hawkes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-04 with Technology & Engineering categories.


Advances in Imaging and Electron Physics merges two long-running serials--Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains.



Nonuniform Sampling


Nonuniform Sampling
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Author : Farokh Marvasti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonuniform Sampling written by Farokh Marvasti 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.


Our understanding of nature is often through nonuniform observations in space or time. In space, one normally observes the important features of an object, such as edges. The less important features are interpolated. History is a collection of important events that are nonuniformly spaced in time. Historians infer between events (interpolation) and politicians and stock market analysts forecast the future from past and present events (extrapolation). The 20 chapters of Nonuniform Sampling: Theory and Practice contain contributions by leading researchers in nonuniform and Shannon sampling, zero crossing, and interpolation theory. Its practical applications include NMR, seismology, speech and image coding, modulation and coding, optimal content, array processing, and digital filter design. It has a tutorial outlook for practising engineers and advanced students in science, engineering, and mathematics. It is also a useful reference for scientists and engineers working in the areas of medical imaging, geophysics, astronomy, biomedical engineering, computer graphics, digital filter design, speech and video processing, and phased array radar.



Broadcasting And Optical Communication Technology


Broadcasting And Optical Communication Technology
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Author : Richard C. Dorf
language : en
Publisher: CRC Press
Release Date : 2017-12-19

Broadcasting And Optical Communication Technology written by Richard C. Dorf and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Technology & Engineering categories.


In two editions spanning more than a decade, The Electrical Engineering Handbook stands as the definitive reference to the multidisciplinary field of electrical engineering. Our knowledge continues to grow, and so does the Handbook. For the third edition, it has been expanded into a set of six books carefully focused on a specialized area or field of study. Broadcasting and Optical Communication Technology represents a concise yet definitive collection of key concepts, models, and equations in the fields of broadcasting and optical communication, thoughtfully gathered for convenient access. Addressing the challenges involved in modern communications networks, Broadcasting and Optical Communication Technology explores communications, information theory, and devices, covering all the basic information needed for a thorough understanding of these areas. It also examines the emerging areas of adaptive estimation and optical communication, including lightwave technology, long-distance fiber optic communications, and photonic networks. Articles include defining terms, references, and sources of further information. Encompassing the work of the world's foremost experts in their respective specialties, Broadcasting and Optical Communication Technology presents the latest developments, the broadest scope of coverage, and new material on mobile communications. It offers fast, convenient access to specialists in need of detailed reference on the job.



Lattice Point Identities And Shannon Type Sampling


Lattice Point Identities And Shannon Type Sampling
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Author : Willi Freeden
language : en
Publisher: CRC Press
Release Date : 2019-10-28

Lattice Point Identities And Shannon Type Sampling written by Willi Freeden and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-28 with Technology & Engineering categories.


Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle problem of the early nineteenth century, via the classical Hardy-Landau lattice point identity and the Hardy conjecture of the first half of the twentieth century, and the Shannon sampling theorem (its variants, generalizations and the fascinating stories about the cardinal series) of the second half of the twentieth century. The authors demonstrate how all these facets have resulted in new multivariate extensions of lattice point identities and Shannon-type sampling procedures of high practical applicability, thereby also providing a general reproducing kernel Hilbert space structure of an associated Paley-Wiener theory over (potato-like) bounded regions (cf. the cover illustration of the geoid), as well as the whole Euclidean space. All in all, the context of this book represents the fruits of cross-fertilization of various subjects, namely elliptic partial differential equations, Fourier inversion theory, constructive approximation involving Euler and Poisson summation formulas, inverse problems reflecting the multivariate antenna problem, and aspects of analytic and geometric number theory. Features: New convergence criteria for alternating series in multi-dimensional analysis Self-contained development of lattice point identities of analytic number theory Innovative lattice point approach to Shannon sampling theory Useful for students of multivariate constructive approximation, and indeed anyone interested in the applicability of signal processing to inverse problems.