[PDF] Advanced Topics In Shannon Sampling And Interpolation Theory eBook

Author : Robert J.II Marks
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 23,60 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 146139757X

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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.

Author : Robert J.II Marks
Publisher : Springer
Page : 360 pages
File Size : 16,57 MB
Release : 1992-12-18
Category : Technology & Engineering
ISBN : 9780387979069

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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.

Author : AhmedI. Zayed
Publisher : Routledge
Page : 334 pages
File Size : 35,47 MB
Release : 2018-04-24
Category : Mathematics
ISBN : 1351468200

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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.

Author : AhmedI. Zayed
Publisher : Routledge
Page : 356 pages
File Size : 22,49 MB
Release : 2018-04-24
Category : Mathematics
ISBN : 1351468197

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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.

Author : Robert J. II Marks
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 48,98 MB
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 1461397081

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Much of that which is ordinal is modeled as analog. Most computational engines on the other hand are dig- ital. Transforming from analog to digital is straightforward: we simply sample. Regaining the original signal from these samples or assessing the information lost in the sampling process are the fundamental questions addressed by sampling and interpolation theory. This book deals with understanding, generalizing, and extending the cardinal series of Shannon sampling theory. The fundamental form of this series states, remarkably, that a bandlimited signal is uniquely specified by its sufficiently close equally spaced samples. The contents of this book evolved from a set of lecture notes prepared for a graduate survey course on Shannon sampling and interpolation theory. The course was taught at the Department of Electrical Engineering at the University of Washington, Seattle. Each of the seven chapters in this book includes a list of references specific to that chapter. A sequel to this book will contain an extensive bibliography on the subject. The author has also opted to include solutions to selected exercises in the Appendix.

Author : Stephen D. Casey
Publisher : Springer Nature
Page : 210 pages
File Size : 22,5 MB
Release : 2020-05-20
Category : Mathematics
ISBN : 3030362914

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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.

Author : Xiaoping Shen
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 40,70 MB
Release : 2012-09-18
Category : Technology & Engineering
ISBN : 1461441447

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Multiscale Signal Analysis and Modeling presents recent advances in multiscale analysis and modeling using wavelets and other systems. This book also presents applications in digital signal processing using sampling theory and techniques from various function spaces, filter design, feature extraction and classification, signal and image representation/transmission, coding, nonparametric statistical signal processing, and statistical learning theory.

Author : Richard C. Dorf
Publisher : CRC Press
Page : 790 pages
File Size : 43,80 MB
Release : 2017-12-19
Category : Technology & Engineering
ISBN : 1351838059

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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.

Author : Willi Freeden
Publisher : CRC Press
Page : 325 pages
File Size : 41,39 MB
Release : 2019-10-28
Category : Technology & Engineering
ISBN : 1000756521

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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.