Sampling Approximation And Signal Analysis

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Sampling, Approximation, and Signal Analysis

Author : Stephen D. Casey
Publisher : Springer Nature
ISBN 13 : 3031411307
Total Pages : 580 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Sampling, Approximation, and Signal Analysis by : Stephen D. Casey

Download or read book Sampling, Approximation, and Signal Analysis written by Stephen D. Casey and published by Springer Nature. This book was released on 2024-01-04 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.

Sampling Theory in Fourier and Signal Analysis: Advanced Topics

Author : J. R. Higgins
Publisher : Oxford University Press
ISBN 13 : 9780198534969
Total Pages : 320 pages
Book Rating : 4.5/5 (349 download)

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Book Synopsis Sampling Theory in Fourier and Signal Analysis: Advanced Topics by : J. R. Higgins

Download or read book Sampling Theory in Fourier and Signal Analysis: Advanced Topics written by J. R. Higgins and published by Oxford University Press. This book was released on 1999-11-25 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Perspectives on Approximation and Sampling Theory

Author : Ahmed I. Zayed
Publisher : Springer
ISBN 13 : 3319088017
Total Pages : 487 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis New Perspectives on Approximation and Sampling Theory by : Ahmed I. Zayed

Download or read book New Perspectives on Approximation and Sampling Theory written by Ahmed I. Zayed and published by Springer. This book was released on 2014-11-03 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paul Butzer, who is considered the academic father and grandfather of many prominent mathematicians, has established one of the best schools in approximation and sampling theory in the world. He is one of the leading figures in approximation, sampling theory, and harmonic analysis. Although on April 15, 2013, Paul Butzer turned 85 years old, remarkably, he is still an active research mathematician. In celebration of Paul Butzer’s 85th birthday, New Perspectives on Approximation and Sampling Theory is a collection of invited chapters on approximation, sampling, and harmonic analysis written by students, friends, colleagues, and prominent active mathematicians. Topics covered include approximation methods using wavelets, multi-scale analysis, frames, and special functions. New Perspectives on Approximation and Sampling Theory requires basic knowledge of mathematical analysis, but efforts were made to keep the exposition clear and the chapters self-contained. This volume will appeal to researchers and graduate students in mathematics, applied mathematics and engineering, in particular, engineers working in signal and image processing.

Modern Sampling Theory

Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1461201438
Total Pages : 423 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modern Sampling Theory by : John J. Benedetto

Download or read book Modern Sampling Theory written by John J. Benedetto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: A state-of-the-art edited survey covering all aspects of sampling theory. Theory, methods and applications are discussed in authoritative expositions ranging from multi-dimensional signal analysis to wavelet transforms. The book is an essential up-to-date resource.

Advanced Topics in Shannon Sampling and Interpolation Theory

Author : Robert J.II Marks
Publisher : Springer Science & Business Media
ISBN 13 : 146139757X
Total Pages : 364 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Advanced Topics in Shannon Sampling and Interpolation Theory by : Robert J.II Marks

Download or read book Advanced Topics in Shannon Sampling and Interpolation Theory written by Robert J.II Marks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Shannon Sampling and Interpolation Theory

Author : Robert J. II Marks
Publisher : Springer Science & Business Media
ISBN 13 : 1461397081
Total Pages : 336 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Introduction to Shannon Sampling and Interpolation Theory by : Robert J. II Marks

Download or read book Introduction to Shannon Sampling and Interpolation Theory written by Robert J. II Marks and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sampling: Theory and Applications

Author : Stephen D. Casey
Publisher : Springer Nature
ISBN 13 : 3030362914
Total Pages : 210 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Sampling: Theory and Applications by : Stephen D. Casey

Download or read book Sampling: Theory and Applications written by Stephen D. Casey and published by Springer Nature. This book was released on 2020-05-20 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Wavelets, and Tomography

Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 0817682120
Total Pages : 358 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Sampling, Wavelets, and Tomography by : John J. Benedetto

Download or read book Sampling, Wavelets, and Tomography written by John J. Benedetto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their interdependence and led to some new and interesting results in the field. This state-of-the-art book not only presents new results in these research areas, but it also demonstrates the role of sampling in both wavelet theory and tomography. Specific topics covered include: * Robustness of Regular Sampling in Sobolev Algebras * Irregular and Semi-Irregular Weyl-Heisenberg Frames * Adaptive Irregular Sampling in Meshfree Flow Simulation * Sampling Theorems for Non-Bandlimited Signals * Polynomial Matrix Factorization, Multidimensional Filter Banks, and Wavelets * Generalized Frame Multiresolution Analysis of Abstract Hilbert Spaces * Sampling Theory and Parallel-Beam Tomography * Thin-Plate Spline Interpolation in Medical Imaging * Filtered Back-Projection Algorithms for Spiral Cone Computed Tomography Aimed at mathematicians, scientists, and engineers working in signal and image processing and medical imaging, the work is designed to be accessible to an audience with diverse mathematical backgrounds. Although the volume reflects the contributions of renowned mathematicians and engineers, each chapter has an expository introduction written for the non-specialist. One of the key features of the book is an introductory chapter stressing the interdependence of the three main areas covered. A comprehensive index completes the work. Contributors: J.J. Benedetto, N.K. Bose, P.G. Casazza, Y.C. Eldar, H.G. Feichtinger, A. Faridani, A. Iske, S. Jaffard, A. Katsevich, S. Lertrattanapanich, G. Lauritsch, B. Mair, M. Papadakis, P.P. Vaidyanathan, T. Werther, D.C. Wilson, A.I. Zayed

Nonuniform Sampling

Author : Farokh Marvasti
Publisher : Springer Science & Business Media
ISBN 13 : 1461512298
Total Pages : 938 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Nonuniform Sampling by : Farokh Marvasti

Download or read book Nonuniform Sampling written by Farokh Marvasti and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multiscale Signal Analysis and Modeling

Author : Xiaoping Shen
Publisher : Springer Science & Business Media
ISBN 13 : 1461441447
Total Pages : 388 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Multiscale Signal Analysis and Modeling by : Xiaoping Shen

Download or read book Multiscale Signal Analysis and Modeling written by Xiaoping Shen and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sampling in Digital Signal Processing and Control

Author : Arie Feuer
Publisher : Springer Science & Business Media
ISBN 13 : 1461224608
Total Pages : 570 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Sampling in Digital Signal Processing and Control by : Arie Feuer

Download or read book Sampling in Digital Signal Processing and Control written by Arie Feuer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undoubtably one of the key factors influencing recent technology has been the advent of high speed computational tools. Virtually every advanced engi neering system we come in contact with these days depends upon some form of sampling and digital signal processing. Well known examples are digital tele phone systems, digital recording of audio signals and computer control. These developments have been matched by the appearance of a plethora of books which explain a variety of analysis, synthesis and design tools applica ble to sampled-data systems. The reader might therefore wonder what is distinc tive about the current book. Our observation of the existing literature is that the underlying continuous-time system is usually forgotten once the samples are tak en. The alternative point of view, adopted in this book, is to formulate the analy sis in such a way that the user is constantly reminded of the presence of the under lying continuous-time signals. We thus give emphasis to two aspects of sampled-data analysis: Firstly, we formulate the various algorithms so that the appropriate contin uous-time case is approached as the sampling rate increases. Secondly we place emphasis on the continuous-time output response rath er than simply focusing on the sampled response.

Sampling Theory

Author : Yonina C. Eldar
Publisher : Cambridge University Press
ISBN 13 : 1107003393
Total Pages : 837 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Sampling Theory by : Yonina C. Eldar

Download or read book Sampling Theory written by Yonina C. Eldar and published by Cambridge University Press. This book was released on 2015-04-09 with total page 837 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to sampling for engineers, covering the fundamental mathematical underpinnings together with practical engineering principles and applications.

Advances in Shannon's Sampling Theory

Author : AhmedI. Zayed
Publisher : Routledge
ISBN 13 : 1351468197
Total Pages : 356 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Advances in Shannon's Sampling Theory by : AhmedI. Zayed

Download or read book Advances in Shannon's Sampling Theory written by AhmedI. Zayed and published by Routledge. This book was released on 2018-04-24 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattice Point Identities and Shannon-Type Sampling

Author : Willi Freeden
Publisher : CRC Press
ISBN 13 : 1000757749
Total Pages : 184 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Lattice Point Identities and Shannon-Type Sampling by : Willi Freeden

Download or read book Lattice Point Identities and Shannon-Type Sampling written by Willi Freeden and published by CRC Press. This book was released on 2019-10-28 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Sampling Theory

Author : John Benedetto
Publisher : Birkhauser
ISBN 13 : 9783764340230
Total Pages : 417 pages
Book Rating : 4.3/5 (42 download)

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Book Synopsis Modern Sampling Theory by : John Benedetto

Download or read book Modern Sampling Theory written by John Benedetto and published by Birkhauser. This book was released on 2001-01-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Shannon Sampling and Interpolation Theory

Author : Robert J II Marks
Publisher :
ISBN 13 : 9781461397090
Total Pages : 346 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Introduction to Shannon Sampling and Interpolation Theory by : Robert J II Marks

Download or read book Introduction to Shannon Sampling and Interpolation Theory written by Robert J II Marks and published by . This book was released on 1990-11-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sampling Theory, a Renaissance

Author : Götz E. Pfander
Publisher : Birkhäuser
ISBN 13 : 9783319792866
Total Pages : 0 pages
Book Rating : 4.7/5 (928 download)

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Book Synopsis Sampling Theory, a Renaissance by : Götz E. Pfander

Download or read book Sampling Theory, a Renaissance written by Götz E. Pfander and published by Birkhäuser. This book was released on 2019-03-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstructing or approximating objects from seemingly incomplete information is a frequent challenge in mathematics, science, and engineering. A multitude of tools designed to recover hidden information are based on Shannon’s classical sampling theorem, a central pillar of Sampling Theory. The growing need to efficiently obtain precise and tailored digital representations of complex objects and phenomena requires the maturation of available tools in Sampling Theory as well as the development of complementary, novel mathematical theories. Today, research themes such as Compressed Sensing and Frame Theory re-energize the broad area of Sampling Theory. This volume illustrates the renaissance that the area of Sampling Theory is currently experiencing. It touches upon trendsetting areas such as Compressed Sensing, Finite Frames, Parametric Partial Differential Equations, Quantization, Finite Rate of Innovation, System Theory, as well as sampling in Geometry and Algebraic Topology.