Sampling Theory A Renaissance

Author : Götz E. Pfander
Publisher : Birkhäuser
ISBN 13 : 3319197495
Total Pages : 532 pages
Book Rating : 4.94/5 ( download)

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Download or read book Sampling Theory, a Renaissance written by Götz E. Pfander and published by Birkhäuser. This book was released on 2015-12-08 with total page 532 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.

Author : Antonio García García
Publisher : Springer Nature
ISBN 13 : 3031632427
Total Pages : 314 pages
Book Rating : 4.26/5 ( download)

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Download or read book The Use of Frames in Sampling Theory written by Antonio García García and published by Springer Nature. This book was released on with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Stephen D. Casey
Publisher : Springer Nature
ISBN 13 : 3030362914
Total Pages : 210 pages
Book Rating : 4.11/5 ( download)

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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.

Author : Vic Barnett
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.48/5 ( download)

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Download or read book Elements of sampling theory written by Vic Barnett and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Des Raj
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.89/5 ( download)

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Download or read book Sampling Theory written by Des Raj and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Willi Freeden
Publisher : CRC Press
ISBN 13 : 1000757749
Total Pages : 184 pages
Book Rating : 4.43/5 ( download)

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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.

Author : John J. Benedetto
Publisher : Springer Science & Business Media
ISBN 13 : 1461201438
Total Pages : 423 pages
Book Rating : 4.34/5 ( download)

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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.

Author : Stephen D. Casey
Publisher : Springer Nature
ISBN 13 : 3031411307
Total Pages : 580 pages
Book Rating : 4.04/5 ( download)

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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.

Author : Sarjinder Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9781402017063
Total Pages : 640 pages
Book Rating : 4.65/5 ( download)

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Download or read book Advanced Sampling Theory With Applications written by Sarjinder Singh and published by Springer Science & Business Media. This book was released on 2003 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Sampling Theory with Applications: How Michael 'selected' Amy is a comprehensive expose of basic and advanced sampling techniques along with their applications in the diverse fields of science and technology.

Author : S. Sampath
Publisher :
ISBN 13 : 9788173196256
Total Pages : 199 pages
Book Rating : 4.57/5 ( download)

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Download or read book Sampling Theory And Methods, 2/e written by S. Sampath and published by . This book was released on 2005-01-01 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: