Sampling Theory, a Renaissance

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Publisher : Birkhäuser
ISBN 13 : 3319197495
Total Pages : 532 pages
Book Rating : 4.3/5 (191 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 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.

Sampling: Theory and Applications

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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.

Elements of sampling theory

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (297 download)

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Book Synopsis Elements of sampling theory by : Vic Barnett

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:

Sampling Theory and Methods

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Author :
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652145
Total Pages : 218 pages
Book Rating : 4.6/5 (521 download)

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Book Synopsis Sampling Theory and Methods by : S. Sampath

Download or read book Sampling Theory and Methods written by S. Sampath and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sampling Theory and Methods presents in detail several sampling schemes like simple random sampling, unequal probability sampling methods, systematic, stratified, cluster and multistage sampling. In addition to sampling schemes a number of estimating methods which include ratio and regression estimators are also discussed. The use of superpopulation models is covered in detail along with recent developments including estimation of distribution functions, adaptive sampling schemes etc. New to the Second Edition: *Contents reorganized to establish a coherent link between various concepts *Several numerical examples associated with real life solutions for bringing out the relevance of theory in real life context

Sampling Theory

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (847 download)

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Book Synopsis Sampling Theory by : Des Raj

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:

Lattice Point Identities and Shannon-Type Sampling

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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

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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.

Sampling, Approximation, and Signal Analysis

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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.

Advanced Sampling Theory With Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402017070
Total Pages : 640 pages
Book Rating : 4.0/5 (17 download)

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Book Synopsis Advanced Sampling Theory With Applications by : Sarjinder Singh

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: A comprehensive expose of basic and advanced sampling techniques along with their applications in the diverse fields of science and technology.

Sampling Theory And Methods, 2/e

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Publisher :
ISBN 13 : 9788173196256
Total Pages : 199 pages
Book Rating : 4.1/5 (962 download)

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Book Synopsis Sampling Theory And Methods, 2/e by : S. Sampath

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:

Theory of Sampling and Sampling Practice, Third Edition

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Publisher : CRC Press
ISBN 13 : 1351105914
Total Pages : 945 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Theory of Sampling and Sampling Practice, Third Edition by : Francis F. Pitard

Download or read book Theory of Sampling and Sampling Practice, Third Edition written by Francis F. Pitard and published by CRC Press. This book was released on 2019-01-10 with total page 945 pages. Available in PDF, EPUB and Kindle. Book excerpt: A step-by-step guide for anyone challenged by the many subtleties of sampling particulate materials. The only comprehensive document merging the famous works of P. Gy, I. Visman, and C.O. Ingamells into a single theory in a logical way - the most advanced book on sampling that can be used by all sampling practitioners around the world.

Modern Sampling Theory

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Publisher :
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 J. Benedetto

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

Metrics, Norms, Inner Products, and Operator Theory

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Publisher : Birkhäuser
ISBN 13 : 3319653229
Total Pages : 359 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Metrics, Norms, Inner Products, and Operator Theory by : Christopher Heil

Download or read book Metrics, Norms, Inner Products, and Operator Theory written by Christopher Heil and published by Birkhäuser. This book was released on 2018-08-28 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a self-contained introduction to the three main families that we encounter in analysis – metric spaces, normed spaces, and inner product spaces – and to the operators that transform objects in one into objects in another. With an emphasis on the fundamental properties defining the spaces, this book guides readers to a deeper understanding of analysis and an appreciation of the field as the “science of functions.” Many important topics that are rarely presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, Schauder bases for Banach spaces, the dual of lp topological isomorphisms, the Spectral Theorem, the Baire Category Theorem, and the Uniform Boundedness Principle. The text is constructed in such a way that instructors have the option whether to include more advanced topics. Written in an appealing and accessible style, Metrics, Norms, Inner Products, and Operator Theory is suitable for independent study or as the basis for an undergraduate-level course. Instructors have several options for building a course around the text depending on the level and interests of their students. Key features: Aimed at students who have a basic knowledge of undergraduate real analysis. All of the required background material is reviewed in the first chapter. Suitable for undergraduate-level courses; no familiarity with measure theory is required. Extensive exercises complement the text and provide opportunities for learning by doing. A separate solutions manual is available for instructors via the Birkhäuser website (www.springer.com/978-3-319-65321-1). Unique text providing an undergraduate-level introduction to metrics, norms, inner products, and their associated operator theory.

Sampling Theory in Fourier and Signal Analysis: Advanced Topics

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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.

Advanced Sampling Theory with Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9400707894
Total Pages : 1219 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Advanced Sampling Theory with Applications by : S. Singh

Download or read book Advanced Sampling Theory with Applications written by S. Singh and published by Springer Science & Business Media. This book was released on 2013-01-07 with total page 1219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a multi-purpose document. It can be used as a text by teachers, as a reference manual by researchers, and as a practical guide by statisticians. It covers 1165 references from different research journals through almost 1900 citations across 1194 pages, a large number of complete proofs of theorems, important results such as corollaries, and 324 unsolved exercises from several research papers. It includes 159 solved, data-based, real life numerical examples in disciplines such as Agriculture, Demography, Social Science, Applied Economics, Engineering, Medicine, and Survey Sampling. These solved examples are very useful for an understanding of the applications of advanced sampling theory in our daily life and in diverse fields of science. An additional 173 unsolved practical problems are given at the end of the chapters. University and college professors may find these useful when assigning exercises to students. Each exercise gives exposure to several complete research papers for researchers/students.

Compressed Sensing and its Applications

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Publisher : Birkhäuser
ISBN 13 : 3319698028
Total Pages : 388 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Compressed Sensing and its Applications by : Holger Boche

Download or read book Compressed Sensing and its Applications written by Holger Boche and published by Birkhäuser. This book was released on 2018-01-17 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery. This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it.

Sampling Theory and Practice

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Publisher : Springer Nature
ISBN 13 : 3030442462
Total Pages : 371 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Sampling Theory and Practice by : Changbao Wu

Download or read book Sampling Theory and Practice written by Changbao Wu and published by Springer Nature. This book was released on 2020-05-15 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three parts of this book on survey methodology combine an introduction to basic sampling theory, engaging presentation of topics that reflect current research trends, and informed discussion of the problems commonly encountered in survey practice. These related aspects of survey methodology rarely appear together under a single connected roof, making this book a unique combination of materials for teaching, research and practice in survey sampling. Basic knowledge of probability theory and statistical inference is assumed, but no prior exposure to survey sampling is required. The first part focuses on the design-based approach to finite population sampling. It contains a rigorous coverage of basic sampling designs, related estimation theory, model-based prediction approach, and model-assisted estimation methods. The second part stems from original research conducted by the authors as well as important methodological advances in the field during the past three decades. Topics include calibration weighting methods, regression analysis and survey weighted estimating equation (EE) theory, longitudinal surveys and generalized estimating equations (GEE) analysis, variance estimation and resampling techniques, empirical likelihood methods for complex surveys, handling missing data and non-response, and Bayesian inference for survey data. The third part provides guidance and tools on practical aspects of large-scale surveys, such as training and quality control, frame construction, choices of survey designs, strategies for reducing non-response, and weight calculation. These procedures are illustrated through real-world surveys. Several specialized topics are also discussed in detail, including household surveys, telephone and web surveys, natural resource inventory surveys, adaptive and network surveys, dual-frame and multiple frame surveys, and analysis of non-probability survey samples. This book is a self-contained introduction to survey sampling that provides a strong theoretical base with coverage of current research trends and pragmatic guidance and tools for conducting surveys.