Modern Sampling Theory

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Modern Sampling Theory
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Author : John J. Benedetto
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-02-16
Modern Sampling Theory written by John J. Benedetto 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 2001-02-16 with Mathematics categories.
Sampling is a fundamental topic in the engineering and physical sciences. This new edited book focuses on recent mathematical methods and theoretical developments, as well as some current central applications of the Classical Sampling Theorem. The Classical Sampling Theorem, which originated in the 19th century, is often associated with the names of Shannon, Kotelnikov, and Whittaker; and one of the features of this book is an English translation of the pioneering work in the 1930s by Kotelnikov, a Russian engineer. Following a technical overview and Kotelnikov's article, the book includes a wide and coherent range of mathematical ideas essential for modern sampling techniques. These ideas involve wavelets and frames, complex and abstract harmonic analysis, the Fast Fourier Transform (FFT), and special functions and eigenfunction expansions. Some of the applications addressed are tomography and medical imaging. Topics and features: • Relations between wavelet theory, the uncertainty principle, and sampling • Multidimensional non-uniform sampling theory and algorithms • The analysis of oscillatory behavior through sampling • Sampling techniques in deconvolution • The FFT for non-uniformly distributed data • Filter design and sampling • Sampling of noisy data for signal reconstruction • Finite dimensional models for oversampled filter banks • Sampling problems in MRI. Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory.
Modern Sampling Theory
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Author : John J. Benedetto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modern Sampling Theory written by John J. Benedetto 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 Mathematics categories.
Sampling is a fundamental topic in the engineering and physical sciences. This new edited book focuses on recent mathematical methods and theoretical developments, as well as some current central applications of the Classical Sampling Theorem. The Classical Sampling Theorem, which originated in the 19th century, is often associated with the names of Shannon, Kotelnikov, and Whittaker; and one of the features of this book is an English translation of the pioneering work in the 1930s by Kotelnikov, a Russian engineer. Following a technical overview and Kotelnikov's article, the book includes a wide and coherent range of mathematical ideas essential for modern sampling techniques. These ideas involve wavelets and frames, complex and abstract harmonic analysis, the Fast Fourier Transform (FFT),and special functions and eigenfunction expansions. Some of the applications addressed are tomography and medical imaging. Topics:. Relations between wavelet theory, the uncertainty principle, and sampling; . Multidimensional non-uniform sampling theory and algorithms;. The analysis of oscillatory behavior through sampling;. Sampling techniques in deconvolution;. The FFT for non-uniformly distributed data; . Filter design and sampling; . Sampling of noisy data for signal reconstruction;. Finite dimensional models for oversampled filter banks; . Sampling problems in MRI. Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory.
Modern Sampling Theory
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Author : John Benedetto
language : en
Publisher: Birkhauser
Release Date : 2001-01-01
Modern Sampling Theory written by John Benedetto and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Sampling (Statistics) categories.
Modern Sampling Theory Or The Road To Good Sampling
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Author : Dominique M. François-Bongarçon
language : en
Publisher:
Release Date : 2005
Modern Sampling Theory Or The Road To Good Sampling written by Dominique M. François-Bongarçon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Sampling (Statistics) categories.
Sampling Theory A Renaissance
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Author : Götz E. Pfander
language : en
Publisher: Birkhäuser
Release Date : 2015-12-08
Sampling Theory A Renaissance written by Götz E. Pfander and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Mathematics categories.
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.
Modern Sampling Methods
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Author : Palmer Oliver Johnson
language : en
Publisher:
Release Date : 1959
Modern Sampling Methods written by Palmer Oliver Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Mathematics categories.
Sampling Theory
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Author : Yonina C. Eldar
language : en
Publisher: Cambridge University Press
Release Date : 2015-04-09
Sampling Theory written by Yonina C. Eldar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-09 with Computers categories.
A comprehensive guide to sampling for engineers, covering the fundamental mathematical underpinnings together with practical engineering principles and applications.
Modern Sampling Methods
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Author : Palmer O. Johnson
language : en
Publisher:
Release Date : 2003-01
Modern Sampling Methods written by Palmer O. Johnson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01 with categories.
The Audio Expert
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Author : Ethan Winer
language : en
Publisher: CRC Press
Release Date : 2012-11-12
The Audio Expert written by Ethan Winer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-12 with Technology & Engineering categories.
The Audio Expert is a comprehensive reference that covers all aspects of audio, with many practical, as well as theoretical, explanations. Providing in-depth descriptions of how audio really works, using common sense plain-English explanations and mechanical analogies with minimal math, the book is written for people who want to understand audio at the deepest, most technical level, without needing an engineering degree. It's presented in an easy-to-read, conversational tone, and includes more than 400 figures and photos augmenting the text. The Audio Expert takes the intermediate to advanced recording engineer or audiophile and makes you an expert. The book goes far beyond merely explaining how audio "works." It brings together the concepts of audio, aural perception, musical instrument physics, acoustics, and basic electronics, showing how they're intimately related. Describing in great detail many of the practices and techniques used by recording and mixing engineers, the topics include video production and computers. Rather than merely showing how to use audio devices such as equalizers and compressors, Ethan Winer explains how they work internally, and how they are spec'd and tested. Most explanations are platform-agnostic, applying equally to Windows and Mac operating systems, and to most software and hardware. TheAudioExpertbook.com, the companion website, has audio and video examples to better present complex topics such as vibration and resonance. There are also videos demonstrating editing techniques and audio processing, as well as interviews with skilled musicians demonstrating their instruments and playing techniques.
Introduction To Modern Sampling Theory
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Author : Antonio Mura
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2014-03
Introduction To Modern Sampling Theory written by Antonio Mura and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03 with categories.
This book provides an introduction to modern sampling survey theory. The author proposed an original approach based on an index free formalism. This formulation turns out to be ideal for taking advantage of many modern statistical software (such as Matlab or R), which allow managing vectors and data matrix as single algebraic objects. The book represents an introduction covering all the topics usually treated in standard sample survey books, such as: random samples and sampling designs, estimators and their properties, non-response. Moreover, even though sampling algorithm theory is not presented systematically, the author provides a large set of codes and examples allowing the reader to implement almost every sampling scheme discussed within the book. Only basic knowledge of algebra, calculus, probability and programming, that are within the academic curriculum of any scientific graduated student, is required. The aim of the book is to provide all the basic scientific knowledge and technical tools needed to start projecting and developing a modern sample survey.