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Modern Sampling Theory: Mathematics and Applications (Applied and Numerical Harmonic Analysis) - Softcover
Synopsis
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.
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"The introduction (Chapter 1) gives an excellent overview of the history and development of sampling theory. It shows that the WSK sampling theory has roots in many classical areas of mathematics, such as harmonic analysis, number theory, and interpolation theory. Many famous mathematicians, such as Cauchy, Borel, Hadamard, and de la Vallee-Poussin contributed directly or indirectly to its development. The introduction then proceeds to show how sampling theory is connected to more recent topics in mathematical analysis, such as wavelets, Gabor systems, density theorems, frames, and sampling in locally compact abelian groups."
―Mathematical Reviews
"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."
―Publicationes Mathematicae
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Modern Sampling Theory: Mathematics and Applications (Applied and Numerical Harmonic Analysis)
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Modern Sampling Theory
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Birkhäuser Boston Okt 2012, 2012
ISBN 10: 1461266327
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 436 pp. Englisch. Seller Inventory # 9781461266327
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Modern Sampling Theory: Mathematics and Applications
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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-dat. Seller Inventory # 4189277
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Modern Sampling Theory : Mathematics and Applications
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781461266327
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Modern Sampling Theory
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ISBN 10: 1461266327
ISBN 13: 9781461266327
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Taschenbuch. Condition: Neu. Neuware -Sampling is a fundamental topic in the engineering and physicalsciences. This new edited book focuses on recent mathematical methodsand theoretical developments, as well as some current centralapplications of the Classical Sampling Theorem. The Classical SamplingTheorem, whichoriginated in the 19th century, is often associated with the names ofShannon, Kotelnikov, and Whittaker; and one of the features of thisbook is an English translation of the pioneering work in the 1930s byKotelnikov, a Russian engineer.Following a technical overview and Kotelnikov's article, the bookincludes a wide and coherent range of mathematical ideas essential formodern sampling techniques. These ideas involve wavelets and framescomplex and abstract harmonic analysis, the Fast Fourier Transform(FFT),and special functions and eigenfunction expansions. Some of theapplications addressed are tomography and medical imaging.Topics:. Relations between wavelet theory, the uncertainty principleand sampling; . Multidimensional non-uniform sampling theory andalgorithms; The analysis of oscillatory behavior through sampling;.Sampling techniques in deconvolution; The FFT for non-uniformlydistributed data; Filter design and sampling; Sampling of noisy data for signal reconstruction; Finitedimensional models for oversampled filter banks; Sampling problems in MRI.Engineers and mathematicians working in wavelets, signal processingand harmonic analysis, as well as scientists and engineers working onapplications as varied as medical imaging and synthetic apertureradar, will find the book to be a modern and authoritative guide tosampling theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 436 pp. Englisch. Seller Inventory # 9781461266327
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