Modern Sampling Theory by John J Benedetto

Modern Sampling Theory by John J Benedetto

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 frames,complex 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 principle,and 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 processing,and 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.

"The introduction (Chapter 1) gives an excellent overview of the history and development of sampling theoryIt 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

SKU	Unavailable
ISBN 13	9780817640231
ISBN 10	0817640231
Title	Modern Sampling Theory
Author	John J Benedetto
Series	Applied And Numerical Harmonic Analysis
Condition	Unavailable
Binding Type	Hardback
Publisher	Birkhauser Boston Inc
Year published	2001-02-16
Number of pages	419
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.