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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Modern Sampling Theory
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Beschreibung
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. 117,69 €
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Technische Daten
Erscheinungsdatum
23.10.2012
Sprache
Englisch
EAN
9781461266327
Herausgeber
Birkhäuser Boston
Serien- oder Bandtitel
Applied and Numerical Harmonic Analysis
Sonderedition
Nein
Seitenanzahl
419
Einbandart
Broschiert
Buch Untertitel
Mathematics and Applications
Schlagwörter
Fourier transform, Modulation, Shannon, communication, fast Fourier transform, fast Fourier transform (FFT), harmonic analysis, signal analysis, signal processing
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBKS - Numerische Mathematik
PBT - Wahrscheinlichkeitsrechnung und Statistik
PBWL - Stochastik
TJF - Elektronik
UYS - Digitale Signalverarbeitung (DSP)
PBW - Angewandte Mathematik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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