عنوان

Modern Sampling Theory

شابک

9781461201434

شابک

9781461266327

شماره

b402641

عنوان اصلي

Modern Sampling Theory

نام عام مواد

[Book]

ساير اطلاعات عنواني

Mathematics and Applications /

نام نخستين پديدآور

edited by John J. Benedetto, Paulo J. S. G. Ferreira.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

2001.

عنوان فروست

Applied and Numerical Harmonic Analysis

متن يادداشت

1 Introduction -- 1.1 The Classical Sampling Theorem -- 1.2 Non-Uniform Sampling and Frames -- 1.3 Outline of the Book -- 2 On the Transmission Capacity of the 'Ether' and Wire in Electrocommunications -- I Sampling, Wavelets, and the Uncertainty Principle -- 3 Wavelets and Sampling -- 4 Embeddings and Uncertainty Principles for Generalized Modulation Spaces -- 5 Sampling Theory for Certain Hilbert Spaces of Bandlimited Functions -- 6 Shannon-Type Wavelets and the Convergence of Their Associated Wavelet Series -- II Sampling Topics from Mathematical Analysis -- 7 Non-Uniform Sampling in Higher Dimensions: From Trigonometric Polynomials to Bandlimited Functions -- 8 The Analysis of Oscillatory Behavior in Signals Through Their Samples -- 9 Residue and Sampling Techniques in Deconvolution -- 10 Sampling Theorems from the Iteration of Low Order Differential Operators -- 11 Approximation of Continuous Functions by RogosinskiType Sampling Series -- III Sampling Tools and Applications -- 12 Fast Fourier Transforms for Nonequispaced Data: A Tutorial -- 13 Efficient Minimum Rate Sampling of Signals with Frequency Support over Non-Commensurable Sets -- 14 Finite-and Infinite-Dimensional Models for Oversampled Filter Banks -- 15 Statistical Aspects of Sampling for Noisy and Grouped Data -- 16 Reconstruction of MRI Images from Non-Uniform Sampling and Its Application to Intrascan Motion Correction in Functional MRI -- 17 Efficient Sampling of the Rotation Invariant Radon Transform -- References.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9781461266327

عنوان

Springer eBooks

موضوع مستند نشده

Engineering.

موضوع مستند نشده

Functional analysis.

موضوع مستند نشده

Mathematics.

موضوع مستند نشده

Telecommunication.

مستند نام اشخاص تاييد نشده

Benedetto, John J.

مستند نام اشخاص تاييد نشده

Ferreira, Paulo J. S. G.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307155900.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y