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Modern Sampling Theory : Mathematics and Applications

Author: John J Benedetto; Paulo J S G Ferreira
Publisher: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2001.
Series: Applied and numerical harmonic analysis.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: John J Benedetto; Paulo J S G Ferreira
ISBN: 1461201438 9781461201434 9781461266327 1461266327 0817640231 9780817640231 3764340231 9783764340230
OCLC Number: 1058051820
Language Note: English.
Description: 1 online resource (XVI, 419 pages)
Contents: 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.
Series Title: Applied and numerical harmonic analysis.
Responsibility: edited by John J. Benedetto, Paulo J.S.G. Ferreira.

Abstract:

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  Read more...

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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, Read more...

 
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