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Modern Sampling Theory : Mathematics and Applications / edited by John J. Benedetto, Paulo J.S.G. Ferreira.

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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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Other Authors: Benedetto, John J (Editor), Ferreira, Paulo J. S. G. (Editor)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint : Birkhäuser, 2001.
Boston, MA Birkhäuser Boston Imprint : Birkhäuser, 2001.
Series:Applied and numerical harmonic analysis.
Subjects:
Sampling (Statistics)
Fourier analysis.
Engineering mathematics.
Computer science > Mathematics.
Probabilities.
Engineering.
Functional analysis.
Mathematics.
Telecommunication.
Table of 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.

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