Modern sampling theory : mathematics and applications /

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Bibliographic Details
Imprint:Boston : Birkhàˆuser, c2001.
Description:xvi, 417 p. : ill. ; 24 cm.
Language:English
Series:Applied and numerical harmonic analysis
Subject:Sampling (Statistics)
Sampling (Statistics)
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4473175
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Other authors / contributors:Benedetto, John.
Ferreira, Paulo J. S. G.
ISBN:0817640231 (acid-free paper)
3764340231 (acid-free paper)
Notes:Includes bibliographical references (p. [379]-413) and index.
Table of Contents:
  • Introduction
  • On the transmission capacity of the "ether" and wire in electrocommunications
  • Part I. Sampling, wavelets, and the uncertainty principle
  • Wavelets and sampling
  • Embeddings and uncertainty principles for generalized modulation spaces
  • Sampling theory for certain hilbert spaces of bandlimited functions
  • Shannon-type wavelets and the convergence of their associated wavelet series
  • Part II. Sampling topics from mathematical analysis
  • Non-uniform sampling in higher dimensions: From trigonometric polynomials to bandlimited functions
  • The analysis of oscillatory behavior in signals through their samples
  • Residue and sampling techniques in deconvolution
  • Sampling theorems from the iteration of low order differential operators
  • Approximation of continuous functions by Rogosinski-Type sampling series
  • Part III. Sampling tools and applications
  • Fast fourier transforms for nonequispaced data: A tutorial
  • Efficient minimum rate sampling of signals with frequency support over non-commensurable sets
  • Finite and infinite-dimensional models for oversampled filter banks
  • Statistical aspects of sampling for noisy and grouped data
  • Reconstruction of MRI images from non-uniform sampling
  • application to Intrascan motion correction in functional MRI
  • Efficient sampling of the rotation invariant radon transform