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Type: Artigo de periódico
Title: Iterative methods based on polynomial interpolation filters to detect discontinuities and recover point values from Fourier data
Author: Wei, MS
De Pierro, AR
Yin, JH
Abstract: In previous papers, we proposed new filters based, on polynomial interpolation to approximate the point values of a piecewise smooth function f on [0, 1] from its Fourier coefficients and derived error estimates. We proved that if all the discontinuity points of f are nodes, we can reconstruct point values of f accurately, even close to the discontinuities. In this paper, we use the new filters to develop iterative methods for detecting the discontinuity points and, therefore, accurately approximate the point values of the function from its Fourier coefficients.
Subject: detection of discontinuities
Fourier transform
Gibbs phenomenon
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TSP.2004.838936
Date Issue: 2005
Appears in Collections:Unicamp - Artigos e Outros Documentos

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