Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/54822
Type: Artigo de periódico
Title: Approximating functions from sampled Fourier data using spline pseudofilters
Author: Martinez, AG
De Pierro, AR
Abstract: Recently, new polynomial approximation formulas were proposed for the reconstruction of compactly supported piecewise smooth functions from Fourier data. Formulas for zero and first degree polynomials were presented. For higher degree approximations, polynomial formulas become extremely complicated to be handled. In this paper we solve this problem by introducing spline approximations. The new approach can be used in the same way as the polynomial one but producing computable formulas for any degree of approximation in Fourier reconstruction. We present general error estimates and numerical experiments.
Subject: discrete Fourier transform
filters
Fourier series
Fourier transform
interpolation
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TSP.2007.911290
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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