Reconstruction of periodic functions from noisy input data
type: Item
instance of: scholarly article
title: Reconstruction of periodic functions from noisy input data
zbMATH Open document ID: 1257.42039
DOI: 10.1134/S1064562409010244
author: Xianqiang Yang
published in: Doklady Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The problem of reconstructing a function from noisy Fourier coefficients, which is important for applications, is usually solved by directly summing the Fourier series with normalizing factors that improve the convergence of the series. In this paper, the authors suggest a method for reconstructing a function \(f(x)\) by solving a system (related to the Fourier coefficient of \(f(x)\)) of Fredholm integral equations of the first kind. The authors mention that the method suggested in this paper is intended for recognizing functions with highly noisy Fourier coefficients.
reviewed by: Enji Sato
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 94A20
zbMATH DE Number: 6106392
zbMATH Keywords: Fourier series
zbMATH Keywords: Fourier coefficient
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6106392