Stable computation of the Fourier transform using regularization
type: Item
instance of: scholarly article
title: Stable computation of the Fourier transform using regularization
zbMATH Open document ID: 0951.65143
author: V. S. Sizikov
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-03T00:00:00Z
review text: An ill-posed Fredholm integral equation of the first kind is considered. The \(n\)-order Tikhonov regularization method is employed to increase the stability of computing the Fourier transform. The regularization parameter \(\alpha\) is selected by the residual technique. The regularization of direct and inverse, continuous and discrete, and one- and two-dimensional Fourier transforms is discussed.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 1467887
zbMATH Keywords: Fourier transform
zbMATH Keywords: discrete Fourier transform
zbMATH Keywords: ill-posed Fredholm integral equation of the first kind
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: stability
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1467887