Stable computation of the Fourier transform using regularization (Q1569358)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stable computation of the Fourier transform using regularization |
scientific article; zbMATH DE number 1467887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stable computation of the Fourier transform using regularization |
scientific article; zbMATH DE number 1467887 |
Statements
Stable computation of the Fourier transform using regularization (English)
0 references
3 July 2000
0 references
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.
0 references
Fourier transform
0 references
discrete Fourier transform
0 references
ill-posed Fredholm integral equation of the first kind
0 references
Tikhonov regularization
0 references
stability
0 references
