| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9509412 | Journal of Computational and Applied Mathematics | 2005 | 15 Pages |
Abstract
Shannon's sampling formula has been extended to subspaces {Vj}jâZ in multiresolution analysis. When we apply the corresponding sampling formula for V0 to a function which does not belong to this space, the so-called aliasing error arises. This paper deals with the aliasing error, Ef, whenever f is in V1. We obtain an expression for its Fourier transform, Ef^, which allows us to give estimations of the aliasing error both in L2(R)-norm and in Lâ(R)-norm. Finally, we carry out a study of the aliasing error in the case when f belongs to V2.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
A.G. GarcÃa, G. Pérez-Villalón,