| Title | Oversampling and reconstruction functions with compact support |
| Author(s) | A.G. , M.A. , G. |
| Type | Article in Journal |
| Abstract | Assume that a sequence of samples of a filtered version of a function in a shift-invariant space is given. This paper deals with the existence of a sampling formula involving these samples and having reconstruction functions with compact support. This is done in the light of the generalized sampling theory by using the oversampling technique. A necessary and sufficient condition is given in terms of the Smith canonical form of a polynomial matrix. Finally, we prove that the aforesaid oversampled formulas provide nice approximation schemes with respect to the uniform norm. |
| Keywords | Shift-invariant spaces, Oversampling, Generalized sampling, Smith canonical form |
| ISSN | 0377-0427 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0377042708001088 |
| Language | English |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 227 |
| Number | 2 |
| Pages | 245 - 253 |
| Year | 2009 |
| Note | Special Issue on Emergent Applications of Fractals and Wavelets in Biology and Biomedicine |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
