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 |