Title | **Oversampling and reconstruction functions with compact support** |

Author(s) | A.G. García, M.A. Hernández-Medina, G. Pérez-Villalón |

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 |