INVESTIGADORES
CABRELLI Carlos Alberto
artículos
Título:
Functions on Sampling Spaces
Autor/es:
BLANCO, C.; CARLOS A. CABRELLI; HEINEKEN, S.
Revista:
Sampling Theory in Signal and Image Processing
Editorial:
Sampling Publishing
Referencias:
Año: 2006 vol. 5 p. 275 - 296
Resumen:
Sampling theory in spaces other than the space of band-limited functions has recently received considerable attention. This is in part because the band-limitedness assumption is not very realistic in many applications. In addition, band-limited functions can have very slow decay which translates in poor reconstruction. In this article we study the sampling problem in general shift invariant spaces. We characterize the functions in these spaces and provide necessary and sufficient conditions for a function in L2(R) to belong to a sampling space. Furthermore, we obtain decompositions of a sampling space in sampling subspaces. These decompositions are related with determining sets. Some examples are provided.
