3 papers
math.FA2017
Sampling formulas involving differences in shift-invariant subspaces: a unified approach
Antonio G. García, María J. Muñoz-Bouzo
Successive differences on a sequence of data help to discover some smoothness features of this data. This was one of the main reasons for rewriting the classical interpolation form…
cs.IT2016
Filter Banks on Discrete Abelian Groups
Antonio Garcia Garcia, Miguel Angel Hernandez-Medina, Gerardo Perez-Villalon
In this work we provide polyphase, modulation, and frame theoretical analyses of a filter bank on a discrete abelian group. Thus, multidimensional or cyclic filter banks as well as…
cs.IT2008
On the existence of compactly supported reconstruction functions in a sampling problem
A. G. Garcia, M. A. Hernandez-Medina, G. Perez-Villalon
Assume that samples of a filtered version of a function in a shift-invariant space are avalaible. This work deals with the existence of a sampling formula involving these samples a…