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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…