Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605711 | Applied and Computational Harmonic Analysis | 2006 | 12 Pages |
Abstract
The aim of this article is to derive stable generalized sampling in a shift-invariant space by using some special dual frames in L2(0,1). These sampling formulas involve samples of filtered versions of the functions in the shift-invariant space. The involved samples are expressed as the frame coefficients of an appropriate function in L2(0,1) with respect to some particular frame in L2(0,1). Since any shift-invariant space with stable generator is the image of L2(0,1) by means of a bounded invertible operator, our generalized sampling is derived from some dual frame expansions in L2(0,1).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis