Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4617093 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
Sampling theory is concerned with the problem of reconstructing a signal ff in a Hilbert space from a given a collection of sampled values of ff. If a certain decomposition of the Hilbert space is possible (in terms of the sampling and reconstruction subspaces) then a consistent reconstruction can be obtained. In this paper we treat the case in which such a decomposition cannot be found. For this situation, we study the quasi-consistent reconstructions which are an extension of the consistent reconstructions. We relate the previous concepts to generalized inverses. We also present some new results and problems regarding consistent sampling.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Laura Arias, Cristian Conde,