DocumentCode
930969
Title
On the necessity of Papoulis´ result for multidimensional GSE
Author
Feuer, Arie
Author_Institution
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Volume
11
Issue
4
fYear
2004
fDate
4/1/2004 12:00:00 AM
Firstpage
420
Lastpage
422
Abstract
Papoulis´ generalized sampling expansion (GSE) can be carried out if a set of linear equations has a solution. This enables the reconstruction of a signal from its filtered and downsampled versions. We show that the existence of this solution is also a necessary condition for the reconstruction of the signal from the available data. Special attention is given to the case of recurrent multidimensional sampling.
Keywords
matrix algebra; multidimensional signal processing; signal reconstruction; signal sampling; Papoulis´ generalized sampling expansion; linear equations; matrix; multidimensional generalized sampling expansion; recurrent multidimensional sampling; signal reconstruction; Equations; Filters; Fourier transforms; Frequency; Lattices; Multidimensional systems; Nonuniform sampling; Sampling methods; Signal reconstruction; Sufficient conditions;
fLanguage
English
Journal_Title
Signal Processing Letters, IEEE
Publisher
ieee
ISSN
1070-9908
Type
jour
DOI
10.1109/LSP.2004.824022
Filename
1275502
Link To Document