DocumentCode
3158373
Title
U-invariant sampling and stable reconstruction in atomic spaces
Author
Pohl, Volker ; Boche, Holger
Author_Institution
Dept. of Theor. Inf. Technol., Tech. Univ. Munchen, Munich, Germany
fYear
2012
fDate
25-30 March 2012
Firstpage
3317
Lastpage
3320
Abstract
Given a U-invariant sampling scheme on an arbitrary Hilbert space ℋ. This paper characterizes atomic subspaces A of ℋ such that every signal x ∈ A can be reconstructed from its samples acquired with this sampling scheme. If signal recovery is possible a linear filter is derived which reconstructs the signal from the samples.
Keywords
Hilbert spaces; signal reconstruction; signal sampling; U-invariant sampling; arbitrary Hilbert space; atomic spaces; signal reconstruction; signal recovery; stable reconstruction; Argon; Generators; Gold; Hilbert space; Silicon; Technological innovation; Vectors; Atomic spaces; sampling; stationary sequences;
fLanguage
English
Publisher
ieee
Conference_Titel
Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on
Conference_Location
Kyoto
ISSN
1520-6149
Print_ISBN
978-1-4673-0045-2
Electronic_ISBN
1520-6149
Type
conf
DOI
10.1109/ICASSP.2012.6288625
Filename
6288625
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