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
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;
Conference_Titel :
Acoustics, Speech and Signal Processing (ICASSP), 2012 IEEE International Conference on
Conference_Location :
Kyoto
Print_ISBN :
978-1-4673-0045-2
Electronic_ISBN :
1520-6149
DOI :
10.1109/ICASSP.2012.6288625
