U-invariant sampling and stable reconstruction in atomic spaces

Volker Pohl; Holger Boche

doi:10.1109/ICASSP.2012.6288625

U-invariant sampling and stable reconstruction in atomic spaces

Volker Pohl, Holger Boche

Chair of Theoretical Information Technology

Technical University of Munich

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings
Pages	3317-3320
Number of pages	4
DOIs	https://doi.org/10.1109/ICASSP.2012.6288625
State	Published - 2012
Event	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Kyoto, Japan Duration: 25 Mar 2012 → 30 Mar 2012

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Conference

Conference	2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012
Country/Territory	Japan
City	Kyoto
Period	25/03/12 → 30/03/12

Keywords

Atomic spaces
sampling
stationary sequences

Access to Document

10.1109/ICASSP.2012.6288625

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Pohl, V., & Boche, H. (2012). U-invariant sampling and stable reconstruction in atomic spaces. In 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings (pp. 3317-3320). Article 6288625 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). https://doi.org/10.1109/ICASSP.2012.6288625

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author = "Volker Pohl and Holger Boche",

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booktitle = "2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings",

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Pohl, V & Boche, H 2012, U-invariant sampling and stable reconstruction in atomic spaces. in 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings., 6288625, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, pp. 3317-3320, 2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012, Kyoto, Japan, 25/03/12. https://doi.org/10.1109/ICASSP.2012.6288625

U-invariant sampling and stable reconstruction in atomic spaces. / Pohl, Volker; Boche, Holger.
2012 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2012 - Proceedings. 2012. p. 3317-3320 6288625 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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KW - stationary sequences

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U-invariant sampling and stable reconstruction in atomic spaces

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