Noncausal sampled signal reconstruction from noisy measurements: a system-theoretic approach

Gjerrit Meinsma; Leonid Mirkin

doi:10.1109/CDC.2007.4434814

Noncausal sampled signal reconstruction from noisy measurements: a system-theoretic approach

Gjerrit Meinsma, Leonid Mirkin

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

1 Citation (Scopus)

119 Downloads (Pure)

Abstract

The paper studies the problem of reconstructing a not necessarily bandlimited analog signal from its noisy sampled measurements. Both A/D and D/A devices are treated as design parameters and no causality constraints are imposed on the reconstructor. We derive closed-form formulae for both $L^2$- and $L^\infty$-optimal reconstructors as well as expressions for the optimal achievable performance in both cases.

Original language	Undefined
Title of host publication	Proceedings of the 46th IEEE Conference on Decision and Control
Publisher	IEEE Control Systems Society
Pages	444-449
Number of pages	6
ISBN (Print)	1-4244-1498-9
DOIs	https://doi.org/10.1109/CDC.2007.4434814
Publication status	Published - Dec 2007
Event	46th IEEE Conference on Decision and Control, CDC 2007 - Hilton New Orleans Riverside, New Orleans, United States Duration: 12 Dec 2007 → 14 Dec 2007 Conference number: 46

Publication series

Name
Publisher	IEEE Control Systems Society
ISSN (Print)	0191-2216

Conference

Conference	46th IEEE Conference on Decision and Control, CDC 2007
Abbreviated title	CDC
Country/Territory	United States
City	New Orleans
Period	12/12/07 → 14/12/07

Keywords

EWI-11613
IR-62071
METIS-250853

Access to Document

10.1109/CDC.2007.4434814

Cite this

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title = "Noncausal sampled signal reconstruction from noisy measurements: a system-theoretic approach",

abstract = "The paper studies the problem of reconstructing a not necessarily bandlimited analog signal from its noisy sampled measurements. Both A/D and D/A devices are treated as design parameters and no causality constraints are imposed on the reconstructor. We derive closed-form formulae for both $L^2$- and $L^\infty$-optimal reconstructors as well as expressions for the optimal achievable performance in both cases.",

keywords = "EWI-11613, IR-62071, METIS-250853",

author = "Gjerrit Meinsma and Leonid Mirkin",

note = "10.1109/CDC.2007.4434814 ; null ; Conference date: 12-12-2007 Through 14-12-2007",

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doi = "10.1109/CDC.2007.4434814",

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Meinsma, G & Mirkin, L 2007, Noncausal sampled signal reconstruction from noisy measurements: a system-theoretic approach. in Proceedings of the 46th IEEE Conference on Decision and Control., 10.1109/CDC.2007.4434814, IEEE Control Systems Society, pp. 444-449, 46th IEEE Conference on Decision and Control, CDC 2007, New Orleans, Louisiana, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434814

Noncausal sampled signal reconstruction from noisy measurements: a system-theoretic approach. / Meinsma, Gjerrit; Mirkin, Leonid.

Proceedings of the 46th IEEE Conference on Decision and Control. IEEE Control Systems Society, 2007. p. 444-449 10.1109/CDC.2007.4434814.

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

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AU - Mirkin, Leonid

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N2 - The paper studies the problem of reconstructing a not necessarily bandlimited analog signal from its noisy sampled measurements. Both A/D and D/A devices are treated as design parameters and no causality constraints are imposed on the reconstructor. We derive closed-form formulae for both $L^2$- and $L^\infty$-optimal reconstructors as well as expressions for the optimal achievable performance in both cases.

AB - The paper studies the problem of reconstructing a not necessarily bandlimited analog signal from its noisy sampled measurements. Both A/D and D/A devices are treated as design parameters and no causality constraints are imposed on the reconstructor. We derive closed-form formulae for both $L^2$- and $L^\infty$-optimal reconstructors as well as expressions for the optimal achievable performance in both cases.

KW - EWI-11613

KW - IR-62071

KW - METIS-250853

U2 - 10.1109/CDC.2007.4434814

DO - 10.1109/CDC.2007.4434814

M3 - Conference contribution

SN - 1-4244-1498-9

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BT - Proceedings of the 46th IEEE Conference on Decision and Control

PB - IEEE Control Systems Society

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