L2 signal reconstruction with FIR and steady-state behavior constraints

Yaron Levinson; Leonid Mirkin

doi:10.1109/CDC.2011.6161505

L² signal reconstruction with FIR and steady-state behavior constraints

Yaron Levinson, Leonid Mirkin

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

2 Scopus citations

Abstract

The problem of recovering an analog signal from discrete measurements, known as signal reconstruction, can be formulated as a sampled-data L ² fixed-lag smoothing problem. In this paper the problem is solved under the constraint that the reconstructor is an FIR (finite impulse response) system. An analytic and numerically stable solution, whose computational complexity is linear in the length of the reconstructor impulse response, is derived. The formulation can accommodate steady-state constraints via the use of weights with imaginary axis eigenvalues and imposing the stability requirement on the error system.

Original language	English
Title of host publication	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Publisher	Institute of Electrical and Electronics Engineers
Pages	7287-7292
Number of pages	6
ISBN (Print)	9781612848006
DOIs	https://doi.org/10.1109/CDC.2011.6161505
State	Published - 1 Jan 2011
Externally published	Yes
Event	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States Duration: 12 Dec 2011 → 15 Dec 2011

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Country/Territory	United States
City	Orlando, FL
Period	12/12/11 → 15/12/11

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/CDC.2011.6161505

Cite this

Levinson, Y., & Mirkin, L. (2011). L² signal reconstruction with FIR and steady-state behavior constraints. In 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (pp. 7287-7292). Article 6161505 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2011.6161505

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abstract = "The problem of recovering an analog signal from discrete measurements, known as signal reconstruction, can be formulated as a sampled-data L 2 fixed-lag smoothing problem. In this paper the problem is solved under the constraint that the reconstructor is an FIR (finite impulse response) system. An analytic and numerically stable solution, whose computational complexity is linear in the length of the reconstructor impulse response, is derived. The formulation can accommodate steady-state constraints via the use of weights with imaginary axis eigenvalues and imposing the stability requirement on the error system.",

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Levinson, Y & Mirkin, L 2011, L² signal reconstruction with FIR and steady-state behavior constraints. in 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6161505, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers, pp. 7287-7292, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6161505

L² signal reconstruction with FIR and steady-state behavior constraints. / Levinson, Yaron; Mirkin, Leonid.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers, 2011. p. 7287-7292 6161505 (Proceedings of the IEEE Conference on Decision and Control).

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

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