Sampled signal reconstruction via H2 optimization

Gjerrit Meinsma, Leonid Mirkin

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H2 smoothing problem. Both infinite (non-causal reconstructor) and finite (reconstructor with relaxed causality) preview cases are considered. The optimal reconstructors are in the form of the cascade of a discrete-time smoother and a generalized hold (interpolator). In the particular case of reconstructing polynomial signals with infinite preview, the proposed procedure recovers the cardinal B-spline reconstructors.
Original languageUndefined
Title of host publicationIEEE International Conference on Acoustics, Speech and Signal Processing
PublisherIEEE Signal Processing Society
PagesIII-365-III-368
Number of pages4
ISBN (Print)1-4244-0469-X
DOIs
Publication statusPublished - May 2006

Publication series

Name
PublisherIEEE Signal Processing Society
Numbersupplement
VolumeIII
ISSN (Print)1520-6149

Keywords

  • EWI-8186
  • IR-66617
  • METIS-237625

Cite this

Meinsma, G., & Mirkin, L. (2006). Sampled signal reconstruction via H2 optimization. In IEEE International Conference on Acoustics, Speech and Signal Processing (pp. III-365-III-368). [10.1109/ICASSP.2006.1660666] IEEE Signal Processing Society. https://doi.org/10.1109/ICASSP.2006.1660666
Meinsma, Gjerrit ; Mirkin, Leonid. / Sampled signal reconstruction via H2 optimization. IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE Signal Processing Society, 2006. pp. III-365-III-368
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Meinsma, G & Mirkin, L 2006, Sampled signal reconstruction via H2 optimization. in IEEE International Conference on Acoustics, Speech and Signal Processing., 10.1109/ICASSP.2006.1660666, IEEE Signal Processing Society, pp. III-365-III-368. https://doi.org/10.1109/ICASSP.2006.1660666

Sampled signal reconstruction via H2 optimization. / Meinsma, Gjerrit; Mirkin, Leonid.

IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE Signal Processing Society, 2006. p. III-365-III-368 10.1109/ICASSP.2006.1660666.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H2 smoothing problem. Both infinite (non-causal reconstructor) and finite (reconstructor with relaxed causality) preview cases are considered. The optimal reconstructors are in the form of the cascade of a discrete-time smoother and a generalized hold (interpolator). In the particular case of reconstructing polynomial signals with infinite preview, the proposed procedure recovers the cardinal B-spline reconstructors.

AB - In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H2 smoothing problem. Both infinite (non-causal reconstructor) and finite (reconstructor with relaxed causality) preview cases are considered. The optimal reconstructors are in the form of the cascade of a discrete-time smoother and a generalized hold (interpolator). In the particular case of reconstructing polynomial signals with infinite preview, the proposed procedure recovers the cardinal B-spline reconstructors.

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Meinsma G, Mirkin L. Sampled signal reconstruction via H2 optimization. In IEEE International Conference on Acoustics, Speech and Signal Processing. IEEE Signal Processing Society. 2006. p. III-365-III-368. 10.1109/ICASSP.2006.1660666 https://doi.org/10.1109/ICASSP.2006.1660666