System theoretic perspectives of the sampling theorem

Gjerrit Meinsma, Leonid Mirkin

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

13 Downloads (Pure)

Abstract

In this paper we study the (classical) problem of reconstructing a continuous-time signal from its samples. We adopt a system-theoretical viewpoint of this problem. Namely, we assume that the continuous-time signal is modeled as the output of a linear time-invariant system and then formulate the reconstruction problem as the (either $L^2$ or $L^\infty$) optimal model-matching problem in the lifted domain. This leads to an alternative proof of the celebrated Sampling Theorem and some interesting extensions.
Original languageUndefined
Title of host publicationProceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
Place of PublicationKyoto
PublisherElsevier
Pages730-741
Number of pages12
ISBN (Print)not assigned
Publication statusPublished - Jul 2006
Event17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan
Duration: 24 Jul 200628 Jul 2006
Conference number: 17

Publication series

NameProceedings of the International Symposium on Mathematical Theory of Networks and Systems
Numbersupplement
Volume17

Conference

Conference17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
Abbreviated titleMTNS
CountryJapan
CityKyoto
Period24/07/0628/07/06

Keywords

  • EWI-8185
  • IR-66616
  • METIS-237624

Cite this

Meinsma, G., & Mirkin, L. (2006). System theoretic perspectives of the sampling theorem. In Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (pp. 730-741). (Proceedings of the International Symposium on Mathematical Theory of Networks and Systems; Vol. 17, No. supplement). Kyoto: Elsevier.
Meinsma, Gjerrit ; Mirkin, Leonid. / System theoretic perspectives of the sampling theorem. Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. Kyoto : Elsevier, 2006. pp. 730-741 (Proceedings of the International Symposium on Mathematical Theory of Networks and Systems; supplement).
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Meinsma, G & Mirkin, L 2006, System theoretic perspectives of the sampling theorem. in Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. Proceedings of the International Symposium on Mathematical Theory of Networks and Systems, no. supplement, vol. 17, Elsevier, Kyoto, pp. 730-741, 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006, Kyoto, Japan, 24/07/06.

System theoretic perspectives of the sampling theorem. / Meinsma, Gjerrit; Mirkin, Leonid.

Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. Kyoto : Elsevier, 2006. p. 730-741 (Proceedings of the International Symposium on Mathematical Theory of Networks and Systems; Vol. 17, No. supplement).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

TY - GEN

T1 - System theoretic perspectives of the sampling theorem

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N2 - In this paper we study the (classical) problem of reconstructing a continuous-time signal from its samples. We adopt a system-theoretical viewpoint of this problem. Namely, we assume that the continuous-time signal is modeled as the output of a linear time-invariant system and then formulate the reconstruction problem as the (either $L^2$ or $L^\infty$) optimal model-matching problem in the lifted domain. This leads to an alternative proof of the celebrated Sampling Theorem and some interesting extensions.

AB - In this paper we study the (classical) problem of reconstructing a continuous-time signal from its samples. We adopt a system-theoretical viewpoint of this problem. Namely, we assume that the continuous-time signal is modeled as the output of a linear time-invariant system and then formulate the reconstruction problem as the (either $L^2$ or $L^\infty$) optimal model-matching problem in the lifted domain. This leads to an alternative proof of the celebrated Sampling Theorem and some interesting extensions.

KW - EWI-8185

KW - IR-66616

KW - METIS-237624

M3 - Conference contribution

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T3 - Proceedings of the International Symposium on Mathematical Theory of Networks and Systems

SP - 730

EP - 741

BT - Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems

PB - Elsevier

CY - Kyoto

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Meinsma G, Mirkin L. System theoretic perspectives of the sampling theorem. In Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. Kyoto: Elsevier. 2006. p. 730-741. (Proceedings of the International Symposium on Mathematical Theory of Networks and Systems; supplement).