System theoretic perspectives of the sampling theorem

Gjerrit Meinsma; Leonid Mirkin

System theoretic perspectives of the sampling theorem

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

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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 language	Undefined
Title of host publication	Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems
Place of Publication	Kyoto
Publisher	Elsevier
Pages	730-741
Number of pages	12
ISBN (Print)	not assigned
Publication status	Published - Jul 2006
Event	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006 - Kyoto, Japan Duration: 24 Jul 2006 → 28 Jul 2006 Conference number: 17

Publication series

Name	Proceedings of the International Symposium on Mathematical Theory of Networks and Systems
Number	supplement
Volume	17

Conference

Conference	17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006
Abbreviated title	MTNS
Country/Territory	Japan
City	Kyoto
Period	24/07/06 → 28/07/06

Keywords

EWI-8185
IR-66616
METIS-237624

Access to Document

http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf

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). Elsevier. http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf

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title = "System theoretic perspectives of the sampling theorem",

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.",

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author = "Gjerrit Meinsma and Leonid Mirkin",

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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. <http://www-ics.acs.i.kyoto-u.ac.jp/~mtns2006/MTNS2006.pdf>

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 proceeding › Conference contribution › Academic

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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.

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KW - IR-66616

KW - METIS-237624

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

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T2 - 17th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2006

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