### Abstract

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 | Japan |

City | Kyoto |

Period | 24/07/06 → 28/07/06 |

### Keywords

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

### Cite this

*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.

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*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.

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

TY - GEN

T1 - System theoretic perspectives of the sampling theorem

AU - Meinsma, Gjerrit

AU - Mirkin, Leonid

PY - 2006/7

Y1 - 2006/7

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

SN - not assigned

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

ER -