### Abstract

Optimal selection of the sampling interval for estimation of the modal parameters by an ARMA-model for a white noise loaded structure modelled as a single degree of- freedom linear mechanical system is considered. An analytical solution for an optimal uniform sampling interval, which is optimal in a Fisherian sense, is given. The solution is investigated by a simulation study. It is shown that if the experimental length T1 is fixed it may be useful to sample the record at a high sampling rate, since more measurements from the system are then collected. No optimal sampling interval exists. But if the total number of sample points N is fixed an optimal sampling interval exists. Then it is far worse to use a too large sampling interval than a too small one since the information losses increase rapidly when the sampling interval increases from the optimal value.

Original language | English |
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Title of host publication | 11th International Modal Analysis Conference : Febuary 1-4, 1993 Kissimme, Florida |

Number of pages | 7 |

Volume | 1 |

Place of Publication | Bethel, Connecticut |

Publisher | Society for Experimental Mechanics |

Publication date | 1993 |

Pages | 240-246 |

ISBN (Print) | 0-912053-41-0 |

Publication status | Published - 1993 |

Event | The International Modal Analysis Conference - Hyatt Orlando Hotel, Kissimmee, Florida, United States Duration: 1 Feb 1993 → 4 Feb 1993 Conference number: 11 |

### Conference

Conference | The International Modal Analysis Conference |
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Number | 11 |

Location | Hyatt Orlando Hotel |

Country | United States |

City | Kissimmee, Florida |

Period | 01/02/1993 → 04/02/1993 |

Series | IMAC |
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Volume | 1 |

ISSN | 1046-6770 |

### Keywords

- Sampling Interval
- ARMA-Models
- Experimental Design

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## Cite this

Kirkegaard, P. H. (1993). Optimal Selection of the Sampling Interval for Estimation of Modal Parameters by an ARMA- Model. In

*11th International Modal Analysis Conference: Febuary 1-4, 1993 Kissimme, Florida*(Vol. 1, pp. 240-246). Society for Experimental Mechanics. IMAC, Vol.. 1