Information science: On the choice of sampling rates in parametric identification of time series

  • Authors:
  • K. J. Åström

  • Affiliations:
  • -

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 1969

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Abstract

Aliasing gives a lower bound for the sampling rate in ordinary spectral analysis of a time series. In parametric it appears at first sight that no such limitations are present. In this note we will obtain insight into this paradox by analyzing a simple Gauss-Markov process. We assume that a time series analysis is performed based on N samples of the series at equal spacing h. The result shows that there is an optimal choice of h and that the variance increases rapidly when h increases from the optimal value. The analysis of a time series of fixed length T with different number of samplings is also discussed.