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Heuristic spectral estimation of bivariate nonstationary processes

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A heuristic technique is developed for the estimation of auto-spectra and cross-spectra of multivariate nonstationary random processes which are used as models of earthquake accelerograms. The spectra are estimated by considering the statistical moments of the energy of linear systems (filters) excited by the stochastic seismic processes. The usefulness of the proposed technique is demonstrated by examples.


Si propone una tecnica euristica per la determinazione degli spettri di processi aleatori non-stazionari multivariati, che vengono usati come modelli di accelerogrammi sismici. Gli spettri sono valutati considerando i momenti statistici dell'energia di sistemi lineari (filtri) eccitati dai processi sismici aleatori. Alcuni esempi dimostrano l'utilità della tecnica proposta.

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Spanos, P.D., Tein, W.-. & Ghanem, R.G. Heuristic spectral estimation of bivariate nonstationary processes. Meccanica 31, 207–218 (1996). https://doi.org/10.1007/BF00426261

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Key words

  • Random processes
  • Spectral estimation
  • Nonstationarity
  • Earthquake inputs
  • Structural dynamics