Accurate estimation of evolutionary power spectra for strongly narrow-band random fields

Dominik Schillinger, Vissarion Papadopoulos

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

One of the most widely used techniques for the simulation of non-homogeneous random fields is the spectral representation method. Its key quantity is the power spectrum, which characterizes the random field in terms of frequency content and spatial evolution in a mean square sense. The paper at hand proposes a method for the estimation of separable power spectra from a series of samples, which combines accurate spectrum resolution in space with an optimum localization in frequency. For non-separable power spectra, it can be complemented by a joint strategy, which is based on the partitioning of the space-frequency domain into several sub-spectra that have to be separable only within themselves. Characteristics and accuracy of the proposed method are demonstrated for analytical benchmark spectra, whose estimates are compared to corresponding results of established techniques based on the shorttime Fourier, the harmonic wavelet and the Wigner-Ville transforms. It is then shown by a practical example from stochastic imperfection modeling in structures that in the presence of strong narrowbandedness in frequency, the proposed method for separable random fields leads to a considerable improvement of estimation results in comparison to the established techniques.

Original languageEnglish (US)
Pages (from-to)947-960
Number of pages14
JournalComputer Methods in Applied Mechanics and Engineering
Volume199
Issue number17-20
DOIs
StatePublished - Mar 1 2010

Bibliographical note

Funding Information:
The imperfection measurements in I-sections have been kindly provided by Prof. Kim Rasmussen from the University of Sydney. During his stay at NTU Athens, the first author has been partially supported by the German Academic Exchange Service (Deutscher Akademischer Austausch Dienst) and the German National Academic Foundation (Studienstiftung des deutschen Volkes). All support is gratefully acknowledged.

Keywords

  • Evolutionary power spectrum estimation
  • Method of separation
  • Narrow-band random fields
  • Space-frequency localization
  • Spectral representation

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