A Comparison of Signal Processing Tools: Higher Order Spectra Versus Higher Order Coherences

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Abstract

A class of signal processing tools, Higher Order Spectra (HOS) and their normalised amplitudes Higher Order Coherences (HOC) have been receiving attentions in numerous applications, including Health Monitoring (HM) techniques for structures and machines. It is however difficult to decide which of the tools (HOS or HOC) gives the best diagnostic features. In this paper,HOSand HOCs have been compared using numerically simulated signals with and without noise. The Cross-power Spectral Density (CSD) between two signals and its ordinary coherence are also compared. The results and observations on the different spectra and their coherences are discussed here. It is observed that the use of the HOS may be more advantageous over the HOC analysis.
Original languageEnglish
Pages (from-to)461-472
Number of pages12
JournalJournal of Vibrational Engineering and Technologies
Volume3
Issue number4
Publication statusPublished - 24 Aug 2015

Keywords

  • Cross-power spectrum, Bispectrum, Trispectrum, Ordinary coherence, Bicoherence, Tricoherence
  • Bicoherence
  • Bispectrum
  • Ordinary coherence
  • Tricoherence
  • Trispectrum

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