On the Development of an Alternative Proposition of Cross Wavelet Analysis for Transient Discrimination Problems

  • Adalberto SchuckJr.
  • Bardo E. J. BodmannEmail author


This work presents the classical definitions of Cross Wavelet Analysis and proposes new definitions for Wavelet Power Spectrum, Wavelet Cross Spectrum and Wavelet Coherence in a similar way as the Wiener-Khintchine relations to solve shortcomings of the traditional definitions for detecting non-synchronized transients in a Gaussian noise. A detection problem is proposed with simulated signals and both definitions are used for signal analysis. A comparison between the results is then presented, pointing out the aspects of each technique and finally shows that the new definition identifies the transients.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Electrical Engineering Department (DELET)UFRGSPorto AlegreBrazil
  2. 2.Mechanical Engineering Department (DEMEC)(UFRGS)Porto AlegreBrazil

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