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

Adalberto Schuck and Bardo E. J. Bodmann ()
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Adalberto Schuck: UFRGS, Electrical Engineering Department (DELET)
Bardo E. J. Bodmann: (UFRGS), Mechanical Engineering Department (DEMEC)

Chapter Chapter 32 in Integral Methods in Science and Engineering, 2019, pp 409-423 from Springer

Abstract: Abstract 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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_32

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DOI: 10.1007/978-3-030-16077-7_32

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