Alternative Propositions of Cross Wavelet Analysis for Use in a Transient Detection Problem

A. Schuck Jr.; A. Balbinot; J. R. Zabadal; B. E. J. Bodmann

doi:10.15866/ireche.v5i6.6945

Alternative Propositions of Cross Wavelet Analysis for Use in a Transient Detection Problem

A. Schuck Jr.^(1*), A. Balbinot⁽²⁾, J. R. Zabadal⁽³⁾, B. E. J. Bodmann⁽⁴⁾

^(*) Corresponding author

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Abstract

This work presents the definitions of Cross Wavelet Analysis and proposes alternatives for Wavelet Power Spectrum, Wavelet Cross Spectrum and Wavelet Coherence in a similar way as the Wiener-Khinchine relations to circumvent some shortcomings when the traditional definitions are used for detecting non synchronized transients in a Gaussian noise. To exemplify the afore mentioned issue, a detection problem is shown next with simulated signals and both definitions are used on those signals. A comparison between the results is then performed, pointing the aspects of each technique
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Keywords

Continuous Wavelet Transform; Scalogram; Wavelet Power Spectrum; Wavelet Cross Spectrum; Wavelet Coherence; Correlation Analysis

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