Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring

Authors

DOI:

https://doi.org/10.5540/tcam.2021.022.01.00139

Keywords:

Gaussian wavelets, Golden wavelets, Vanishing moments, Structural Health Monitoring

Abstract

In this work, a comparative analysis between Gaussian and Golden wavelets is presented. These wavelets are generated by the derivative of specific base functions. In this case, the order of the derivative also indicates the number of vanishing moments of the wavelet. Although these wavelets have a similar waveform, they have several distinct characteristics in time and frequency domains. These distinctions are explored here in the scale space. In order to compare the results provided by these wavelets for a real signal, they are used in the decomposition of a signal inserted in the context of structural health monitoring.

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Published

2021-04-17

How to Cite

Gossler, F. E., Oliveira, B. R., Duarte, M. A. Q., Vieira Filho, J., Villarreal, F., & Lamblém, R. L. (2021). Gaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring. Trends in Computational and Applied Mathematics, 22(1), 139–155. https://doi.org/10.5540/tcam.2021.022.01.00139

Issue

Vol. 22 No. 1 (2021)

Section

Original Article

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