Open AccessGaussian and Golden Wavelets: A Comparative Study and their Applications in Structural Health Monitoring
Author(s) -
Fabrı́cio Ely Gossler,
Bruno Rodrigues de Oliveira,
Marco Aparecido Queiroz Duarte,
Jozué Vieira Filho,
Francisco Villarreal,
Regina Litz Lamblém
Publication year - 2021
Publication title -
trends in computational and applied mathematics
Language(s) - English
Resource type - Journals
ISSN - 2676-0029
DOI - 10.5540/tcam.2021.022.01.00139
Subject(s) - wavelet , legendre wavelet , gabor wavelet , context (archaeology) , gaussian , computer science , mathematics , discrete wavelet transform , artificial intelligence , wavelet transform , geography , computational chemistry , chemistry , archaeology
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.