scholarly journals Some Properties of Fractional Boas Transforms of Wavelets

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Nikhil Khanna ◽  
A. Zothansanga ◽  
S. K. Kaushik ◽  
Dilip Kumar

In this paper, we introduce fractional Boas transforms and discuss some of their properties. We also introduce the notion of wavelets associated with fractional Boas transforms and give some results related to their vanishing moments. Finally, a comparative study of Hilbert transforms and fractional Boas transforms is done.

2021 ◽  
Vol 22 (1) ◽  
pp. 139-155
Author(s):  
F. E. Gossler ◽  
B. R. Oliveira ◽  
M. A. Q. Duarte ◽  
J. Vieira Filho ◽  
F. Villarreal ◽  
...  

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.


2020 ◽  
Author(s):  
Bruno Oliveira Ferreira de Souza ◽  
Éve‐Marie Frigon ◽  
Robert Tremblay‐Laliberté ◽  
Christian Casanova ◽  
Denis Boire

2001 ◽  
Vol 268 (6) ◽  
pp. 1739-1748
Author(s):  
Aitor Hierro ◽  
Jesus M. Arizmendi ◽  
Javier De Las Rivas ◽  
M. Angeles Urbaneja ◽  
Adelina Prado ◽  
...  

1951 ◽  
Vol 18 (2) ◽  
pp. 224-229 ◽  
Author(s):  
Joseph T. Freeman ◽  
Roberta Hafkesbring

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