Multiscale analysis of geomagnetic data using the continuous wavelet transform: A case study from Hoggar (Algeria)

2010 ◽  
Author(s):  
Sid‐Ali Ouadfeul ◽  
Leila Aliouane ◽  
Said Eladj
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Multiscale Analysis ◽  
Continuous Wavelet ◽  
Geomagnetic Data

A continuous wavelet transform analysis of multiparticle emission data at SPS energies

2019 ◽  
Vol 28 (03) ◽  
pp. 1950016
Author(s):  
Gopa Bhoumik ◽  
Argha Deb ◽  
Swarnapratim Bhattacharyya ◽  
Dipak Ghosh
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Multiscale Analysis ◽  
Experimental Results ◽  
Rapidity Distribution ◽  
Continuous Wavelet ◽  
Emission Data ◽  
Wavelet Transform Analysis ◽  
Bose Einstein ◽  
Einstein Correlation

Continuous wavelet transform approach has been applied to the pseudo-rapidity distribution of shower tracks produced in [Formula: see text]O–AgBr interactions at 60[Formula: see text]AGeV and [Formula: see text]S–AgBr interactions at 200[Formula: see text]AGeV. Multiscale analysis of wavelet pseudo-rapidity spectra has been performed in order to find out the overabundance of produced tracks at some preferred pseudo-rapidity values, i.e., production of particle clusters. Presence of ring-like correlation is not confirmed from the analysis in pseudo-rapidity space only. The clusterization effect may be attributed to the presence of Bose–Einstein correlation among the produced tracks. Comparison of experimental results with that obtained from analyzing events generated by FRITIOF and UrQMD codes is not reproduced.

scholarly journals On alternative wavelet reconstruction formula: a case study of approximate wavelets

2014 ◽  
Vol 1 (2) ◽  
pp. 140124 ◽  
Author(s):  
Elena A. Lebedeva ◽  
Eugene B. Postnikov
Keyword(s):  
Wavelet Transform ◽  
Wide Class ◽  
Continuous Wavelet Transform ◽  
Morlet Wavelet ◽  
Continuous Wavelet ◽  
Reconstruction Formula ◽  
Physical Processes ◽  
Admissibility Condition ◽  
Oscillatory Dynamics

The application of the continuous wavelet transform to the study of a wide class of physical processes with oscillatory dynamics is restricted by large central frequencies owing to the admissibility condition. We propose an alternative reconstruction formula for the continuous wavelet transform, which is applicable even if the admissibility condition is violated. The case of the transform with the standard reduced Morlet wavelet, which is an important example of such analysing functions, is discussed.

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