It is well known that Mathematics and Physics are two distinguished disciplines that in the meantime are often strictly interconnected for teaching purposes. Mathematics furnishes useful tools for Physics and, on the other hand, Physics, together with its laboratory activities, can facilitate the clarification of Mathematics concepts, especially when they do not have a straightforward meaning. For this reason, in teaching wavelet analysis it is often advantageous to adopt an integrated mathematical and physical approach. In this chapter, we report the results obtained by the application of a wavelet analysis on two Physics experiments, i.e., the motion of a variable mass pendulum and the motion of a variable length pendulum. These two motions, which furnish non stationary signals, are analyzed by means of comparative Fourier Transform (FT) and Wavelet Transform (WT) approaches. Through these two laboratory experiments it is shown how, contrarily to FT that furnishes only an average frequency value for the non stationary signal, WT allows to get information on the time evolution of the frequencies content, i.e., it allows a joint time-frequency analysis
Wavelet approach in physics education
S. Magazù
Primo
;M. T. CaccamoUltimo
2018-01-01
Abstract
It is well known that Mathematics and Physics are two distinguished disciplines that in the meantime are often strictly interconnected for teaching purposes. Mathematics furnishes useful tools for Physics and, on the other hand, Physics, together with its laboratory activities, can facilitate the clarification of Mathematics concepts, especially when they do not have a straightforward meaning. For this reason, in teaching wavelet analysis it is often advantageous to adopt an integrated mathematical and physical approach. In this chapter, we report the results obtained by the application of a wavelet analysis on two Physics experiments, i.e., the motion of a variable mass pendulum and the motion of a variable length pendulum. These two motions, which furnish non stationary signals, are analyzed by means of comparative Fourier Transform (FT) and Wavelet Transform (WT) approaches. Through these two laboratory experiments it is shown how, contrarily to FT that furnishes only an average frequency value for the non stationary signal, WT allows to get information on the time evolution of the frequencies content, i.e., it allows a joint time-frequency analysisFile | Dimensione | Formato | |
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