Phenomenological implications for exclusive decay channels are pointed out. First we analyze the force signal by the continuous wavelet transform. This time-frequency method is able to locate precisely the moment of the rupture, if any, and also to detect the frequencies that are excited at the impact. In a second part, we perform a theoretical analysis of the event, both by an analytical method and by finite element modelling. These theoretical results confirm the experimental ones obtained in the first part.
Wavelets are the most popular time-scale analysis tool.
However spectroscopists are more familiar with frequency than scale. We explain a time-frequency solution to this problem based on Gabor analysis. As the two formalisms are closely linked together we continuously emphasize their similarities and differences. In particular we show that, here, the Gabor method is as efficient as the wavelet approach, and give some examples. We proceed to determine the charges of the fields in the various Hilbert spaces, but, in a general minimal model, many consistent solutions occur.