The singular spectrum analysis of blasting vibration signal based on WTMM
MA Rui-heng · Baozha yu chongji · 2004
Blasting vibration signal is very irregular and nonlinear and it is very important to analyze its multi-fractal spectrum (singular spectrum). However, the analysis will be inaccurate and incomprehensive if only part of the fractal dimensions is taken into account. In this paper, the method of singular spectrum based on wavelet transform modulus maxima (WTMM) is discussed, and by this method a typical blasting vibration signal has been analyzed. The partition function Z(q,a), scaling exponent τ(q) and singular spectrum f(α) are computed and their variation are presented. At the same time, the multi-factal features of the signal are discussed. The sudden changes of the signal are found to occur mainly on α1, and the singular exponent α of the signal ranges from 0.28 to 0.72.