Abstract
Based on the same blasting vibration signal, the S transform and HHT method have been applied for the time and frequency analysis. Both the S transform and HHT method are analyzed and compared from the point of decomposition path and analysis function. It expressed that these two methods are complete and effective and have the characteristics of adaptive multiresolution. Especially, the time resolution of the HHT method is invariable and its accuracy is high. Moreover, its frequency resolution can be adaptively adjusted with the inherent characteristics of the signal. However, the time and frequency resolution of the S transform are limited by the uncertainty principle, and the resolution improvement is at the cost of reducing the resolution of another. Furthermore, the HHT method has much more adaptability and is superior to S transform in the analysis of nonstationary signals. In advance, the waveform curve and power spectral density of each detonator are extracted, which indicates that it is not scientific to use different segment detonators for the same circle of the auxiliary hole. Under the premise of the same charge quantity, the vibration energy peak value produced by the same segment detonator is less than that of several segments of detonators. Therefore, it is believed that the HHT method has broad application prospects in the study of wave propagation, attenuation law, structural dynamic response characteristics, and blasting vibration damage in rocks.
Highlights
Blasting vibration is an unavoidable hazard to the surrounding environment in the blasting excavation process
Blasting vibration signals could be analyzed and processed by various digital signal processing methods, and the time and frequency can be extracted. en the main characteristic information of the signals can be comprehensively analyzed by time-frequency processing methods. ose have been widely used such as the traditional Fourier transform, short-time Fourier transform, and wavelet transform [14,15,16,17]
The S transform is closely related to wavelet transform and can be regarded as the deformation of the continuous wavelet transform
Summary
Blasting vibration is an unavoidable hazard to the surrounding environment in the blasting excavation process. A new method for analyzing and processing the timefrequency distribution of nonstationary data signal is proposed, which is HHT (Hilbert–Huang Transform) method [18, 19] It consists of two parts, i.e., Huang transform and Hilbert spectrum analysis. For the Hilbert spectrum analysis, it is to transform the Hilbert spectrum with a finite number of IMF components obtained by EMD so as to obtain the distribution spectrum of energy in the time-frequency plane, namely, the Hilbert spectrum. By integrating the Hilbert spectrum, the energy spectrum could be well obtained, which can be used to analyze the energy distribution of vibration signals varied with time and frequency. E time-frequency processing methods of signal mainly include wavelet transform and EMD. Wavelet S transform and HHT transform methods are selected to effectively extract the time-frequency and energy distribution characteristics of the blasting vibration signal. Narrow time-domain wavelet has better local timeliness, Quantitative description of local timewide time-domain wavelet has better local frequencies. frequency characteristics of signals
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