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Trend term and noise removal method for blasting vibration signals based on Fourier decomposition
Yan Zhao1,2, Lujun Yin2, Wenzhe Zhang2
1China Hebei Construction & Geotechnical Investigation Group Ltd., Shijiazhuang, 050200, Hebei, China.
Scientific Reports
|May 27, 2026
Summary
Fourier decomposition-based (FDM) method effectively removes trend and noise from blasting vibration signals. This advanced signal processing technique enhances analysis accuracy, outperforming existing methods like EMD and VMD.
Area of Science:
- Geotechnical Engineering
- Signal Processing
- Vibration Analysis
Background:
- Blasting vibration signals contain trend and noise, hindering accurate analysis.
- Existing adaptive decomposition methods struggle to effectively remove these components.
Purpose of the Study:
- Develop an optimized Fourier decomposition-based (FDM) preprocessing method for blasting vibration signals.
- Evaluate FDM's effectiveness in separating signal components and compare it with other decomposition techniques.
Main Methods:
- Optimized key parameters of FDM: cross-correlation threshold, ultra-low-frequency energy threshold, and decomposition search path (LTH-FS).
- Systematically examined FDM's sensitivity to ultra-low-frequency energy thresholds.
- Established a criterion for identifying valid signal components.
Main Results:
- FDM effectively separates low-frequency trends, high-frequency noise, and meaningful signal information.
- The Low-to-High Frequency Searching (LTH-FS) path showed superior decomposition performance.
- FDM-processed signals achieved a signal-to-noise ratio of 23.2406 and RMSE of 0.0246, outperforming EMD, CEEMDAN, and VMD.
Conclusions:
- FDM is a high-precision preprocessing method for blasting vibration signals.
- The optimized FDM demonstrated superior performance in enhancing signal clarity and accuracy.
- Validated FDM's effectiveness through case studies on tunnel blasting projects.
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