小波包与分形组合技术在爆破振动信号分析中的应用研究

谢全民;龙源;钟明寿;刘好全;周翔

振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 11-15.

PDF(1755 KB)
PDF(1755 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 11-15.
论文

小波包与分形组合技术在爆破振动信号分析中的应用研究

  • 谢全民1,2;龙源1;钟明寿1;刘好全1;周翔1
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WAVELET PACKET AND FRACTAL TECHNOLOGY IN THE APPLICATION RESEARCH OF BLASTING VIBRATION SIGNAL ANALYSIS

  • XIE Quan-min1,2; LONG Yuan1; ZHONG Ming-shou1; LIU Hao-quan1; ZHOU xiang1
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摘要

基于小波包、分形技术的相似性,提出采用小波包、分形组合技术对爆破振动信号进行组合分析。采用小波包对爆破振动信号进行分解,通过各主分析小波包的重构系数验证了爆破振动信号的分形特性,通过对各主分析小波包的盒维数值进行分析及对比,更加细致地分析出爆破振动信号不同频带分量分形维数的变化。组合分析表明,盒维数值随着爆破振动信号小波分量频率高低而变化,提出将盒维数作为反映爆破振动信号频率成分的一个重要参量。小波包与分形组合分析技术的提出为研究爆破振动信号分形特征提供了新的研究思路。



Abstract

Based on the comparability of wavelet packet and fractal technology, wavelet packet and fractal combination technology is proposed to analyze blasting vibration signals. Using wavelet packet to decom-pose blasting vibration signals, through the analysis of the main wavelet packet reconstruction coefficients of blasting vibration signals, the fractal characteristics were verified, through the analysis and comparison to the box-counting dimension of the main wavelet packets, the fractal dimension changes of different blasting vi-bration signal frequency components can be analyzed further. The combination analysis shows that, box-counting dimension changes with wavelet components frequency of blasting vibration signals,so we put the box counting dimension as an important parameter, which reflect frequency characteristic of blasting vi-bration signals. Wavelet packet and fractal technology will provide us new ideas for the fractal features re-search of blasting vibration signals.

关键词

小波包变换 / 分形 / 盒维数 / 组合分析

Key words

wavelet packet transform / fractal / box-counting dimension / combination analysis

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谢全民;龙源;钟明寿;刘好全;周翔. 小波包与分形组合技术在爆破振动信号分析中的应用研究[J]. 振动与冲击, 2011, 30(1): 11-15
XIE Quan-min;LONG Yuan;ZHONG Ming-shou;LIU Hao-quan;ZHOU xiang. WAVELET PACKET AND FRACTAL TECHNOLOGY IN THE APPLICATION RESEARCH OF BLASTING VIBRATION SIGNAL ANALYSIS[J]. Journal of Vibration and Shock, 2011, 30(1): 11-15

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