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

英文篇名：Application of wavelet packet and fractal combination technology in blasting vibration signal analysis
中文刊名：振动与冲击
英文刊名：Journal of Vibration and Shock
作者：谢全民 ; 龙源 ; 钟明寿 ; 刘好全 ; 周翔
英文作者：XIE Quan-min~(1 ; 2) ; LONG Yuan~1 ; ZHONG Ming-shou~1 ; LIU Hao-quan~1 ; ZHOU Xiang~1 (1.Engineering Institute of Engineering Corps ; University of Science & Technology of PLA ; Nanjing 210007 ; China ; 2.63988 Troops ; PLA. ; Jincheng 048000 ; China)
中文关键词：小波包变换 ; 分形 ; 盒维数 ; 组合分析
英文关键词：wavelet packet transformation ; fractal ; box-counting dimension ; combination analysis
出版日期：2011-01-25
机构：解放军理工大学工程兵工程学院;中国人民解放军63988部队;
年：2011
期：01
出版单位：振动与冲击

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。
Based on the comparability of wavelet packet and fractal technology,wavelet packet and fractal combination technology was proposed to analyze blasting vibration signals.Using wavelet packet to decompose blasting vibration signals,through analyzing the main wavelet packet reconstruction coefficients of blasting vibration signals,their fractal characteristics were verified,through analyzing and comparing the box-counting dimensions of the main wavelet packets, the fractal dimension changes of different frequency components of blasting vibration signals could be analyzed further.The combination analysis showed that the box-counting dimension changes with the frequency of wavelet components of blasting vibration signals,so the box counting dimension is an important parameter which reflects frequency characteristic of blasting vibration signals.Wavelet packet and fractal combination technology provided a new idea for fractal features study on blasting vibration signals.

引文

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