基于多重分形的爆破振动信号奇异性分析  

Multifractal's Application to Processing Blasting Vibration Signals

作　　者：周春华[1] 龙源[1] 蔡立艮[1] 晏俊伟[1] 裴平[1] 肖燕妮[1] 

机构地区：[1]中国人民解放军理工大学工程兵工程学院,江苏南京210007

出　　处：《爆破器材》2006年第4期7-10,共4页Explosive Materials

基　　金：国家自然科学基金项目(10372117)

摘　　要：为解决简单分形在爆破振动信号处理中的不足,提出了将多重分形用于分析爆破振动信号的思想。通过对某振动信号的处理得到爆破振动信号是典型的非平稳信号,具有多重分形的典型特征,属于多重分形的范畴。该信号的多重分形的分段函数说明爆破振动信号具有标度不变性;尺度指数τ(q)的分布情况反映了信号的奇异性;多重分形谱的形状呈现略向左的钩状分布,得到最大概率子集数目大于最小概率子集数目。因此多重分形较为准确地反映了爆破振动信号的奇异特征及其分布情况。Considering the fractal deficiency to processing blasting vibration signals, the multifractal was used. The multifractal spectrum and related parameters were calculated. Through analysis, some conclusions are drawn as follows： blasting vibration signal is very irregular and nonlinear. What＇s more, it has multifractal character; The subsection function indicates no-scale region and scale function r（q） reflects the signal＇s singular character; The number of the biggest probability subset is bigger than the smallest through the multifractal spectum. So the multifractal reflects the blasting vibration signals; singular and distribution.

关 键 词：爆破振动信号 分形 多重分形 多重分形谱 

分 类 号：TD235.1[矿业工程—矿井建设]