[1]张朝晖,黄惟一.振动波形的分形判别及特征提取[J].东南大学学报(自然科学版),1999,29(4):26-29.[doi:10.3969/j.issn.1001-0505.1999.04.006]
 Zhang Zhaohui,Huang Weiyi.Fractal Determination and Feature Extraction from Vibration Waveforms[J].Journal of Southeast University (Natural Science Edition),1999,29(4):26-29.[doi:10.3969/j.issn.1001-0505.1999.04.006]
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振动波形的分形判别及特征提取()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
29
期数:
1999年第4期
页码:
26-29
栏目:
数学、物理学、力学
出版日期:
1999-07-20

文章信息/Info

Title:
Fractal Determination and Feature Extraction from Vibration Waveforms
作者:
张朝晖 黄惟一
东南大学仪器科学与工程系,南京 210096
Author(s):
Zhang Zhaohui Huang Weiyi
Department of Instrument Science and Engineering, Southeast University, Nanjing 210096
关键词:
振动波形 特征提取 分形 盒维数 付里叶变换
Keywords:
vibration waveforms feature extraction fractal box dimension FFT
分类号:
O329;TP277;TB113;O174.2
DOI:
10.3969/j.issn.1001-0505.1999.04.006
摘要:
首先给出了寻找振动波形的无标度区的方法.波形在无标度区内可视为无规分形,利用文中的公式可以求得波形的盒维数.振动测试的试验表明,波形确实存在无标度区; 盒维数作为波形的一个重要特征,可以用于对振动状态的分类识别; 与频域模态参数识别的方法相比较,盒维数方法更简单易行.
Abstract:
A method of locating the non-scale region is presented for a complex vibration waveform. In the non-scale region, the waveform can be regarded as fractal, and its box dimension can be found out through the formulas given in the paper. Experimental results show that the box dimension as a fractal feature is fitter to classify some waveforms, and simpler computation than FFT. 

参考文献/References:

[1] 张济忠.分形.北京:清华大学出版社,1995.120~122
[2] Hasegawa M.Study on fractal characteristics of ARMA model.J of Manufacturing Sci and Eng,1996,118(4):677~680
[3] 李后强.分形理论及其在分子科学中的应用.北京:科学出版社,1993.190~195
[4] Grassberger P.Characterization of strange attractors.Physical Review Letters,1983,50(5):346~349

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备注/Memo

备注/Memo:
基金项目:江苏省科技发展计划资助项目(BJ97026).
第一作者:男,1965年生,博士研究生,副教授.
更新日期/Last Update: 1999-07-20