摘要
提出了二进离散小波的能量谱的分析方法 ,给出了实用的计算公式 ,论述了其可行性。导出了二进离散小波的能量频谱与离散信号频谱之间的关系。应用该分析方法有效地检测出了时域微弱奇异信号和频域微弱特征信号。能量时谱使二进离散小波分析得到的时域奇异信号更加突出 ,能量频谱发现了 Fourier分析不能得到的某些能量集中的特征信号。实例验证了该分析方法的优良特性 ,为设备运行状态检测和故障预报提供了一种新的手段。
Dyadic wavelet transform is excellent to detect fault characteristics of unsteady signals.But some weak characteristic signals cann'ot be defected. The analysis method of dyadic discrete wavelet energy spectrum was put forward and the general expressions of dyadic discrete wavelet energy spectrum were presented.Its feasibility was discussed, and the relation between discrete signal spectrum and dyadic discrete wavelet energy spectrum was derived in this paper. Three examples to apply this energy spectrum for effectively detecting weak singnlarity signals in time domain and weak characteristic signals in frequency domain were present. Analysis results with dyadic discrete wavelet energy spectrum show that this method making singnlarity signals is very outstanding in time domain and it can discovered some energy concentrated characteristic signals that Fourier analysis can't getting. This provides a new means for equipments state detection and fault predication.
出处
《机械工程》
CSCD
北大核心
2004年第5期394-397,共4页
基金
山东省自然科学基金资助项目 (Y2 0 0 0 A 0 1)
