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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。
The analytical method of energy spectrum of binary discrete wavelet is proposed. Practical calculation formulas are given and its feasibility is discussed. The relation between the energy spectrum of discrete binary wavelet and the spectrum of discrete signal is derived. This method is applied to effectively detect the faint singular signals in the time domain and the faint characteristic signals in the frequency domain. The energy spectrum makes the time-domain singular signals obtained by binary discrete wavelet analysis more prominent, and some energy-concentrated characteristic signals that can not be obtained by Fourier analysis are found in the energy spectrum. The example verifies the excellent characteristics of this method and provides a new measure for equipment operation status detection and fault prediction.