多重分形熵及其在非平稳信号分析中的应用研究

Multifractal Entropy and Its Application to Analysis of Non-stational Signals

在对信号进行多重分形分析的基础上,提出了对信号进行定量评价的一种新指标——多重分形熵,这种方法能够表征信号能量分布的奇异状况和几何特征分布几率,可用于非平稳信号内在特征信息的精细刻画和准确提取,通过对实际信号的分析表明,提出的方法为设备故障状态识别提供了新手段。

A new index for signal ration evaluation--multifractal entropy which can evaluate the energy distribution of the signal is proposed based on the multi-fractal analysis.Because the multifractal entropy values can describe the singular condition and geometry distribution odds of the signal energy in different scales,so it can be used to extract the internal feature information of non-stational signals.Finally,the new method is simulated in analysis of practical signals and is proved that this multifractal entropy is a new method for the recognition of system fault condition.