加权相空间重构降噪算法及其在设备故障诊断中的应用

加权相空间重构降噪算法在相空间重构与分解的基础上,将一维的时间序列延拓到高维的相空间,使得一维时序中不易识别的特征在高维相空间变为容易识别的吸引子,通过区分吸引子在高维空间的不同的属性与特征,采用汉宁加权窗将高维信号投影到一维,使得信号的本质特征得到充分体现.根据机械设备发生故I荤其振动信号中往往具有非线性、非平稳性的特点,提出将加权相空间重构降噪算法用于设备故障信号的降噪,并采用数值仿真试验及齿轮故障诊断对此算法进行了分析与验证,结果表明该算法对此类信号具有良好的降噪效果.

WEIGHTED PHASE SPACE RECONSTRUCTION ALGORITHM FOR NOISE REDUCTION AND ITS APPLICATION

Based on phase space reconstruction and decompo-sition,the weighted phase space reconstruction algorithm for noise reduction makes the time series continuation from one dimension to higher dimension,which transforms the feature not easily discriminated in one dimension to the attractor easilydiscriminated in higher dimension.Distinguishing the different nature and feature of the attractor in higher dimension and pro-jecting the signal from higher dimension to one dimension by adapting the Hanning weighting windows,the natural feature of signal is displayed sufficiently.When the machinery breaks down,their vibration signals often include nonlinear and non-stationary feature.The algorithm is proposed to use for the noise reduction of machinery.This algorithm was analyzed and certificated by numeric value simulation and gear fault diagno-sis.The result makes known that this algorithm is good on noise reduction for this kind of signal.