关键词: 奇异值分解, 简便法, 平均法, 信号处理, 轴承振动

Abstract:  Aimed at the formation manner of component signal in singular value decomposition (SVD), the difference of signal processing effect between the simple manner and the average manner was studied. Firstly, for the average manner, a convenient algorithm to get the average of matrix elements is proposed according to the characteristic of Hankel matrix. Secondly, it is proved that the original signal can be decomposed into the linear sum of a series of component signals by SVD with both manners, and a parameter called loss ratio is proposed to evaluate the signal processing effect of both manners. The studying results show that for sine signals, there is no difference between the processing effects of the two manners, while for frequency change signals, the average manner has the advantage of the simple one, however, both manners have extracted the modulated signal caused by the damage in roll track from the complicated vibration signal of a bearing, but the computation amount of the average manner is much larger than that of the simple one. It is recommended that except frequency change signal, for other common signals the simple method should be prior used.

Key words: singular value decomposition, simple manner, average manner, signal processing, bearing vibration