• 无线电电子学、电信技术 •

### 分量形成方式对奇异值分解信号处理效果的影响

1. （华南理工大学 机械与汽车工程学院， 广州 510640）
• 收稿日期:2010-01-05 出版日期:2011-03-30 发布日期:2011-03-30
• 基金资助:

国家自然科学基金资助项目(50875086)，中央高校基本科研业务费专项资金资助项目(2009ZM0287)，广州市科技计划项目(2008J1C101)

### The Influence of Formation Manner of Component on Signal Processing Effect of Singular Value Decomposition

ZHAO  Xue-Zhi, YE  Bang-Yan

1. (School of Mechanical and Automotive Engineering, South China University of Technology,
Guangzhou 510640, China)
• Received:2010-01-05 Online:2011-03-30 Published:2011-03-30

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.