Accurate detection of signal singularity position based on dichotomizing recursion SVD

作者：Zhao, Xue-Zhi^*; Ye, Bang-Yan

来源：Acta Electronica Sinica, 2012, 40(1): 53-59.

DOI：10.3969/j.issn.0372-2112.2012.01.009

• Component signals
• Original signal
• Recursions
• Singular points
• Singular values
• Singularity detection
• Vanishing moment
• Wavelet singularity

It is proposed that a matrix with row number 2 is created by original signal and is processed by singular value decomposition (SVD), the component signal corresponding to the small singular value is retained, while the one corresponding to the big singular value is continuously used to create the same matrix to be continuously processed by SVD, by this way original signal can be decomposed into a group of component signals, which have the second order vanishing moment and can detect the accurate position of singularity with Lipschitz index 0 and 1 in original signal. Furthermore, the width of their detection impulse is small, and the modulus maxima in the component signals of the same level are proportional to the quantity of sudden change and the turning slope in the singular point. The defects of wavelet singularity detection, i. e. the deviation of singularity position and big width of detection impulse, are overcome and the faint impacts in the milling force signal are accurately detected by this method.

• 出版日期2012-1
• 单位华南理工大学