Decomposition method of iterated generating differential equation
-
摘要: 針對實際振動信號中多分量分離問題,在生成微分方程解調技術的基礎上,提出一種新的迭代分解方法.首先采用生成微分方程(generating differential equation,GDE),估計初始振動信號的瞬時頻率和幅值包絡,然后對瞬時頻率通過低通濾波分離出第一個頻率,基于此頻率對原始信號通過高通濾波器后提取的成分作為第一個分量,最后用初始信號減去第一個分量的余值作為下一次迭代的初始值,迭代同樣的步驟分析分解直到獲取所有信號分量,以低于能量比閾值作為迭代終止條件.本方法不需要先驗信息.通過仿真信號驗證并與傳統方法進行對比分析,證明了方法的有效性.通過實測軸承試驗信號的故障分析,證明了方法的實用性.Abstract: Aimed at solving the problem of multi-component separation of actual vibration signals, here a new iterative decomposition method is proposed based on a generating differential equation (GDE) method. The first step is to estimate the instantaneous frequency and amplitude envelope of the original signals using GDE, then the frequency of the first component is obtained using a lowpass filter. Second, the original signal is passed through a high-pass filter to obtain the amplitude of the first component. Finally, the first component is subtracted from the original signal and the residual value, as the new money initial value, is decomposed in the next iteration. Compared with conventional methods, the proposed method is illustrated and verified by the simulation signals. When used for analysis of rolling bearing experimental signals, the results demonstrate that the approach is practical and effective.
-
Key words:
- multi-component /
- generating differential equation /
- filter /
- iterative
-
參考文獻
[4] Huang N E, Shen Z, Long S R, et al. The empirical mode decomposition and the Hilbert spectrum for non-linear and non-stationary time series anaysis. Proc R Soc Lond A, 1998, 454:903 [5] Feldman M. Time-varying vibration decomposition and analysis based on the Hilbert transform. J Sound Vib, 2006, 295(3-5):518 [6] Feldman M. Theoretical analysis and comparison of the Hilbert transform decomposition methods. Mech Syst Signal Process, 2008, 22(3):509 [7] Braun S, Feldman M. Decomposition of non-stationary signals into varying time scales:some aspects of the EMD and HVD methods. Mech Syst Signal Process, 2011, 25(7):2608 [8] Gianfelici F, Biagetti G, Crippa P, et al. Multicomponent AM-FM representations:An asymptotically exact approach. IEEE T Audio Speech Language Process, 2007, 15(3):823 [9] Gianfelici F, Turchetti C, Crippa P. Multicomponent AM-FM demodulation:the state of the art after the development of the iterated Hilbert transform//IEEE International Conference on Signal Processing and Communications. Dubai, 2007:1471 [11] Qin Y. Multicomponent AM-FM demodulation based on energy separation and adaptive filtering. Mech Syst Signal Process, 2013, 38(2):440 [13] Zayezdny A, Druckmann I. A new method of signal description and its applications to signal processing. Signal Process, 1991, 22(2):153 [14] Zayezdny A, Tiunov S. Extrapolation of time series by their structural properties. Signal Process, 1993, 32(3):285 [15] Zayezdny A, Tiunov S, Bronstein A. Extrapolation of real-time processes by their structural properties. Signal Process, 1994, 38(2):231 -
點擊查看大圖
計量
- 文章訪問數: 5757
- HTML全文瀏覽量: 4326
- PDF下載量: 21
- 被引次數: 0
下載:
