Research on the noise reduction for chaotic signals based on the adaptive local projection approach
Since the local projection noise reduction approach is influenced by the neighborhood selection greatly, an improved local projection noise reduction approach with adaptive neighborhood selection is proposed. Firstly, onedimensional time series are embedded into a high dimensional phase space. Secondly, increase the neighborhood radius of the phase point to he analyzed, gradually. The optimal neighborhood radius for each phase point is determined by finding a stable stage during the changing of fitting slope, with the increasing of the radius. And the fitting slope that fits all the vectors in the neighborhood was got by the least squares approach in this paper. Lastly, the noise is eliminated through local geometric projection. Both the noisy chaotic time series generated by Henon map and the vibration signals from the oil pump unit were respectively applied for noise reduction by this approach. The experimental results showed that the adaptive local projection approach proposed improved both the noise reduction performance and the adaptability to different chaotic signals.
Chaotic signals Mechanical vibration signals Noise redaction Adaptive neighborhood selection Local projection algorithm
Wang Mingda Zhang Laibin Liang Wei Duan Lixiang
College of Mechanical and Electronic Engineering, China University of Petroleum, Beijing, China
国际会议
长沙
英文
2469-2472
2010-03-13（万方平台首次上网日期，不代表论文的发表时间）