中国机械工程 ›› 2014, Vol. 25 ›› Issue (4): 427-432.

• 机械基础工程 • 上一篇    下一篇

基于蚁群算法优化选取阈值的EMD消噪方法

张根保;范秀君   

  1. 重庆大学,重庆,400044
  • 出版日期:2014-02-25 发布日期:2014-03-05
  • 基金资助:
    国家自然科学基金资助项目(51175527); 国家科技重大专项2009ZX04014-016; 2009ZX04001-013; 2009ZX04001-023)

Method for De-nosing Based on Optimal Threshold of EMD Optimized by Ant Colony Algorithm

Zhang Genbao;Fan Xiujun   

  1. Chongqing University,Chongqing,400044
  • Online:2014-02-25 Published:2014-03-05
  • Supported by:
    National Natural Science Foundation of China(No. 51175527);National Science and Technology Major Project ( No. 2009ZX04014-016; 2009ZX04001-013; 2009ZX04001-023)

摘要:

为了改进经验模式分解(EMD)算法的消噪性能,在传统EMD消噪分解的基础上,参照小波阈值的消噪方法,提出了一种基于自适应阈值的EMD消噪方法。首先,建立去噪阈值和均方误差之间的对应函数,在所选阈值保证均方误差最小的前提下,利用具有较好全局搜索性的蚁群算法,根据建立的函数搜索阈值,克服了传统方法中硬阈值和软阈值固定选取的缺陷,实现了最优阈值的选取。仿真信号分析和实际轴承故障信号分析表明,该方法与传统的EMD消噪方法、软硬阈值分析方法相比,消噪效果更加明显。

关键词: 经验模式分解(EMD), 优化阈值, 蚁群算法, 消噪

Abstract:

To further enhance the de-noising performance of EMD algorithm, this paper proposed a de-noising method based on adaptive threshold of EMD referred to the method of threshold-based wavelet de-noising. First, the relationship between the mean square error(MSE) and the threshold function were established, then the optimal threshold of each intrinsic mode function(IMF) level were searched and obtained by the ant colony algorithm which realized to get the minimum MSE. So this method eliminates the disadvantages of soft and hard threshold de-noising method effectively. The experimental results indicate that the method is more effective in noise reduction in comparison with the conventional soft and hard threshold-based EMD de-noising methods, the method works better.

Key words: empirical mode decomposition(EMD), optimal threshold, ant colony algorithm, signal de-noising

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