华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (5): 15-19.

• 电子、通信与自动控制 • 上一篇    下一篇

经验模态分解中的频域分辨率及其改进方法

胡维平1 莫家玲2 杜明辉1   

  1. 1.华南理工大学 电子与信息学院,广东 广州 510640; 2. 广西师范大学 物理与电子工程学院,广西 桂林 541004
  • 收稿日期:2006-03-20 出版日期:2007-05-25 发布日期:2007-05-25
  • 通信作者: 胡维平(1963-),男,博士生,主要从事生物医学信号处理、图像处理方面的研究. E-mail:huwp@mailbox.gxnu.edu.cn
  • 作者简介:胡维平(1963-),男,博士生,主要从事生物医学信号处理、图像处理方面的研究.
  • 基金资助:

    广东省自然科学基金资助项目(05006593 ) ;广西自然科学基金资助项目(0448035)

Frequency-Domain Resolution and Its Improvement During Empirical Mode Decomposition

Hu Wei-pingMo Jia-lini2  Du Ming-hui1   

  1. 1. School of Electronic and Information Engineering , South China Univ. of Tech. , Guangzhou 510640 , Guangdong , China;2. College of Physics and Electronics Tech. , Guangxi Normal Univ. , Guilin 541004 , Guangxi , China
  • Received:2006-03-20 Online:2007-05-25 Published:2007-05-25
  • Contact: 胡维平(1963-),男,博士生,主要从事生物医学信号处理、图像处理方面的研究. E-mail:huwp@mailbox.gxnu.edu.cn
  • About author:胡维平(1963-),男,博士生,主要从事生物医学信号处理、图像处理方面的研究.
  • Supported by:

    广东省自然科学基金资助项目(05006593 ) ;广西自然科学基金资助项目(0448035)

摘要: 经验模态分解(EMD) 的主要目的是提供满足Hilbert 变换要求的单组分或窄带信号.针对EMD 中由于模式混淆以及信号间相王作用带来的单个本征模态函数带宽过大的不足,对单次EMD 分解结果本征模态函数的带宽进行了研究,计算了其瞬时频率分辨率,以此为依据提出了经验模态分解中限制当前信号带宽的改进屏蔽信号方法.此方法完全解决了模式混淆的问题,尽可能地减少了经验模态分解中信号相互作用的不利影响,有效地提高了本征模态函数经H也ert 变换后其瞬时频率表达的频域分辨率.

关键词: 经验模态分解, 模式混淆, 瞬时频率, 频域分辨率

Abstract:

The main task of Empirical Mode Decomposition (EMD) is to offer the monocomponents or narrow band signals prior to Hilbert transform. During the EMD , the frequency band of intrinsic mode function (IMF) is rather wide due to the mode mixing and the signal interaction. In order to solve this problem , the band width of IMF resulting from a single EMD is investigated , and the corresponding instantaneous frequency resolution is calculated ,
on the basis of which an improved signal masking method is proposed to narrow the frequency band of signal before the standard EMD. Experimental results show that the proposed method can not only overcome the mode mixing in EMD completely but also avoid the disadvantages caused by the signal interaction , thus effectively improving the frequency-domain resolution expressed by IF after the Hilbert transform of IMF.

Key words: Empirical Mode Decomposition, mode mixing, instantaneous frequency, spectrum resolution