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Volume 28 Issue 4
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Gai Qiang, Yn Fu-liang. Study of Decomposition Method of 2-Dimension Hilbert-Huang Transform[J]. Journal of Electronics & Information Technology, 2006, 28(4): 610-613.
Citation: Gai Qiang, Yn Fu-liang. Study of Decomposition Method of 2-Dimension Hilbert-Huang Transform[J]. Journal of Electronics & Information Technology, 2006, 28(4): 610-613.

Study of Decomposition Method of 2-Dimension Hilbert-Huang Transform

  • Received Date: 2004-08-30
  • Rev Recd Date: 2005-02-16
  • Publish Date: 2006-04-19
  • In this paper, the mathematic expressions of Intrinsic Mode Functions (IMFs) of the 2-dimension Local Wave Analysis (LWA) are put forward, and the 2-dimension decomposition method of HHT is developed. The clear image details have been extracted by using the method to adaptively decompose a digital image into a finite number of sub-images. That is very important for digital image processing.
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  • Huang N E, Zheng Shen, Long S R, et al.. The empirical mode decomposition and the Hilbert spectrum for nonlinearnon-stationary time series analysis [J].Proc. R. Soc. London. SerA.1998, 454(1971):903-[2]Huang N E, Wu M L, Long S R, et al.A confidence limit for the empirical mode decomposition and Hilbert spectral analysis [J].Proc. R. Soc. London. Ser. A.2003, 459(2037):2317-[3]盖强.局域波时频分析方法的理论研究与应用.[博士论文」,大连:大连理工大学,2001.[4]盖强,马孝江,张海勇等.几种局域波分解方法的比较研究.系统工程与电子技术,2002, 24(2): 57一59.[5]Yu B, Ma X J. A new method for the analysis of non-stationary nonlinear vibration signal and its use in machine fault diagnosis[A]. Proceedings of International Conference on Vibration Engineering [C]. Dalian, China:PICVE, 1998: 668一671.[6]盖强,马孝江,张海勇等.一种处理局域波法中边界效应的新方法[J].大连理工大学学报,2002, 42(1): 115一117.[7]邓拥军,王伟,钱成春等. EMD方法及Hilbert变换中边界问题的处理[J].科学通报,2001, 46(3): 257一263.[8]张海勇,马孝江,盖强.非平稳信号的一种ARMA模型分析方法[J].电子科学学刊,2002, 24(7): 992一996.[9]Gloersen P, Huang N E. Comparison of interannual intrinsicmodes in hemispheric sea ice covers and other geophysical parameters [J].IEEE Trans. on Geoscience and Remote Sensing.2003, 41(5):1-[10]Huang N E, Hsing H, Shen Zheng, et al.. The ages of large amplitude coastal seiches on the Caribbean coast of Puerto Rico[J].Journal of Physical Oceanography.2000, 30(8):2001-2.0.CO;2' target='_blank'>[11]Huang N E, Shen Zheng, Steven R L. A new view of nonlinear water waves: The Hilbert spectrum[J].Annu. Rev Fluid Mech.1999, 31(1):417-[12]王珍,马孝江.局域波时频法在柴油机缸套活塞磨损诊断中的应用研究[J1.内燃机学报,2002, 20(2): 157一160.[13]Chu Jan, Gai Qiang, Zhang Haiyong. The EMD method and its use in ship diagnosis [A]. Proceeding of the International Symposium on Test and Measurement [C], Shanghai, China:ISTM,2003,3:2039一2042.[14]Essex J W, Wiley A P. Application of the Hilbert-Huang transform to the analysis of molecular dynamics simulations [J]. Journal of Physical Chemistry, Ser. A 2003, 107(24): 4869一4876.[15]Huang Wei, Shen Zheng, Huang N E, et al.. Engineering analysis of biological variables: An example of blood pressure over I day [A]. Proc. ofNat. Acad. Sci. [CJ. USA: PNAS, April 1998, 95(9): 4816一4821.[16]Boashash B. Estimating and interpreting the instantaneous frequency of a signal [J]. Part I, Proc. IEEE, 1992, 80(4): 520一538.[17]Cohen L. Time-Frequency Analysis[M]. Englewood Cliffs, NJ, Prentice-Hall, 1995, Chapter 13.
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