周期紧支撑径向基函数对BEMD的优化
doi: 10.3724/SP.J.1146.2006.00849
The Improvement of the BEMD Using Compactly Supported RBF
-
摘要: 该文提出了一种优化二维经验模式分解 (Bidimensional Empirical Mode Decomposition, BEMD)的方法。周期紧支撑径向基函数满足不同程度光滑性，能够容忍数据点集不规则性，避免出现上冲现象，而且大大减少了计算量和存储量，特别是能够消除Gibbs现象，抑制边界效应。实验证实本文提出的利用周期紧支撑径向基函数改进BEMD方法，能够获得较好的BEMD分解结果。Abstract: In this paper, a method is proposed which uses the Radial Basis Function (RBF) to improve the Bidimensional Empirical Mode Decomposition (BEMD). The mirror compactly supported RBF not only has the precision of interpolation and suppresses the boundary effect, but also has fast computation. Experiments indicate that the method in this paper can gain better decompositions.
-
Huang N E, Shen Z, and Long S R, et al.. The empirical modedecomposition and the Hilbert spectrum for nonlinear andnonstationary time series analysis, Proceedings of the RoyalSociety London A, 1998: 903-1005.[2]Nunes J C.[J].Guyot S, and Del echelle E. Texture analysisbased on local analysis of the bidimensional empirical modedecomposition. Machine Vision and Applications.2005,:-[3]Liu Zhongxuan and Peng Silong. Boundary processing ofbidimensional EMD using texture synthesis. IEEE SignalProcessing Letters, 2005 12(1): 33-40.[4]Linderhed Anna. Variable sampling of the empirical modedecomposition of 2D signals. International Journal ofWavelets, Multiresolution and Information Processing. 2004:120-130.[5]邓拥军, 王伟, 钱成春, 王忠, 戴德君. EMD 方法及Hilbert变换中边界问题的处理. 科学通报, 2001: 73-77.[6]Abe Y and Iiguni Y. Fast computation of RBF coefficients forregularly sampled inputs[J].Electronics Letters.2003, 39(6):543-544[7]Light W A and Cheney E W. Interpolation by periodic radialbasis functions. J.Math. Anal. Appl. 1992, 168(3): 111-130.[8]Wu Z M. Multivariate compactly supported positive definiteradial functions [J].Advances in Computational Mathematics.1995, 4(5):283-292[9]Damerval C, Meignen S, and Perrier V. A fast algorithm forbidimensional EDM[J].IEEE Signal Processing Letters.2005,12(10):301-310[10]Flandrin P and Goncalves P. Empirical mode decompositionsas data-driven wavelet-like expansions. International Journalon Wavelets and Multires, 2004, 1(9): 50-61. -
计量
- 文章访问数: 3263
- HTML全文浏览量: 84
- PDF下载量: 1098
- 被引次数: 0
下载:
