Research of end effects in Hilbert-Huang transform based on genetic algorithm and support vector machine

The end effects of Hilbert-Huang transform are produced in the Empirical Mode Decomposition(EMD) and the Hilbert transform for Intrinsic Mode Functions(IMF), which have a badly effect on Hilbert-Huang transform. In order to overcome this problem, the multi-objective allocation Genetic Algorithm (GA) to solve the kernel parameters selection of Least Squares Support Vector Machine (LSSVM)(GLHHT) is presented in this paper. Then the LSSVM is used to predict the signal before EMD. The scheme can effectively resolve the end effects, and obtain the EVIFs with explicitly physical sense and Hilbert spectrum. The simulation results from the typical definite and practical signals demonstrate that the end effects of Hilbert Huang transform could be resolved effectively, and its effects are better than prediction methods by RBF neural network and SVM, respectively.

[1]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[2]  Hong Jiang,et al.  Optimal Design of Cognitive Radio Wireless Parameters based on Non-dominated Neighbor Distribution Genetic Algorithm , 2009, 2009 Eighth IEEE/ACIS International Conference on Computer and Information Science.

[3]  Shaoze Yan,et al.  A revised Hilbert–Huang transformation based on the neural networks and its application in vibration signal analysis of a deployable structure , 2008 .

[4]  P. Tse,et al.  An improved Hilbert–Huang transform and its application in vibration signal analysis , 2005 .

[5]  Junsheng Cheng PROCESS METHOD FOR END EFFECTS OF HILBERT-HUANG TRANSFORM BASED ON SUPPORT VECTOR REGRESSION MACHINES , 2006 .

[6]  Satarupa Banerjee,et al.  Text classification: A least square support vector machine approach , 2007, Appl. Soft Comput..

[7]  F. Tan,et al.  Prediction of mitochondrial proteins based on genetic algorithm – partial least squares and support vector machine , 2007, Amino Acids.

[8]  Robert H. King,et al.  Dynamic response of the Trinity River Relief Bridge to controlled pile damage: modeling and experimental data analysis comparing Fourier and Hilbert–Huang techniques , 2005 .

[9]  C. Guedes Soares,et al.  Identification of the components of wave spectra by the Hilbert Huang transform method , 2004 .

[10]  XU Bao-jie,et al.  A Study on the Method of Restraining the Ending Effect of Empirical Mode Decomposition (EMD) , 2006 .

[11]  Wang Sheng-chang Parameters selection of support vector regression based on genetic algorithm. , 2008 .

[12]  Wang Hong-li Dealing with the End Effect of Hilbert-Huang Transform Based on GA-LSSVM Prediction , 2008 .

[13]  Zhide Hu,et al.  Quantitative structure–activity relationship study of acyl ureas as inhibitors of human liver glycogen phosphorylase using least squares support vector machines , 2007 .

[14]  Hu Wangming Gradient algorithm for selecting hyper parameters of LSSVM in process modeling , 2007 .

[15]  Kemal Polat,et al.  A new method to forecast of Escherichia coli promoter gene sequences: Integrating feature selection and Fuzzy-AIRS classifier system , 2009, Expert Syst. Appl..

[16]  S. Günes,et al.  Pattern Detection of Atherosclerosis from Carotid Artery Doppler Signals using Fuzzy Weighted Pre-Processing and Least Square Support Vector Machine (LSSVM) , 2007, Annals of Biomedical Engineering.