This paper describes a method of signal process applied
on an end effects of Hilbert-Huang transform (HHT) to provide an
improvement in the reality of spectrum. The method is based on
back-propagation network (BPN). To improve the effect, the end
extension of the original signal is obtained by back-propagation
network. A full waveform including origin and its extension is
decomposed by using empirical mode decomposition (EMD) to obtain
intrinsic mode functions (IMFs) of the waveform. Then, the Hilbert
transform (HT) is applied to the IMFs to obtain the Hilbert spectrum of
the waveform. As a result, the method is superiority of the processing
of end effect of HHT to obtain the real frequency spectrum of signals.
[1] Huang, N., Z. Shen, S. Long, M. Wu, H. Shih, Q. Zheng, N. Yen, C.C.
Tung and H. Liu, " The empirical mode decomposition and the Hilbert
spectrum for nonlinear, nonstationary time series analysis," 1998 Proc. R.
Soc. Lond. Vol. A454, pp. 903-995.
[2] Y.Deng, W.Wang, C.Qian, Z.Wang, D.Dai, "Boundary-processingtechnique
in EMD method and Hilbert transform," 2001 Chinese Science
Bulletin Vol. 46, pp. 954-960.
[3] D.E.Rumelhart, G.E.Hinton, and R.J.Willia, "Learning representations by
back-propagation errors," 1986 Nature Vol. 323, pp. 533-536.
[4] Plaut,D. C., Nowlan,S. J. and Hinton,G. E., "Experiments on Learning by
Back Propagation," 1986 Technical Report CMU-CS-86-126.
[1] Huang, N., Z. Shen, S. Long, M. Wu, H. Shih, Q. Zheng, N. Yen, C.C.
Tung and H. Liu, " The empirical mode decomposition and the Hilbert
spectrum for nonlinear, nonstationary time series analysis," 1998 Proc. R.
Soc. Lond. Vol. A454, pp. 903-995.
[2] Y.Deng, W.Wang, C.Qian, Z.Wang, D.Dai, "Boundary-processingtechnique
in EMD method and Hilbert transform," 2001 Chinese Science
Bulletin Vol. 46, pp. 954-960.
[3] D.E.Rumelhart, G.E.Hinton, and R.J.Willia, "Learning representations by
back-propagation errors," 1986 Nature Vol. 323, pp. 533-536.
[4] Plaut,D. C., Nowlan,S. J. and Hinton,G. E., "Experiments on Learning by
Back Propagation," 1986 Technical Report CMU-CS-86-126.
@article{"International Journal of Electrical, Electronic and Communication Sciences:60943", author = "Chun-Yao Lee and Yao-chen Lee", title = "BPNN Based Processing for End Effects of HHT", abstract = "This paper describes a method of signal process applied
on an end effects of Hilbert-Huang transform (HHT) to provide an
improvement in the reality of spectrum. The method is based on
back-propagation network (BPN). To improve the effect, the end
extension of the original signal is obtained by back-propagation
network. A full waveform including origin and its extension is
decomposed by using empirical mode decomposition (EMD) to obtain
intrinsic mode functions (IMFs) of the waveform. Then, the Hilbert
transform (HT) is applied to the IMFs to obtain the Hilbert spectrum of
the waveform. As a result, the method is superiority of the processing
of end effect of HHT to obtain the real frequency spectrum of signals.", keywords = "Neural network, back-propagation network,Hilbert-Huang transform", volume = "4", number = "12", pages = "1845-3", }