An Improved Noise Reduction Algorithm Based on Manifold Learning and Its Application to Signal Noise Reduction

Article Preview

Abstract:

In the noise reduction algorithm based on manifold learning, phase space data may be distorted and reduction targets are chosen at random, it made efficiency and effect of noise reduction lower.To solve this problem, a improved noise reducation method (local tangent space mean reconstruction) was proposed.The process of global array by affine transformation will be replaced with mean reconstruction,and the intrinsic dimension was estimate as dimension of reduction targets by using maximum likehood estimation method, the data in addition to intrinsic dimension space will be eliminated.Noise reduction experiment to fan vibration signal with noise shows this method had better noise reduction effect.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

653-656

Citation:

Online since:

June 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] J.B. Tememnaum, V. Silva, J.C. Langford: Science, 290(2000), 2319-2323.

Google Scholar

[2] S. Roweis, L. Saul: Science, 290(2000), 2323-2326.

Google Scholar

[3] M. Belkin, P. Niyogi: Neural Computation. 15(2003), 1373-1396.

Google Scholar

[4] Zhang Zhenyue, Zha Hongyuan: SIAM Journal on Scientific Computing, 26(2005), 313-338.

Google Scholar

[5] He Xiaofei, P. Niyogi: Advances in Neural Information Processing Systems 16. MIT Press, cambrifge, MA, (2004).

Google Scholar

[6] J.S. Yin, H.D. Wu, Z.T. Zhou, et al: Pateern Recognition, 8(2008), 1613-1620.

Google Scholar

[7] Z.Y. Zhang H.Y. Zha: CSE-03-003, Technical Report, Penn State University(2003).

Google Scholar

[8] M. Hein, M. Maier: Advances in Neural Information Processding Systems 19, MIT Press, C ambridge, MA, (2006).

Google Scholar

[9] K. Shin, J.K. Hammond, P.R. White: Mechanical Systems and Signal Proeessing, 13(l999), pp.115-124.

Google Scholar

[10] Xu jinwu, Lu yong, Wang haifeng: Chinese Journal of Mechanical Engineering, 39(2003), pp.146-150.

Google Scholar

[11] Yang jianhong, Xu jinwu, Yang debin, et al: Chinese Journal of Mechanical Engineering, 42(2006): 154-158.

Google Scholar

[12] Shi boqiang, shen yanhua: Fractal Fault Diagnosis Method - Theory and Practice (2001) Fig. 5 The signal dimension after noise reduction changes with LTSA(lefe)and LTSMR(right).

Google Scholar

[12] 14 16 18 20 22 24 26 28 30.

Google Scholar

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] Number of neighbors Dimension of the signals after noise reduction Intrinsic dimension=4 Intrinsic dimension=5 Intrinsic dimension=6.

Google Scholar

[12] 14 16 18 20 22 24 26 28 30.

Google Scholar

[5] [10] [15] [20] [25] [30] [35] [40] [45] [50] Number of neighbors Dimension of the signals after noise reduction Intrinsic dimension=4 Intrinsic dimension=5 Intrinsic dimension=6.

Google Scholar