Abstract

In this paper, the Raman spectrum signal de-noising based on stationary wavelet transform is discussed. Haar wavelet is selected to decompose the Raman spectrum signal for several levels based on stationary wavelet transform. The noise mean square {sigma}_j is estimated by the wavelet details at every level, and the wavelet details toward 0 by a threshold {sigma}_j (2\ln n)^{1/2} , where n is length of the detail, then recovery signal is reconstructed. Experimental results show this method not only suppresses noise effectively, but also preserves as many target characteristics of original signal as possible. This de-noising method offers a very attractive alternative to Raman spectrum signal noise suppress.

© 2005 Chinese Optics Letters

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  2. S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, New York, 1999).
  3. D. L. Donoho and I. M. Johnstone, Biometrika. 81, 425 (1994).
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  6. A. Vidal-Pantaleoni, D. Marti, and M. Ferrando, in Processings of IEEE International Geoscience and Remote Sensing Symposium 1999 1325 (1999).
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  8. Z. L. Cao and Z. Q. Sun, in Procceding of 18th ICORS, 489 (2002).

1999 (1)

P. M. Agante and J. P. Marques de Sa, Computers in Cardiology 26, 535 (1999).

1995 (1)

D. L. Donoho, IEEE Trans. Information Theory 41, 613 (1995).

1994 (1)

D. L. Donoho and I. M. Johnstone, Biometrika. 81, 425 (1994).

1989 (1)

S. G. Mallat, IEEE Trans. PAMI 11, 674 (1989).

Agante, P. M.

P. M. Agante and J. P. Marques de Sa, Computers in Cardiology 26, 535 (1999).

Donoho, D. L.

D. L. Donoho, IEEE Trans. Information Theory 41, 613 (1995).

D. L. Donoho and I. M. Johnstone, Biometrika. 81, 425 (1994).

Johnstone, I. M.

D. L. Donoho and I. M. Johnstone, Biometrika. 81, 425 (1994).

Mallat, S. G.

S. G. Mallat, IEEE Trans. PAMI 11, 674 (1989).

Sa, J. P. Marques de

P. M. Agante and J. P. Marques de Sa, Computers in Cardiology 26, 535 (1999).

Biometrika. (1)

D. L. Donoho and I. M. Johnstone, Biometrika. 81, 425 (1994).

Computers in Cardiology (1)

P. M. Agante and J. P. Marques de Sa, Computers in Cardiology 26, 535 (1999).

IEEE Trans. Information Theory (1)

D. L. Donoho, IEEE Trans. Information Theory 41, 613 (1995).

IEEE Trans. PAMI (1)

S. G. Mallat, IEEE Trans. PAMI 11, 674 (1989).

Other (4)

S. Mallat, A Wavelet Tour of Signal Processing (Academic Press, New York, 1999).

A. Vidal-Pantaleoni, D. Marti, and M. Ferrando, in Processings of IEEE International Geoscience and Remote Sensing Symposium 1999 1325 (1999).

G. P. Nason and B. W. Silverman, in Wavelet and Statistics (Lecture Notes in Statistics) A. Antoniadis and G. Oppenheim (ed.) (Spinger Verlag, New York, 1995) p. 281.

Z. L. Cao and Z. Q. Sun, in Procceding of 18th ICORS, 489 (2002).

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