| 光谱学与光谱分析 |
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| Performance Analysis of Threshold Denoising via Different Kinds of Mother Wavelets |
| Lü Rui-lan,WU Tie-jun, YU Ling |
| Institute of Intelligent Systems and Decision-making，Zhejiang University, Hangzhou 310027，China |
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Abstract An ideal spectrum signal prototype is constructed in this paper based on the infrared ray spectrum of octane level measurement to evaluate the performances of wavelet based threshold denoising approaches via different combinations of mother wavelet functions and thresholds. A performance index η is defined to assess the signal-to-noise ratios (SNR) of denoising results, in consideration of the trade-off between the SNR and the distortion of the original signal after wavelet denoising. Three families of mother wavelets (Symlets, Daubechies and Coiflet), four threshold selection rules (Rigrsure, Sqtwolog, Heursure and Manimaxi)，and three threshold rescaling methods (One, Sln and Mln) are tested in a series of experiments to estimate the functioning of those wavelets and thresholding parameters. Experimental results show that in the cases investigated in this paper, the best denoising performance is reached via the combinations of Daubechies9 or Symlet7, 11, 14, 15 wavelets, “Rigrsure” threshold selection rule，and “Sln” threshold rescaling method.
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Received: 2002-06-28
Accepted: 2002-11-28
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Corresponding Authors:
Lü Rui-lan
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| Cite this article: |
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Lü Rui-lan,WU Tie-jun,YU Ling. Performance Analysis of Threshold Denoising via Different Kinds of Mother Wavelets [J]. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2004, 24(07): 826-829.
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| URL: |
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http://www.gpxygpfx.com/EN/Y2004/V24/I07/826 |
[1] PENG Yu-hua(彭玉华). Wavelet and Applications in Engineering(小波变换与工程应用). Beijing: Science Press(北京：科学出版社)，1999.
[2] YANG Fu-sheng(杨福生). Wavelet Analysis and Application in Engineering(小波变换的工程分析与应用). Beijing: Science Press(北京：科学出版社)，1999. 2.
[3] HU Chang-hua, ZHANG Jun-bo, XIA Jun et al(胡昌华，张军波，夏 军等). System Analysis and Design Based on MATLAB: Wavelet Transform(基于MATLAB的系统分析与设计：小波分析)，Xi'an: Xi'an Electronic Science and Technology University Press(西安：西安电子科技大学出版社). 1999. 12.
[4] Sheila R Messer，John Agzarian，Derek Abbott. Microelectronic Journal, 2001，32：931.
[5] Pasti L，Walczak B，Massart D L et al. Chemometrics and Intelligent Laboratroy Systems, 1999，48：21.
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