期刊
CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS
卷 125, 期 -, 页码 11-17出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.chemolab.2013.03.010
关键词
Wavelet transform; Background correction; Lifting scheme; Least mean square algorithm; Adaptive filter
类别
资金
- National Natural Science Foundation of China [21175074]
Wavelet transform has been a powerful tool for signal processing. Various wavelet filters make the technique flexible for processing diverse signals. However, finding a suitable filter is a task for different signals and different purposes. In this work, an adaptive wavelet transform based on lifting scheme and least mean square (LMS) algorithm is proposed for background correction of analytical signals. Lifting scheme is used to calculate the detail and approximation coefficients for decomposing the signal into different components, and adaptive lifting wavelet filter is generated with an LMS algorithm. Due to the difference in frequency of the components, the background in the signal can be identified and removed. The benefit of using the proposed method is the adaptation that makes the wavelet transform suitable to process any signal for various purposes without the trouble of selecting the filters. The signals of gas chromatography, nuclear magnetic resonance (NMR) and Raman spectroscopy for analyzing pesticide mixture, blood sample, and pharmaceutical tablets are used to test the proposed method. The results indicate that the background in all the three signals is clearly eliminated. (c) 2013 Elsevier B.V. All rights reserved.
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