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《科学通报(英文版)》 2003-01
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Wavelet fractal character of overlapping signal

QIU Jianding1,2, ZOU Xiaoyong1, LIANG Ruping1,2, MO Jinyuan1 & CAI Peixiang1 1. School of Chemistry and Chemical Engineering, Zhongshan Univer-sity, Guangzhou 510275, China; 2. Department of Chemical Engineering, Pingxiang College, Pingxiang 337055, China Correspondence should be addressed to Mo Jinyuan (e-mail: cesmjy @zsu.edu.cn)  
A new method based on the combining of the wavelet theory with the fractal theory and named wavelet fractal peak position method (WFPPM) is introduced to ex-tract the number of the components and the relevant peak positions from overlapping signals in chemistry. The over-lapping signal is first transformed into continuous wavelet transform value of time domain in certain dilation range via continuous wavelet transform (CWT), and then changed into capacity dimensions (Dc). The number of the components and the relevant positions of overlapping peaks can be iden-tified easily according to the change of Dc. An investigation concerning the influence of different dilation ranges on the peak positions extracted by WFPPM is also provided. Stud-ies show that the WFPPM is an efficient tool for extracting the peak positions and identifying the number of peaks from unresolved signals, even when this kind of overlapping is significantly serious. Relative errors of less than 1.0% in peak positions are found when WFPPM is used in the pro- cessing of the cadmium(Ⅱ)-indium(Ⅲ) mixture system. The analytical results demonstrate that the desired peak positions can be extracted conveniently, accurately and rapidly from an unresolved signal via WFPPM. Tremendous developing and applications based on currently reported WFPPM in extracting overlapping signals would be expected in the near future.
【Fund】: This work was supported by the National Natural Science Foundation of China (Grant No. 29975033) and Guangdong Provincial Natural Science Foundation (Grant No. 001237).
【CateGory Index】: O241.86
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