Wavelet fractal character of overlapping signal
Wavelet fractal character of overlapping signal作者机构：School of Chemistry and Chemical Engineering Zhongshan University Guangzhou China Department of Chemical Engineering Pingxiang College Pingxiang China
出 版 物：《Chinese Science Bulletin》 (Chin. Sci. Bull.)
年 卷 期：2003年第48卷第1期
页 面：44-49页
核心收录：
学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学]
主 题：重叠信号 化学信号 电分析化学 分离度 小波伸缩 尖峰位置
摘 要：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.
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