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2nd-order spline wavelet convolution method in resolving chemical overlapped peaks
Authors:Ying?Wang  Email author" target="_blank">Jinyuan?MoEmail author  Xiaoyan?Chen
Institution:School of Chemistry and Chemical Engineering, Zhongshan University, Guangzhou 510275, China
Abstract:A 2nd-order spline wavelet convolution method in resolving overlapped peaks is developed. It determines the number of peaks, peak positions and width through wavelet's convolution, then uses spline function to construct the resoluter, which is used to resolve overlapped peaks. Theoretical proof is given, and the selections of wavelets and parameters are discussed. It is proven that baseline separation can be achieved after processed, the relative errors of peak position and area are less than 0.2% and 4.0% respectively. It can be directly applied to seriously overlapped signals, noisy signals and multi-component signals, and the results are satisfactory. It is a novel effective method for resolution.
Keywords:2nd-order spline wavelet  convolution  resolve  chemical signal  overlapped peaks  
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