Implementation of spectral overlap resolution based on wavelet transforms and Gaussian fitting

被引：2

作者：

Feng, Fei ^{[1
]}

Wang, Fu-Bei ^{[1
]}

Xie, Fei ^{[1
]}

Wu, Qiong-Shui ^{[1
]}

Zeng, Li-Bo ^{[1
]}

机构：

[1] Electronic Information School, Wuhan University, Wuhan,430072, China

来源：

Guangzi Xuebao/Acta Photonica Sinica | 2015年 / 44卷 / 06期

关键词：

Gaussian distribution;

D O I：

10.3788/gzxb20154406.0630001

中图分类号：

学科分类号：

摘要：

Aiming at the problems of spectral overlap peaks, wavelet transforms was used, by setting the low-frequency wavelet coefficients to zero and thresholding the high-frequency coefficients, baseline-drift correction and spectral denoising were completed simultaneously. The ridge lines posed by modulus maxima of wavelet coefficients were searched by multi-scale wavelet transforms, and the composite ridge lines were correctted. The peak position was corresponding to the position of the maximum scale parameter in the wavelet ridge lines. According to the obtained peak values, the least squares rule was used to find out the best-fit spectra which was superimposed by multiple unimodal Gaussian functions, thus, the intensity and width information can be carried out. Finally, method was applied to resolve overlapping spectrum containing composite baseline-drift and random noise, the results showed that the algorithm can separate these overlapping peaks very well, the deviation of peak position calculated by multi-scale wavelet transforms was within±1.3, and the deviation of peak intensity fitted by Gaussian functions was no more than 8.5%. Comparing with the peak information obtained by existing mature algorithm, to some extent, the proposed spectral overlap resolving algorithm is superior. ©, 2015, Chinese Optical Society. All right reserved.

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