Laser & Optoelectronics Progress, Volume. 58, Issue 4, 0407002(2021)
Gaussian Fitting Algorithm for Spectral Overlapping Peaks and Terahertz Time-Domain Curves
Figures & Tables(6)
Fig. 2. Curve of the spectral overlapping peaks. (a) Spectral data with noise; (b) spectral data after de-noising; (c) curve with first gradient
Fig. 4. Overlapping Gaussian peaks with unobvious sub-peaks. (a) Spectral signal, fitting curve, decomposition of Gaussian peak; (b) mean square error curve
Fig. 5. THz time-domain curve obtained by fitting. (a) Terahertz signal and fitting curve; (b) variation curve of mean square error
Table 1. Fitting result of overlapped Gaussian peaks with indistinct peaks
View tableTable 1. Fitting result of overlapped Gaussian peaks with indistinct peaks
Number j Peak position bj Peak intensity aj Peak width cj Setting value Fitting value Relative error /% Setting value Fitting value Relative error /% Setting value Fitting value Relative error /% 1 8.50 8.44 0.71 12.00 11.02 8.16 0.85 0.82 3.53 2 -- 8.47 -- -- 14.82 -- -- 0.0014 -- 3 10.00 9.98 0.20 18.00 18.23 1.28 0.95 1.04 9.47 4 11.50 11.52 0.17 20.00 19.24 3.80 0.70 0.68 2.86 5 13.00 13.01 0.08 16.00 16.09 0.56 1.10 1.12 1.82 6 15.00 14.98 0.13 17.00 16.90 0.58 1.11 1.05 5.41 7 17.00 16.47 3.12 12.00 12.78 6.50 0.85 0.86 1.18
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Jiayi Yang, Yongqian Xiong. Gaussian Fitting Algorithm for Spectral Overlapping Peaks and Terahertz Time-Domain Curves[J]. Laser & Optoelectronics Progress, 2021, 58(4): 0407002
Paper Information
Category: Fourier Optics and Signal Processing
Received: Aug. 31, 2020
Accepted: Nov. 5, 2020
Published Online: Feb. 22, 2021
The Author Email: Xiong Yongqian (yqxiong@hust.edu.cn)
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