Gaussian Fitting Algorithm for Spectral Overlapping Peaks and Terahertz Time-Domain Curves

Jiayi Yang; Yongqian Xiong

doi:10.3788/LOP202158.0407002

Laser & Optoelectronics Progress, Volume. 58, Issue 4, 0407002(2021)

Gaussian Fitting Algorithm for Spectral Overlapping Peaks and Terahertz Time-Domain Curves

Jiayi Yang and Yongqian Xiong^*

State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China

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Figures & Tables(6)

Fig. 1. Flow chart of the iterative calculation

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Fig. 2. Curve of the spectral overlapping peaks. (a) Spectral data with noise; (b) spectral data after de-noising; (c) curve with first gradient

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Fig. 3. Spectral signal and fitting curve after 10 iterations

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Fig. 4. Overlapping Gaussian peaks with unobvious sub-peaks. (a) Spectral signal, fitting curve, decomposition of Gaussian peak; (b) mean square error curve

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Fig. 5. THz time-domain curve obtained by fitting. (a) Terahertz signal and fitting curve; (b) variation curve of mean square error

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Table 1. Fitting result of overlapped Gaussian peaks with indistinct peaks

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Table 1. Fitting result of overlapped Gaussian peaks with indistinct peaks

Number j	Peak position b_j			Peak intensity a_j			Peak width c_j
Number j	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

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