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*
Author Affiliations
  • 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)
    Flow chart of the iterative calculation
    Curve of the spectral overlapping peaks. (a) Spectral data with noise; (b) spectral data after de-noising; (c) curve with first gradient
    Spectral signal and fitting curve after 10 iterations
    Overlapping Gaussian peaks with unobvious sub-peaks. (a) Spectral signal, fitting curve, decomposition of Gaussian peak; (b) mean square error curve
    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

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

      Number jPeak position bjPeak intensity ajPeak width cj
      Setting valueFitting valueRelative error /%Setting valueFitting valueRelative error /%Setting valueFitting valueRelative error /%
      18.508.440.7112.0011.028.160.850.823.53
      2--8.47----14.82----0.0014--
      310.009.980.2018.0018.231.280.951.049.47
      411.5011.520.1720.0019.243.800.700.682.86
      513.0013.010.0816.0016.090.561.101.121.82
      615.0014.980.1317.0016.900.581.111.055.41
      717.0016.473.1212.0012.786.500.850.861.18
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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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    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)

    DOI:10.3788/LOP202158.0407002

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