Laser & Optoelectronics Progress, Volume. 56, Issue 1, 010602(2019)

Brillouin Peak Fitting Algorithm Based on Correlation-LM Method

Shuguo Gao1, Yunpeng Liu2, Huan Li2, Yuan Tian2, Xiaozhou Fan2、*, Lu Sun1, and Lingming Meng1
Author Affiliations
  • 1 Electric Power Research Institute, State Grid Hebei Electric Power Co., Ltd., Shijiazhuang, Hebei 0 50021, China
  • 2 North China Electric Power University, Baoding, Hebei 0 71000, China
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    Figures & Tables(11)
    Illustration of original Brillouin spectrum
    Fitted by the cross-correlation-LM method. (a) Before and (b) after removing intrinsic signals
    Bimodal fitting.(a) Correlation-LM method; (b) bimodal fitting algorithm
    Comparison of different algorithms for fitting simulation data with the central frequency 10.75 GHz. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Schematic of bimodal fitting. (a) Bimodal distance 0.2 GHz, second peak height of 0.4; (b) bimodal distance 0.075 GHz, second peak height of 0.7
    Adapted transformer windings
    Optical diagram of transformer winding deformation detection
    Comparison of experimental data fitting. (a) Correlation-LM method; (b) PSO method; (c) traditional LM method; (d) correlation method
    Brillouin central frequency of original winding
    Comparison of the Brillouin central frequency between the deformed and original winding
    • Table 1. Comparison of evaluation index of different fitting algorithm at different central frequencies

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      Table 1. Comparison of evaluation index of different fitting algorithm at different central frequencies

      10.70 GHz/25 dB
      Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
      Traditional LM method10.7003+0.00030.03930.0215
      PSO method10.7011+0.00110.02650.0790
      Correlation method10.6998-0.00020.00510.0249
      Correlation-LM10.7003+0.00030.00370.0205
      10.75 GHz/25 dB
      Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
      Traditional LM method10.7513+0.00130.03520.0843
      PSO method10.7511+0.00110.01280.0763
      Correlation method10.7423-0.00770.01020.0264
      Correlation-LM10.7510+0.00100.00320.0188
      10.80 GHz/25 dB
      Fitting methodCentralfrequency /GHzFrequencydeviation /GHzMean squareerror /GHzRuntime /s
      Traditional LM method10.7999-0.00010.04150.0222
      PSO method10.7984-0.00160.03030.0814
      Correlation method10.8029+0.00290.00840.0228
      Correlation-LM10.7999-0.00010.00570.0170
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    Shuguo Gao, Yunpeng Liu, Huan Li, Yuan Tian, Xiaozhou Fan, Lu Sun, Lingming Meng. Brillouin Peak Fitting Algorithm Based on Correlation-LM Method[J]. Laser & Optoelectronics Progress, 2019, 56(1): 010602

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    Paper Information

    Category: Fiber Optics and Optical Communications

    Received: May. 21, 2018

    Accepted: Jul. 18, 2018

    Published Online: Aug. 1, 2019

    The Author Email: Xiaozhou Fan (fxz@ncepu.edu.cn)

    DOI:10.3788/LOP56.010602

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