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Acta Optica Sinica, Volume. 39, Issue 9, 0930006(2019)

Wavelet Denoising in Near-Infrared Broadband Cavity-Enhanced Absorption Spectroscopy

Dan Yao1,2, Kaiyuan Zheng1,2, Zidi Liu1,2, Junhao Li1,2, Chuantao Zheng1,2、*, and Yiding Wang1,2
Author Affiliations
  • 1 State Key Laboratory of Integrated Optoelectronics, College of Electronic Science and Engineering, Jilin University, Changchun, Jilin 130012, China
  • 2 Jilin Provincial Engineering Research Center of Infrared Gas Sensing Technique, Changchun, Jilin 130012, China
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    Figures&Tables (10)
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    References (22)
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    Figures & Tables(10)
    System diagram of the WD based methane sensor system using broadband cavity-enhanced technique

    Fig. 1. System diagram of the WD based methane sensor system using broadband cavity-enhanced technique

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    Denoising effect using different wavelet functions (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different wavelet functions in the absorption free background interval; (b) denoising effect using different wavelet functions in the absorption interval; (c) denoising effect using db2 wavelet function

    Fig. 2. Denoising effect using different wavelet functions (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different wavelet functions in the absorption free background interval; (b) denoising effect using different wavelet functions in the absorption interval; (c) denoising effect using db2 wavelet function

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    Denoising effect using different decomposition layers (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different decomposition layers in the absorption free background interval; (b) denoising effect using different decomposition layers in the absorption interval; (c) denoising effect using 6 decomposition layers

    Fig. 3. Denoising effect using different decomposition layers (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different decomposition layers in the absorption free background interval; (b) denoising effect using different decomposition layers in the absorption interval; (c) denoising effect using 6 decomposition layers

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    Denoising effect using different threshold estimation criteria (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different threshold estimation criteria in the absorption free background interval; (b) denoising effect using different threshold estimation criteria in the absorption interval; (c) denoising effect using heursure threshold estimation criterion

    Fig. 4. Denoising effect using different threshold estimation criteria (polluted signal: dash line; denoised signal: solid line). (a) Denoising effect using different threshold estimation criteria in the absorption free background interval; (b) denoising effect using different threshold estimation criteria in the absorption interval; (c) denoising effect using heursure threshold estimation criterion

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    Measured absorption coefficient of methane, fitted absorption coefficient, and fitted residual before and after WD. (a) Measured and fitted absorption coefficients of methane without WD; (b) fitted residual without WD; (c) measured and fitted absorption coefficients of methane with WD; (d) fitted residual with WD

    Fig. 5. Measured absorption coefficient of methane, fitted absorption coefficient, and fitted residual before and after WD. (a) Measured and fitted absorption coefficients of methane without WD; (b) fitted residual without WD; (c) measured and fitted absorption coefficients of methane with WD; (d) fitted residual with WD

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    Allan deviation curves of the methane sensor system before and after WD

    Fig. 6. Allan deviation curves of the methane sensor system before and after WD

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    • Table 1. Obtained ERMS values for different wavelet functions

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      Table 1. Obtained ERMS values for different wavelet functions

      Wavelet functionERMS(6050-6055 cm-1)ERMS(6055-6060 cm-1)
      haar1.37×10-67.92×10-6
      coif11.10×10-68.09×10-6
      sym61.39×10-67.92×10-6
      bior2.21.02×10-68.13×10-6
      db29.82×10-77.81×10-6

    • Table 2. Obtained ERMS values for different decomposition layers

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      Table 2. Obtained ERMS values for different decomposition layers

      Number of decomposition layersERMS(6050-6055 cm-1)ERMS(6055-6060 cm-1)
      32.15×10-67.95×10-6
      41.98×10-67.87×10-6
      51.19×10-67.74×10-6
      69.82×10-77.81×10-6
      72.46×10-61.65×10-5

    • Table 3. Obtained ERMS values for different threshold estimation criteria

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      Table 3. Obtained ERMS values for different threshold estimation criteria

      Threshold estimation criterionERMS(6050-6055 cm-1)ERMS(6055-6060 cm-1)
      rigrsure9.82×10-77.81×10-6
      sqtwolog1.20×10-68.43×10-6
      minimaxi1.40×10-68.01×10-6
      heursure9.82×10-77.81×10-6

    • Table 4. Comparison of the sensor performance without and with WD

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      Table 4. Comparison of the sensor performance without and with WD

      ScenarioResidual /cm-1Retrieved concentrationSNRDetection limit (averaging time)
      Without WD3.3×10-61.088×10-317.35.6×10-5 (20 min)
      With WD1.7×10-61.018 ×10-333.03.1×10-5 (20 min)
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    Dan Yao, Kaiyuan Zheng, Zidi Liu, Junhao Li, Chuantao Zheng, Yiding Wang. Wavelet Denoising in Near-Infrared Broadband Cavity-Enhanced Absorption Spectroscopy[J]. Acta Optica Sinica, 2019, 39(9): 0930006

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    Paper Information

    Category: Spectroscopy

    Received: Apr. 9, 2019

    Accepted: May. 21, 2019

    Published Online: Sep. 9, 2019

    The Author Email: Zheng Chuantao (zhengchunatao@jlu.edu.cn)

    DOI:10.3788/AOS201939.0930006

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology