Acta Optica Sinica, Volume. 38, Issue 4, 0430005(2018)

De-Noising of Near Infrared Spectra Based on Generalized S Transform and Singular Value Decomposition

Jianhua Cai1、*, Yongliang Xiao2, and Xiaoqin Li1
Author Affiliations
  • 1 College of Physics and Electronics Science, Hunan University of Arts and Science, Changde, Hunan 415000, China
  • 2 School of Information Technology and Management, Hunan University of Finance and Economics, Changsha, Hunan 410205, China
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    Figures & Tables(13)
    (a) Original “Bump” signal and (b) its time-frequency spectrum from generalized S transform
    (a) Noised “Bump” signal (signal noise ratio rSNR=20 dB) and (b) its time-frequency spectrum from generalized S transform
    (a) Singular value sequence of time-frequency matrix of noised “Bump” signal and (b) k-means clustering results of eigenvector
    (a) De-noised “Bump” signal and (b) its time-frequency spectrum from generalized S transform
    Near infrared spectra of wheat gluten samples. (a) Raw spectra; (b) first derivative spectra
    (a) First derivative spectrum of No. 9 wheat gluten sample and (b) its time-frequency spectrum from generalized S transform
    (a) Singular value sequence of time-frequency matrix of derivative spectra and (b) k-means clustering results of eigenvector
    (a) De-noised first derivative spectrum of No. 9 sample and (b) its time-frequency spectrum from generalized S transform
    First derivative spectra of 65 wheat gluten samples after de-noising
    Comparison of near infrared moisture content prediction results obtained from three de-noising methods and measured values of wheat gluten samples. (a) 9-point smoothing method; (b) wavelet soft thresholding method; (c) proposed method in this paper
    • Table 1. Evaluation parameters comparison of de-noising effect of 9-point smoothing method, wavelet soft threshold method, and proposed method in this paper

      View table

      Table 1. Evaluation parameters comparison of de-noising effect of 9-point smoothing method, wavelet soft threshold method, and proposed method in this paper

      Parameters before de-noisingDe-noising methodParameters after de-noising
      rSNRxRMSErSNRxRMSErSI
      100.04639 point smoothing method23.7840.018260.967
      Wavelet soft thresholding method30.9320.014230.972
      Proposed method in this paper37.0980.011850.978
      200.03139 point smoothing method45.6710.010220.983
      Wavelet soft thresholding method57.9830.009380.987
      Proposed method in this paper61.3270.008000.990
      300.01659 point smoothing method75.0240.006540.991
      Wavelet soft thresholding method84.9210.005340.993
      Proposed method in this paper88.6730.004090.997
    • Table 2. Data of wheat gluten samples

      View table

      Table 2. Data of wheat gluten samples

      Sample setTotal sample numberMoisture content range /%Average of moisture content /%
      Calibration set354.50-5.905.39
      Validation set304.50-5.855.41
    • Table 3. Evaluation parameters comparison of de-noising effect of No. 9 spectrum sample using 9-point smoothing method, wavelet soft thresholding method, and proposed method in this paper

      View table

      Table 3. Evaluation parameters comparison of de-noising effect of No. 9 spectrum sample using 9-point smoothing method, wavelet soft thresholding method, and proposed method in this paper

      De-noising methodNoise reduction ratioMagnitude attenuation ratio /%Time consuming /s
      9-point smoothing method13.1828.660.031
      Wavelet soft thresholding method15.6924.660.910
      Proposed method in this paper21.5419.765.750
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    Jianhua Cai, Yongliang Xiao, Xiaoqin Li. De-Noising of Near Infrared Spectra Based on Generalized S Transform and Singular Value Decomposition[J]. Acta Optica Sinica, 2018, 38(4): 0430005

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    Paper Information

    Category: Spectroscopy

    Received: Jul. 10, 2017

    Accepted: --

    Published Online: Jul. 10, 2018

    The Author Email: Cai Jianhua (cjh1021cjh@163.com)

    DOI:10.3788/AOS201838.0430005

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