Laser & Optoelectronics Progress, Volume. 56, Issue 7, 071503(2019)

Seismic Signal Blind Denoising Based on W-Weighted Nuclear Norm Minimization

Zhenjie Feng1、* and Weixue Han2
Author Affiliations
  • 1 School of Computer and Information Engineering, Anyang Normal University, Anyang, Henan 455000, China
  • 2 Yongyou Software Company Tianjin Branch, Tianjin 300508, China
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    Figures & Tables(9)
    Output signal-to-noise ratio versus noise offset. (a) Negative offset; (b) positive offset
    Flow chart of seismic signal blind denoising based on W-WNNM
    Marine prestack seismic signal and denoising effects of different algorithms. (a) Original signal; (b) with 5% noise; (c) DTCWT; (d) curvelet; (e) WNNM-true; (f) W-WNNM
    Denoising performances of different algorithms versus noise level in marine signal processing. (a) SNR; (b) MSE
    Landshot seismic signal and denoising effects of different algorithms. (a) Original signal; (b) with 5% noise; (c) DTCWT; (d) curvelet; (e) WNNM-true; (f) W-WNNM
    Denoising performances of different algorithms versus noise level in land signal processing. (a) SNR; (b) MSE
    Land poststack seismic signal and denoising effects of four algorithms. (a) Original signal; (b) with 5% noise; (c) DTCWT; (d) curvelet; (e) WNNM-true; (f) W-WNNM
    • Table 1. Comparison of denoising results corresponding to different noise offsets

      View table

      Table 1. Comparison of denoising results corresponding to different noise offsets

      σ offset /%σ /%
      1251015
      -3036.419231.478825.206220.549517.7511
      -2536.687531.92525.978921.606218.987
      -2036.92832.323326.671622.551820.11
      -1537.123632.63727.214223.323821.0682
      -1037.264232.84427.575923.863621.7701
      -537.346532.942927.758924.110122.0685
      037.371432.946927.785524.077522.0095
      537.342732.878127.681223.849421.7565
      1037.26632.760327.47523.516621.4456
      1537.148932.608927.201423.152621.1344
      2036.997832.43126.885322.800920.8557
      2536.820332.236526.549122.482320.6023
      3036.625432.03126.20522.206320.3703
    • Table 2. Comparison of performance indexes of different denoising algorithms for marine prestack seismic signal

      View table

      Table 2. Comparison of performance indexes of different denoising algorithms for marine prestack seismic signal

      Noise levelDenoising algorithmPSNR/dBSNR/dBMSEIteration number
      W-WNNM33.706728.44100.00048
      WNNM-true33.693828.42810.00046
      σ=5%WNNM-false29.977924.71220.00129
      Curvelet29.287924.02220.0012-
      DTCWT29.575624.30990.0011-
      W-WNNM30.262024.99630.00098
      WNNM-true30.245024.97930.00097
      σ=10%WNNM-false28.781823.51610.00149
      Curvelet25.219419.95370.0030-
      DTCWT25.692820.42710.0027-
      W-WNNM28.166722.90100.00158
      WNNM-true28.123422.85770.00158
      σ=15%WNNM-false27.143121.87740.002010
      Curvelet23.458718.19300.0045-
      DTCWT23.470518.20480.0045-
      W-WNNM26.516621.25090.00228
      WNNM-true26.463221.19750.00239
      σ=20%WNNM-false25.885920.62020.002610
      Curvelet22.145116.87940.0061-
      DTCWT21.997516.73180.0063-
      W-WNNM25.705720.44000.002712
      WNNM-true25.639820.37410.002710
      σ=25%WNNM-false23.599118.33340.004915
      Curvelet21.112715.84710.0077-
      DTCWT20.875015.60930.0082-
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    Zhenjie Feng, Weixue Han. Seismic Signal Blind Denoising Based on W-Weighted Nuclear Norm Minimization[J]. Laser & Optoelectronics Progress, 2019, 56(7): 071503

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    Paper Information

    Category: Machine Vision

    Received: Sep. 4, 2018

    Accepted: Oct. 26, 2018

    Published Online: Jul. 30, 2019

    The Author Email: Zhenjie Feng (49909413@qq.com)

    DOI:10.3788/LOP56.071503

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