• Optics and Precision Engineering
  • Vol. 29, Issue 9, 2189 (2021)
Man-ling TIAN1,2,*, Dong-hui LIU1,2, Xiao-min CAO1,2, and Kuang-lu YU1,2,*
Author Affiliations
  • 1Institute of Information Science, Beijing Jiaotong University, Beijing00044, China
  • 2Beijing Key Laboratory of Modern Information Science and Network Technology, Beijing100044, China
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    DOI: 10.37188/OPE.20212909.2189 Cite this Article
    Man-ling TIAN, Dong-hui LIU, Xiao-min CAO, Kuang-lu YU. Signal processing methods of phase sensitive optical time domain reflectometer:a review[J]. Optics and Precision Engineering, 2021, 29(9): 2189 Copy Citation Text show less

    Abstract

    Phase-sensitive optical time domain reflectometry is widely used in perimeter security and other fields because of its advantages of wide monitoring range and high sensitivity. In recent years, researchers have improved optical systems to increase sensing distance and spatial resolution, thus greatly increasing the amount of data that needs to be processed. In addition, strong environmental noise and diverse types of vibrations bring challenges to the practical application of distributed vibration sensing systems. This study summarizes the signal processing methods used to improve the signal-to-noise ratio and vibration recognition rate of the system, including noise reduction algorithms, feature extraction algorithms, machine learning, and deep learning algorithms; compares the advantages and disadvantages of different algorithms; and finally outlines the possible direction of signal processing methods in this field in the future.
    Est=Ascos(2πfst+φs)(1)

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    I(t)=Es2(t)=As22+As22cos(4πfst+2φs)(2)

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    Elt=Alcos(2πflt+φl)(3)

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    I(t)=As2cos2(2πfst+φs)+As2cos2(2πflt+φl)+2AsAlcos(2πfst+φs)cos(2πflt+φl)(4)

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    I(t)=αAsAlcos[2π(fs-fl)t+φs-φl](5)

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    |Ŝwω|2=|Ŷwω|2-E[|Nw(ω)|2](6)

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    Ŝm=ITFT[Ŝwωeiφω](7)

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    XCWTa,b=1a-+ψ*t-baxtdt a,bR&a0(8)

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    XDWTj,k=j,kxj,k(t)2-j2ψt-2jk2j(9)

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    X(n)=i=1LIMFi(n)+resi(n)(10)

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    Y=ϕX=ϕψS=AS(11)

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    W[i,j;m,n]=WG[i,j;m,n]WR[i,j;m,n](12)

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    WR[i,j;m,n]=exp{-Xi,j-Xi+m,j+n22σR2}(13)

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    WG[i,j;m,n]=11+m2+n2(14)

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    y(k)=i=1Qwk,i*xk,i=WkHXk;Q0,M,k(1,N)(15)

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    Wopt,k=αRk-1Sk(ω¯)(16)

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    α=1SkH(ω¯)Rk-1Sk(ω¯)(17)

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    Skω¯=[1;ejω¯;ej2ω¯;;ej2Q-1ω¯T](18)

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    ω¯=2πffs(19)

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    OOB error=(20)

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    Man-ling TIAN, Dong-hui LIU, Xiao-min CAO, Kuang-lu YU. Signal processing methods of phase sensitive optical time domain reflectometer:a review[J]. Optics and Precision Engineering, 2021, 29(9): 2189
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