• Chinese Optics Letters
  • Vol. 19, Issue 5, 050603 (2021)
Jie Zhong1, Ji Zhou2、*, Shecheng Gao2, and Weiping Liu2
Author Affiliations
  • 1School of Electronics and Information Technology, Sun Yat-sen University, Guangzhou 510006, China
  • 2Department of Electronic Engineering, College of Information Science and Technology, Jinan University, Guangzhou 510632, China
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    DOI: 10.3788/COL202119.050603 Cite this Article Set citation alerts
    Jie Zhong, Ji Zhou, Shecheng Gao, Weiping Liu. Secure orthogonal time-frequency multiplexing with two-dimensional encryption for optical-wireless communications[J]. Chinese Optics Letters, 2021, 19(5): 050603 Copy Citation Text show less

    Abstract

    This paper firstly, to the best of our knowledge, proposed two-dimensional (2D) encryption based on the Arnold transformation for implementing a secure DC-biased optical orthogonal time-frequency multiplexing (DCO-OTFM) in optical-wireless communications (OWCs). The encrypted data is transformed to the particular 2D matrix and decrypted by the only key to get the correct information. Meanwhile, the number of keys in 2D encryption is enormous, which prevents eavesdroppers from exhaustively searching secret keys rapidly to find the right decryption. Numerical results demonstrate that the secure DCO-OTFM based on 2D encryption can effectively prevent signal decryption from the eavesdropper, which has good secure performance for applying in OWC.
    h(τ)=p=0Phpδ(ττp),

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    hcb(τ)=6a6(τ+a)7u(τ),

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    yE(t)=hcb(τ)*sE(t)+n(t).

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    Xo(n,m)=2N(M2)k=0N1l=0M/22xo(k,l)ej2π(nkN2mlM2),

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    {X(n,0)=X(n,M/2)=0,n[0,N1],X(n,m)=Xo(n,m),n[0,N1],m[1,M22],X(n,m)=Xo*(n,Mm),n[0,N1],m[M+22,M1].

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    X¯=MFMHXT.

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    x¯(m,n)=1Mm=0M1XT(n,m)ej2πmlM=2Mm=1M/21[a(m,n),b(m,n)][cosφsinφ],

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    [mn]=[1ab1+ab][mn]mod(M),

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    [mn]=[1abq1+abq][mn]mod[MN],

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    q=Ngcd(M,N).

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    TD=TArTE,

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    X˜=1MFMX^D,

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    X˜o(u,v)=X˜T(n,m),n[0,N1],m[1,M/21],

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    x˜o(k,l)=u=0N1v=0M/22X˜o(u,v)ej2π(ukN2vlM2),

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    Jie Zhong, Ji Zhou, Shecheng Gao, Weiping Liu. Secure orthogonal time-frequency multiplexing with two-dimensional encryption for optical-wireless communications[J]. Chinese Optics Letters, 2021, 19(5): 050603
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