• Laser & Optoelectronics Progress
  • Vol. 60, Issue 17, 1706001 (2023)
Huaijun Qin1, Yang Cao2,*, Xiaofeng Peng1, and Zupeng Zhang1
Author Affiliations
  • 1School of Electrical and Electronic Engineering, Chongqing University of Technology, Chongqing 400054, China
  • 2Periodical Agency of Chongqing University of Technology, Chongqing 400054, China
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    DOI: 10.3788/LOP222255 Cite this Article Set citation alerts
    Huaijun Qin, Yang Cao, Xiaofeng Peng, Zupeng Zhang. Bit Error Rate Performance of Cooperative Free Space Optical Communication System with Hierarchical Modulation and Physical Layer Network Coding[J]. Laser & Optoelectronics Progress, 2023, 60(17): 1706001 Copy Citation Text show less

    Abstract

    A hierarchical modulation joint-physical layer network coding scheme is proposed to address the problems of incomplete channel condition utilization in asymmetric cooperative free space optical communication system and deterioration of data reliability due to high-order modulation. In this scheme, the information to be transmitted is classified first in data priorities at the source node followed by the allocation of transmission powers of different proportions to the prioritized data. Subsequently, the modulated data are sent to each node, and physical layer network coding is performed on the received data at the relay node. Finally, the relay node sends the encoded information to the destination node, and the destination node recovers the original information using the physical layer network coding scheme. The simulation results show that the bit error rate (BER) of the system can be reduced to values < 10-8 in high-signal-to-noise ratio (SNR) channels. The system can achieve SNR gains ≥1.5 dB by using this scheme in the intense atmospheric turbulence channel. This scheme yields better antijamming performance in intense atmospheric turbulence channel cases.
    fh=2αβα+β/2ΓαΓβhα+β2-1Kα-β2αβh
    α=exp0.49σl21+1.11σl12/57/6-1-1
    β=exp0.51σl21+0.69σl12/55/6-1-1
    σl2=1.23Cn2k7/6L11/6
    Si=αSih+1-αSil
    ξ1=S1hS3l
    ξ2=S1lS3h
    ξ3=S2hS4l
    ξ4=S2lS4h
    Ji=αϕi+1-αφi,     i=1,2
    yRNi=hRNJi+nN= hRNβϕi+1-βφi+nN,    i=1,2
    ϕi^=argminyRN-hRNαϕi2
    φi^=argminyRN-hRNαϕi^+1-αφi2
    S2l=S4hS2lS4h
    S4l=S2hS4lS2h
    S3l=S1lS1lS3h
    S3h=S1hS1hS3l
    Pe¯=0BERSNRfhdh
    fγ=2αβα+β/2ΓαΓβγα+β4-1γ¯α+β4Kα-β2αβγγ¯
    P¯e=αβα+β24πΓαΓβ0BERSNRγα+β4-1γ¯α+β4G2,00,2αβγγ¯-α-β2,-α-β2dγ
    BERSNR=erfcGa,b;λ,Mγ¯
    Ga,b;λ,M=a+bλ221+λM2-12+23M4-1λ2
    P¯ea,b;λ,M,γ=αβα+β24πΓαΓβ0erfcGa,b;λ,Mγ¯γα+β4-1γ¯α+β4G2,00,2αβγγ¯-α-β2,-α-β2dγ
    PεSiRSihλ=14P¯ea1,b1;λ,M,γ¯+P¯ea2,b2;λ,M,γ¯
    PεSiRSilλ=12P¯ea1,b1;λ,M,γ¯-14P¯ea2,b2;λ,M,γ¯+14P¯ea3,b3;λ,M,γ¯
    PεSiRSihλ,μ=14P¯e1,0;λ,M,μγ¯SiR+P¯e1,2;λ,M,μγ¯SiR
    PεSiRSilλ,μ=12P¯e0,1;λ,M,μγ¯SiR-14P¯e2,3;λ,M,μγ¯SiR+14P¯e2,1;λ,M,μγ¯SiR
    PS2S1=12PεS2S1S2hλ,μ+121-1-PεS4RS4hλ1-PεS2RS2lλ1-PεRS1Jhλ1-PεS4S1S2hλ,μ
    PS4S1=12PεS4S1S4hλ,μ+121-1-PεS2RS2hλ1-PεS4RS4lλ1-PεRS1Jlλ1-PεS4S1S4hλ,μ
    PS3S1=1-121-PεS1RS1hλ1-PεS3RS3lλ1-PεRS1Jhλ+1-PεS3RS3hλ1-PεS1RS1lλ1-PεRS1Jlλ
    Pλ,μ=1-1-PS2S11-PS3S11-PS4S1
    Huaijun Qin, Yang Cao, Xiaofeng Peng, Zupeng Zhang. Bit Error Rate Performance of Cooperative Free Space Optical Communication System with Hierarchical Modulation and Physical Layer Network Coding[J]. Laser & Optoelectronics Progress, 2023, 60(17): 1706001
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