• Chinese Optics Letters
  • Vol. 15, Issue 5, 050602 (2017)
Duan Zhou1, Tian Cao2、3、*, Yintang Yang4, Jianxian Zhang1, Ping Wang2、5, and Bensheng Yang2
Author Affiliations
  • 1School of Computer Science and Technology, Xidian University, Xi’an 710071, China
  • 2State Key Laboratory of Integrated Service Networks, School of Telecommunications Engineering, Xidian University, Xi’an 710071, China
  • 3Southwest China Research Institute of Electronic Equipment, Chengdu 610036, China
  • 4Key Laboratory of the Ministry of Education for Wide Band-Gap Semiconductor Materials and Devices, School of Microelectronics, Xidian University, Xi’an 710071, China
  • 5School of Physics and Optoelectronic Engineering, Xidian University, Xi’an 710071, China
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    DOI: 10.3788/COL201715.050602 Cite this Article Set citation alerts
    Duan Zhou, Tian Cao, Yintang Yang, Jianxian Zhang, Ping Wang, Bensheng Yang. Symbol error rate performance analysis of soft-decision decoded MPPM free space optical system over exponentiated Weibull fading channels[J]. Chinese Optics Letters, 2017, 15(5): 050602 Copy Citation Text show less

    Abstract

    The symbol error rate (SER) performance of a multipulse pulse-position modulation (MPPM) free space optical (FSO) system under the combined effect of turbulence-induced fading modeled by exponentiated Weibull (EW) distribution and pointing errors with a soft-decision detector is investigated systematically. Particularly, the theoretical conditional SER (CSER) of soft-decision decoded MPPM is derived. The corresponding closed-form CSER is obtained via curve fitting with the Levenberg–Marquardt method. The analytical SER expression over the aggregated fading channels is then achieved in terms of Laguerre integration. Monte Carlo simulation results are also offered to corroborate the validity of the proposed SER model.
    fn(x)=(1/2πσn)exp(x2/2σn2).(1)

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    fha(h)=αβhβ1ηβexp[(hη)β]{1exp[(hη)β]}α1,(2)

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    Fha(h)={1exp[(h/η)β]}α,(3)

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    fh(h)=αγ2ηA0(hηA0)γ21j=0T2(j)Γ[1T1,T3(j)],(4)

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    Fh(h)=αγ2β(hηA0)γ2j=0T2(j)G2,32,1[T3(j)|1T1,10,1T1,T1],(5)

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    yout={ξh+n,signaltimeslot,n,non-signaltimeslot,(6)

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    μ=ξ2h2/N0=μ¯h2,(7)

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    fxi(x)=fn(x)=(1/2πσn)exp(x2/2σn2).(8)

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    Fxi(x)=xfxi(x)dt=Q(x/σn),(9)

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    FX(x)=[Fxi(x)]NM=[Q(x/σn)]NM.(10)

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    fX(x)=NM2πσnexp(x22σn2)[Q(xσn)]NM1.(11)

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    fyj(y)=(1/2πσn)exp[(yξ)2/2σn2].(12)

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    Fyj(y)=Q[(ξy)/σn].(13)

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    FY(y)=1{Q[(yξ)/σn]}M.(14)

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    fY(y)=12πσnexp((yξ)22σn2)M[Q(yξσn)]M1.(15)

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    fX(x)=NM2πσnexp(x22σn2)[Q(xσn)]NM1,(16)

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    fΨ(ψ)=fY(ψ)*fX(ψ)=(NM)M2πσn2+[Q(φξσn)]M1×[Q(ψφσn)]NM1exp((φξ)22σn2(ψφ)22σn2)dφ,(17)

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    PCSER(σn)=0fΨ(ψ)dψ.(18)

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    PCSER(μ)=b1exp(b2μ),(19)

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    Pe=0CBER(μ)fμ(μ)dμ=0CBER(μ)dFμ(μ)=0Fμ(μ)dCBER(μ)=b1b20exp(b2μ)Fμ(μ)dμ.(20)

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    Pe=b1b2k=1mδkexp[(1+b2)εk]Fμ(εk),(21)

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    δk=(m!)2εk/{(m+1)2[Lm+1(εk)]2}.(22)

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    Duan Zhou, Tian Cao, Yintang Yang, Jianxian Zhang, Ping Wang, Bensheng Yang. Symbol error rate performance analysis of soft-decision decoded MPPM free space optical system over exponentiated Weibull fading channels[J]. Chinese Optics Letters, 2017, 15(5): 050602
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