• Chinese Optics Letters
  • Vol. 16, Issue 4, 040604 (2018)
Aadil Raza1, Kangping Zhong2、*, Salman Ghafoor3、**, Saeed Iqbal1, Muhammad Adeel2, Shahid Habib1, Muhammad Fasih Uddin Butt1, and Chao Lu2
Author Affiliations
  • 1COMSATS Institute of Information Technology (CIIT), Islamabad, Pakistan
  • 2Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, China
  • 3National University of Sciences and Technology (NUST), Islamabad, Pakistan
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    DOI: 10.3788/COL201816.040604 Cite this Article Set citation alerts
    Aadil Raza, Kangping Zhong, Salman Ghafoor, Saeed Iqbal, Muhammad Adeel, Shahid Habib, Muhammad Fasih Uddin Butt, Chao Lu. SER estimation method for 56 GBaud PAM-4 transmission system[J]. Chinese Optics Letters, 2018, 16(4): 040604 Copy Citation Text show less

    Abstract

    In this Letter, we have proposed a generalized Gaussian probability density function (GGPDF)-based method to estimate the symbol error ratio (SER) for pulse amplitude modulation (PAM-4) in an intensity modulation/direct detection (IM/DD) system. Furthermore, a closed form expression of SERGGD for PAM-4 has been derived. The performance of the proposed method is evaluated through simulation as well as experimental work. The fitting of probability density functions of the received signal is applied via GGPDF and shape parameters P1 and P2 associated with different PAM-4 levels are determined. The optimum single value of shape parameter P is then calculated to estimate the SER. The mathematical relationship of P with different received optical powers and receiver bandwidths has been determined and verified. The proposed method is a fast and accurate method to estimate SER of a PAM-4 system, which is more reliable and in agreement with the error counting method.
    f(x:μ,σ,P)=12Γ(1+1/P)A(P,σ)exp{[|xμ|A(P,σ)]P},(1)

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    SERGGD=1log10(N)n=1NP(In)[P(In1|In)+P(In+1|In)],(2)

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    SERGGD=14[th1f1(x:μ,σ,P1)dx+th1f3(x:μ,σ,P1)dx+th2f+1(x:μ,σ,P2)dx+th2f1(x:μ,σ,P1)dx+th3f+3(x:μ,σ,P2)dx+th1f+1(x:μ,σ,P2)dx],(3)

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    P=f(B,PROP)=a0+a1B+a2PROP+a3B2+a4BPROP+a5PROP2+a6B3+a7B2PROP+a8BPROP2+a9PROP3,(4)

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    Aadil Raza, Kangping Zhong, Salman Ghafoor, Saeed Iqbal, Muhammad Adeel, Shahid Habib, Muhammad Fasih Uddin Butt, Chao Lu. SER estimation method for 56 GBaud PAM-4 transmission system[J]. Chinese Optics Letters, 2018, 16(4): 040604
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