• Chinese Optics Letters
  • Vol. 13, Issue 10, 100604 (2015)
Longxue Cheng1, Lixia Xi1、*, Donghe Zhao1, Xianfeng Tang1, Wenbo Zhang2, and Xiaoguang Zhang1
Author Affiliations
  • 1State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 2School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
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    DOI: 10.3788/COL201513.100604 Cite this Article Set citation alerts
    Longxue Cheng, Lixia Xi, Donghe Zhao, Xianfeng Tang, Wenbo Zhang, Xiaoguang Zhang. Improved modulation format identification based on Stokes parameters using combination of fuzzy c-means and hierarchical clustering in coherent optical communication system[J]. Chinese Optics Letters, 2015, 13(10): 100604 Copy Citation Text show less

    Abstract

    In this Letter, we develop the Stokes space-based method for modulation format identification by combing power spectral density and a cluster analysis to identify quadrature amplitude modulation (QAM) and phase-shift keying (PSK) signals. Fuzzy c-means and hierarchical clustering algorithms are used for the cluster analysis. Simulations are conducted for binary PSK, quadrature PSK, 8PSK, 16-QAM, and 32-QAM signals. The results demonstrate that the proposed technique can effectively classify all these modulation formats, and that the method is superior in lowering the threshold of the optical signal-to-noise ratio. Meanwhile, the proposed method is insensitive to phase offset and laser phase noise.
    R=[ExEy]=[AxejφxAyejφy].(1)

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    S=[s0s1s2s3]=[Ax2+Ay2Ax2Ay22AxAycosδ2AxAysinδ],(2)

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    γmax=max|DFT(acn(i))|2/Ns,(3)

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    acn(i)=an(i)1.(4)

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    ma=1Nsi=1Nsa(i).(5)

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    Jm=i=1Nj=1Cuijmxicj2,1m<,(6)

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    uij=1k=1C(xicjxick)2m1,(7)

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    cj=i=1Nuijm·xii=1Nuijm.(8)

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    V=i=1Cj=1Nuij2cixj2+1C(C1)i=1Ck=1,kiCcick2minikcick2+1C.(9)

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    Longxue Cheng, Lixia Xi, Donghe Zhao, Xianfeng Tang, Wenbo Zhang, Xiaoguang Zhang. Improved modulation format identification based on Stokes parameters using combination of fuzzy c-means and hierarchical clustering in coherent optical communication system[J]. Chinese Optics Letters, 2015, 13(10): 100604
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