Theoretical analysis of PAM-N and M-QAM BER computation with single-sideband signal

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In this paper,the theoretical bit error rate(BER)of N-level pulse amplitude modulation(PAM-N)and M-ary quadrature amplitude modulation(M-QAM)have been studied and compared under different scenarios,including(i)PAM with intensity modulation with direct detection(IM/DD)and field modulation with detection(FMD)(including coherent detection and single-sideband modulation with direct detection(SSB-DD)),and(ii)QAM with coherent detection and SSB-DD.Considering the relationship between the symbol spacing and signal-to-noise ratio(SNR),we provide the mathematical BER equations,including the optical signal-to-noise ratio(OSNR)and carrier-to-signal power ratio(CSPR),especially for PAM signals.To verify the validity of our theoretical expressions for SSB systems,transmissions with 224-Gb/s SSB-PAM4/16QAM signals using the Kramers-Kronig(KK)receiver were implemented on a unified optical system platform.The simulation results agreed well with theoretical calculations both in back-to-back(BtB)and 120-km transmission scenarios,which showed that the BER evaluation methods can serve as a theoretical guidance and system assessment criteria for SSB scenarios.
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