Low-Complexity Triplet-Correlative Perturbative Fiber Nonlinearity Compensation for Long-Haul Optical Transmission

In this paper, we propose a triplet-correlative perturbative nonlinearity compensation (TC-PNC) scheme to compensate for intra-channel fiber nonlinear impairments. The complexity of TC-PNC is much lower than both of the conventional perturbative nonlinearity compensation (PNC) and degenerate PNC (DPNC), while the compensation performance of TC-PNC is much better than DPNC and is slightly worse than PNC. Compared to PNC and DPNC, the implementation complexity of TC-PNC is reduced by 94.73% and 22.53%, respectively. The compensation performance is evaluated by both simulations and experiments. In simulations with a transmission distance of 2000 km for 70 Gbaud dual-polarization 16-ary quadrature amplitude modulation (16QAM) signals, the signal-to-noise ratio (SNR) gains of TC-PNC are 0.3 dB and 0.77 dB compared to DPNC and the uncompensated case, respectively. In experiments for 30 Gbaud dual-polarization probabilistically shaped 16QAM (PS-16QAM) signals with a transmission distance of 432 km, the effectiveness of TC-PNC is validated by comparing the performance relative to PNC and DPNC.