LAUSR

A degenerated look-up table-based perturbative nonlinearity compensation (DLUT-PNC) algorithm is proposed to compensate for intra-channel fiber nonlinearity. It can flexibly optimize the implementation complexity for probabilistically shaped (PS) signals with different shaping rates. In addition, we propose a homomorphic DLUT-PNC (HDLUT-PNC) scheme to further reduce the complexity. In simulations with a transmission distance of 1200-km for 70-GBaud PS-16QAM signals, both the performances of the DLUT-PNC and HDLUT-PNC are investigated and compared. The HDLUT-PNC scheme significantly reduces the table's input size, number of look-up operations and number of complex multipliers compared to the DLUT-PNC. Moreover, we also numerically investigate 56-Gbaud PS-32QAM signals with a transmission distance of 800-km, and the results are similar. Finally, the performance is verified in experiments for PS-16QAM signals with a transmission distance of 432-km.