Online Kernel-Based Phase Recovery for Parametrically Amplified Optical Transmission

We present a kernel-based phase compensation method for transmission links with multiple cascaded fibre-optical parametric amplifiers (FOPAs). Our proposed algorithm predicts and cancels the phase distortions induced by pump-phase modulation and laser line-width across all amplification stages. Through constructing a customised kernel, we numerically show effective correction of phase errors in 16-quadrature-amplitude modulation signal transmission, achieving at least one order of magnitude in bit-error-rate (BER) improvement than the conventional carrier phase recovery.