A Closed-form Expression for Transmission Performance of Direct Detection Systems with Kramers-Kronig Receiver

In recent years, direct detection (DD) transmission with Kramers Kronig (KK) receiver has attracted a lot of attention as a promising technology for short reach and metro applications due to its capability of electronic chromatic dispersion (EDC) compensation and the possibility of cancelling completely the signal-signal beat interference (SSBI) resulted from the nonlinearity the photodiode. However, the achievable performance of DD transmission with KK receiver is still not well understood, especially in the presence of the laser phase noise which strongly interacts both with the optical carrier and with chromatic dispersion during propagation. In this paper, for the first time, we derive a closed form expression for estimating the achievable performance of DD transmission with KK receiver under the influence of laser phase noise, taking in to account the phase to amplitude noise conversion and equalization enhanced phase noise phenomena. In comparison with Monte Carlo simulation, our model shows less than 0.2 dB discrepancy for a wide range of system parameters, showing its high accuracy.