  We propose 4D modulation with directed detection employing a novel
Stokes-Vector Kramers-Kronig transceiver. It shows that employing Stokes vector
receiver, transmitted digital carrier and Kramers-Kronig detection offers an
effective way to de-rotate polarization multiplexed complex double side band
signal without using a local oscillator at receiver. The impact of system
parameters and configurations including carrier-to-signal-power ratio, guard
band of the digital carrier, oversampling ratio and real MIMO is experimentally
investigated. Finally, a record 480 Gb/s data rate over 80 km SSMF is achieved
in a 60 Gbaud PDM-16QAM single carrier experiment with a BER below the
threshold of 2.0x10-2
