An apparatus includes an electronic digital signal processor having electrical inputs for receiving a first sequence of measurements of values of a transmitted modulated optical carrier received in a coherent optical receiver and having electrical outputs for a stream of determined transmitted data values demodulated therein from the first sequence. The electronic digital signal processor has first circuitry to determine phase offsets of received pilot values from the first sequence. Additionally, the electronic digital signal processor has second circuitry to correct phase offsets of received ones of the data values from the determined phases of pilot values and data values being temporally interleaved in the transmitted modulated optical carrier. A system and a method are also included.