There is provided a Kramers-Kronig receiver, comprising a reception path; wherein the reception path comprises: a Stokes receiver that is configured to receive a polarization-multiplexed signal and to output a Stokes vector; wherein the polarization-multiplexed signal comprises a first modulated signal, a second modulated signal and a continuous wave signal; wherein the first modulated signal is of a first polarization; wherein the second modulated signal is of a second polarization; wherein the continuous wave signal is of the first modulation or of the second modulation; a set of analog to digital converters that are configured to generate a digital representation of the Stokes vector; and a digital processor that is configured to process the digital representation of the Stokes vector to provide a reconstructed polarization-multiplexed signal, wherein the processing is based on a Kramers-Kronig relationship related to the polarization-multiplexed signal.
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