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In this letter, we propose the extension of a previously presented analyticalmodel for the estimation of the signal-to-noise ratio (SNR) at the output of anadaptive equalizer in coherent optical transmission systems when transmissionis modeled as a generic 2x2 matrix transfer functions, to be applied topolarization multiplexed communications based on advanced modulation formats(PM-QAM). We present the model and then we extensively test its accuracy on anpossible application environment. Our findings show a remarkable agreement,with maximum SNR discrepancies of about 0.5 $dB$ between time-domainsimulations and analytical results.

An Analytical Model for SNR Prediction in Coherent Systems after generic Jones Matrices