Blind Carrier Phase Recovery for General 2π/M-rotationally Symmetric Constellations

This paper introduces a novel blind carrier phase recovery estimator for general 2π/M-rotationally symmetric constellations. This estimation method is a generalization of the non-data-aided (NDA) nonlinear Phase Metric Method (PMM) estimator already designed for general quadrature amplitude constellations. This unbiased estimator is seen here as a fourth order PMM then generalized to M th order (M th PMM) in such manner that it covers general 2π/M-rotationally symmetric constellations such as PAM, QAM, PSK. Simulation results demonstrate the good performance of this M th PMM estimation algorithm against competitive blind phase estimators already published for various modulation systems of practical interest.