Blind Carrier Phase Recovery for General 2{\pi}/M-rotationally Symmetric Constellations

TL;DR

This paper presents a new blind carrier phase recovery estimator for general 2π/M-rotationally symmetric constellations, extending existing methods to a broader class of modulation schemes with demonstrated superior performance.

Contribution

It introduces a generalized Mth order Phase Metric Method (PMM) estimator for various symmetric constellations, unifying and improving upon previous NDA phase recovery techniques.

Findings

The Mth PMM estimator performs well across different modulation schemes.

Simulation results show it outperforms existing blind phase estimators.

The method is applicable to PAM, QAM, PSK constellations.

Abstract

This paper introduces a novel blind carrier phase recovery estimator for general 2{\Pi}/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 Mth order (Mth PMM) in such manner that it covers general 2{\Pi}/M-rotationally symmetric constellations such as PAM, QAM, PSK. Simulation results demonstrate the good performance of this Mth PMM estimation algorithm against competitive blind phase estimators already published for various modulation systems of practical interest.