A two-stage phase noise compensation (PNC) algorithm is proposed based on the circular multilevel quadrature amplitude modulation (C-mQAM). In the first stage, a cost function to estimate the phase noise roughly is constructed, before which the received symbols are classified by their amplitudes and rotated. It can be approximated to a cosine function, and three test phases are required for the calculation of its parameters. Kalman filter (KF), utilized in the second stage, provides the final estimation of phase noise. The performance of the proposed algorithm is evaluated with two aspects of computational complexity and the combined linewidth symbol duration product (△v·Ts) tolerance. The results show that the proposed algorithm offers a low computational complexity and high △v·Ts tolerance compared to the blind phase search (BPS) algorithm and extemded Kalman filter (EKF) algorithm.
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