On Models, Bounds, and Estimation Algorithms for Time-Varying Phase Noise
In this paper, a new discrete-time model of phase noise for digital communication systems, based on a comprehensive continuous-time representation of time-varying phase noise is derived and its statistical characteristics are presented. The proposed phase noise model is shown to be more accurate than the classical Wiener model. Next, using the proposed discrete-time model, the Non-Data-Aided (NDA) and Decision-Directed (DD) Maximum-Likelihood (ML) estimators of time-varying phase noise are derived. To evaluate the performance of the proposed estimators, the Cramer-Rao Lower Bound (CRLB) for each estimation approach is derived and by using Monte-Carlo simulations it is shown that the Mean-Square Error (MSE) of the proposed estimators converges to the CRLB at moderate Signal-to-Noise Ratios (SNR).