On models, bounds, and estimation algorithms for time-varying phase noise

Abstract

In this paper, a new discrete-time model of phase noise for digital communication systems, based on a continuoustime 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 this model, 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 Cramér-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-tonoise ratios (SNR). Finally, simulation results show that the proposed estimators outperform existing estimation methods as the variance of the phase noise process increases.

Joint Estimation of Channel and Oscillator Phase Noise in MIMO Systems

“…The Cramér-Rao lower bounds (CRLB) and algorithms for estimation of phase noise in single-input single-output (SISO) systems are extensively and thoroughly analyzed in [3], [16]- [30]. However, these results are not applicable to MIMO systems, where a received signal may be affected by multiple phase noise parameters that need to be jointly estimated at the receiver [13], [31]- [33].…”

Adaptive PSK Modulation Scheme in the Presence of Phase Noise

“…Besides mathematical convenience [13], [14], the Gaussian distribution is also a relevant PN model. When considering wide bandwidth systems 2 , the oscillator noise floor represents the greatest contribution to the overall PN [10], such that the Wiener PN becomes negligible compared to the Gaussian one,…”

Reduced-complexity synchronization for high-order coded modulations

“…Although realistic oscillators can be characterized by more comprehensive models [14], [15], in this paper, a "classical" model, with quadratic power spectrum decay, is considered [16]. The equivalent discrete-time model is the well-known Wiener model:…”