Discrete-time models and performance of phase noise channels

TL;DR

This paper analyzes discrete-time phase noise channel models in communication systems, evaluating power loss, intersymbol interference, and oscillator effects to better predict system performance based on phase noise characteristics.

Contribution

It provides a detailed analysis of the discrete-time phase noise channel model, linking measurements to analytical predictions and deriving an expression for residual phase error variance.

Findings

Power loss and intersymbol interference depend on system bandwidth and phase noise.

Residual phase error variance is derived as a function of oscillator parameters.

Performance varies with symbol rate and oscillator quality.

Abstract

This paper deals with the phase noise affecting communication systems, where local oscillators are employed to obtain reference signals for carrier and timing synchronizations. The most common discrete-time phase noise channel model is analyzed, with the aim to fill the gap between measurements and analytical models. In particular, the power loss and the intersymbol interference due to the presence of phase noise is evaluated with reference to the measurements parameters and to the system bandwidth. Moreover, the impact on the communication systems' performance of the phase noise originating from the oscillator non idealities is considered, in case of free-running and phase-locked oscillators. The proposed analysis allows to extrapolate useful information about the performance of practical systems by investigating the power spectral density of the oscillator phase noise. An expression for the variance of the residual phase error after tracking, which depends on the main parameters of practical oscillators, is derived, and used to study the dependence of the performance on the symbol rate.