We consider the phase noise affecting communication systems, where local oscillators are employed to obtain a reference signal for frequency and timing synchronizations. We try to fill the gap between measurements and analytical models, in case of free-running and phase-locked oscillators. In particular, we propose a closed form expression for the power spectral density of the phase noise described by few parameters that are explicitly linked to the oscillator measurements. We also propose an analytical model for the oscillator power spectral density. We then consider the discrete-time domain, and analyse the most common discrete-time phase noise channel model with reference to the measurements parameters and to the system bandwidth. In this context, we show that the proposed models for power spectral densities lead to analytical models for the discrete-time phase noise signal, that can be used for the design of estimation/detection algorithms, for performance evaluation, or simply for fast simulations.

翻译：我们考虑影响通信系统的阶段噪声,使用当地振荡器获得频率和时间同步的参考信号。我们试图填补测量和分析模型之间的差距,如果是自由运行的和相继的振动器的话。我们特别建议以封闭形式表达与振动器测量有明确联系的少数参数所描述的阶段噪声的能量光谱密度。我们还为振荡器光谱密度提出了一个分析模型。我们然后考虑离散时间域,并分析最常见的离散时间级噪声信道模型,参照测量参数和系统带宽。我们在此情况下显示,拟议的电光谱密度模型为离散时间噪声信号的分析模型,可用于设计估计/探测算法,用于绩效评估,或仅用于快速模拟。