A method for the phase noise characterization of single-loop optoelectronic oscillators (OEO) is presented. Based on the injection-pulling dynamics of OEO under radio frequency (RF) signal injection, this method is used to compute the phase noise spectrum of a free-running single-loop OEO. From the injection locking equation, the expression for the output RF spectrum of single-loop OEO under the influence of a single sinusoidal RF signal injection is derived and this analysis is then utilized to study the RF output power spectrum of the single-loop OEO when injected by two weak and equally strong RF sinusoidal signals with mirror frequencies with respect to the free-running frequency of the OEO. An expression for the far-out phase noise spectrum of a free-running single-loop OEO is presented to capture the far-out phase noise characteristics of the OEO. Also, we derive the expression for the close-in phase noise spectrum of the free-running single-loop OEO by considering the multiplicative noise as the overall loop-gain perturbation in the OEO loop. The experimental results are also given in partial support to the conclusions of the analysis.

中文翻译：

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光电振荡器的相位噪声谱计算

提出了一种用于单环光电振荡器（OEO）的相位噪声表征的方法。基于OEO在射频（RF）信号注入下的注入-拉动动力学，该方法用于计算自由运行单环OEO的相位噪声谱。根据注入锁定方程，推导在单正弦RF信号注入的影响下单回路OEO的输出RF频谱的表达式，然后利用该分析来研究单回路OEO在以下情况下的RF输出功率谱：由两个弱且同样强的RF正弦信号注入，它们的镜像频率相对于OEO的自由运行频率。给出了自由运行单回路OEO的远端相位噪声频谱的表达式，以捕获OEO的远端相位噪声特性。此外，我们通过将乘性噪声视为OEO环路中的整体环路增益扰动来推导自由运行单环路OEO的近相噪声频谱的表达式。实验结果也为分析结论提供了部分支持。