Study of Injection Pulling of Oscillators in Phase-Locked Loops
Study of Injection Pulling of Oscillators in Phase-Locked Loops
复制标题
锁相环振荡器注入牵引的研究
DOI：
10.1109/tvlsi.2020.3037895
复制
发表时间：
2021
影响因子：
2.8
通讯作者：
Tsutomu Yoshimura
中科院分区：
文献类型：
--
作者：
Tsutomu Yoshimura;Tsutomu Yoshimura
本文用非线性微分方程组关于振荡器相位的线性近似，分析了锁相环（PLL）电路中振荡器的注入牵引。将此分析应用于注入锁定PLL（IL-PLL）中的注入拉动和级联PLL中振荡器之间的相互注入，结果表明，由于注入，反馈回路变得不稳定，并且传递函数在PLL带宽的边缘处呈现出大的峰值增益。基于线性模型的模拟证实了这些观察结果。第二级与第一级的耦合可以控制传输特性的峰值增益。对IL PLL和级联PLL测试电路的测量验证了所提出的线性化模型。特别是，它揭示了抖动的产生依赖于注入和振荡器之间的定时差。此外，在级联的PLL，它示出了一个适当控制的注入脉冲减轻抖动产生所造成的相互注入拉。本研究提出了独立和个人PLL的自我和相互干扰的重要观点。
The injection pulling of oscillators in phase-locked loop (PLL) circuits is analyzed by the linear approximation of nonlinear differential equations in terms of the oscillator phase. Applying this analysis to injection pulling in an injection-locked PLL (IL-PLL) and mutual injection between oscillators in a cascaded PLL, it is shown that the feedback loop becomes unstable due to the injection and the transfer function exhibits a large peak gain at the edge of the PLL bandwidth. These observations are confirmed by simulations based on linear model. It is also found that coupling from the second stage to the first stage can control the peak gain of transfer characteristics. Measurements on the test circuits of IL-PLL and cascaded PLL validate the proposed linear model. In particular, it reveals the dependence of jitter generation on the timing difference between the injection and oscillator. Additionally, in the cascaded PLL, it is shown that a properly controlled injection pulse mitigates the jitter generation caused by mutual injection pulling. This study presents important viewpoints on self and mutual interference in stand-alone and individual PLLs.