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Multi-Phase Injection Widens Lock Range of Ring-Oscillator-Based Frequency Divid
通过多相注入技术显著扩大基于环形振荡器的频率分频器的锁定范围。
锁定范围DC至1.5倍自由运行频率
频率分频器注入锁定环形振荡器多相输出锁定范围
▸创新点1：多相注入技术（方法创新）：通过在多相注入中使用正确的渐进相位，显著扩大了输入锁定范围，实现了从DC到1.5倍自由运行频率的锁定范围，这是迄今为止报道的最高值。
▸创新点2：广义Adler方程分析（方法创新）：基于广义Adler方程对大注入情况下的注入锁定环形振荡器进行了详细分析，推导了输入锁定范围的表达式，为设计提供了理论支持。
▸创新点3：紧凑型环形振荡器设计（电路创新）：采用环形振荡器作为分频器，不仅结构紧凑，还能提供多相输出，包括正交相位，提高了电路的集成度和功能性。
▸创新点4：延迟单元电路优化（电路创新）：通过优化延迟单元电路，确保在多相注入中仅需一或两相注入输入即可实现宽锁定范围，简化了电路设计并提高了可靠性。
Abstract
Injection-locked oscillators divide at very high fre-
quencies and consume low power. They are not widely deployed
in commercial products because they operate over small, often
unpredictable, ranges of input frequencies. Ring oscillators as
dividers are interesting because they are compact, and capable
of a multi-phase output, including quadrature phases. Using a
generalized Adler’s equation for large injections, we analyze the
operation of injection-locked ring oscillators and derive expres-
si