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Locking time of oscillators under external frequency injection

机译:外部频率注入下振荡器的锁定时间

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In this work, time domain analysis is used to solve Adler's equation to obtain the phase shift between a free-running oscillator and an externally injected oscillator. In addition, the time required to acquire locking between the two oscillators is also deduced. The dependency of the locking time versus characteristics of the oscillator such as the quality factor, Q, and its free-running frequency are also discussed. Finally, the analyses are verified by simulations of a typical LC oscillator under injection. The results of this analysis enable designers to evaluate the exact timing budget required to achieve injection locking.
机译:在这项工作中,时域分析用于求解阿德勒方程,以获得自由运行的振荡器与外部注入的振荡器之间的相移。另外,还推导了获得两个振荡器之间的锁定所需的时间。还讨论了锁定时间与振荡器特性(如品质因数,Q及其自由运行频率)的相关性。最后,通过注入下典型LC振荡器的仿真验证了分析结果。分析结果使设计人员能够评估实现注入锁定所需的准确时序预算。

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