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Injection signaling in relaxation oscillators

机译：放松振荡器中的注射信号

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This paper investigates relation between injection signaling and the lock range of relaxation oscillators. We show that lock range is determined by the effective injection signals of Volterra circuits contributed by both external injection signals and the nonlinearity of oscillators. The larger the harmonic tones of injection signals and the higher the degree of the nonlinearity of oscillators, the larger the effective injection signals subsequently the larger the lock range. We further show in order to maximize the contribution of external injection signals, injection phase needs to be /2, valid for oscillators with either single or multi-tone injections. Moreover, we show to maximize lock range, the duty cycle of injection signals needs to be 50%. Finally, we show the phase noise of relaxation oscillators has a similar profile as that of harmonic oscillators. The quality factor of relaxation oscillators is smaller as compared with that of harmonic oscillators. The higher the degree of the nonlinearity of the relaxation oscillator, the smaller the quality factor of the relaxation oscillator subsequently the higher the phase noise. The theoretical findings on the lock range of relaxation oscillators are validated using the simulation results of a dual-comparator relaxation oscillator designed in TSMC 180nm 1.8V CMOS technology.
机译：本文研究了注入信号和锁定范围之间的关系。我们表明锁定范围由由外部喷射信号和振荡器的非线性贡献的Volterra电路的有效喷射信号决定。注射信号的谐波音调越大，振荡器的非线性程度越高，有效喷射信号越大，随后锁定范围越大。我们进一步显示，为了最大化外部注入信号的贡献，需要注入阶段是/ 2，适用于具有单个或多色调注入的振荡器。此外，我们展示了最大化锁定范围，注射信号的占空比需要为50％。最后，我们展示了松弛振荡器的相位噪声具有与谐波振荡器类似的轮廓。与谐波振荡器相比，松弛振荡器的质量因子较小。弛豫振荡器的非线性的程度越高，弛豫振荡器的质量因子越小，随后较高的相位噪声。使用在TSMC 180NM 1.8V CMOS技术的双对比器弛豫振荡器的仿真结果验证了锁定振荡器锁定范围的理论发现。

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