论文标题
施密特触发的亚稳定行为
The Metastable Behavior of a Schmitt-Trigger
论文作者
论文摘要
Schmitt-Trigger电路是将通用信号形状转换为干净,举止良好数字的首选方法。在这种情况下,这些电路通常也用于算术。但是,像其他任何积极的反馈电路一样,施密特触发器可以自身中稳态。因此,必须充分理解其自身的可稳定行为。特别是可能导致其稳定性的条件。在本文中,我们将基于Marino的现有结果,以表明(a)单调输入信号可能会导致较晚的过渡,但永远不会导致Schmitt-Trigger输出处的非数字电压,并且(b)非单调输入可以将Schmitt-Trigger输出固定到任何期望的(也是非数值)级别的持续电压。实际上,甚至可以将输出驱动到系统动态限制内的任何波形。我们将基于Schmitt-Trigger动态行为的数学模型的分析,并执行香料模拟以支持我们的理论并确认其对现代CMOS实施的有效性。此外,根据我们的结果,我们将讨论施密特触发的几种用例。
Schmitt-Trigger circuits are the method of choice for converting general signal shapes into clean, well-behaved digital ones. In this context these circuits are often used for metastability handling, as well. However, like any other positive feedback circuit, a Schmitt-Trigger can become metastable itself. Therefore, its own metastable behavior must be well understood; in particular the conditions that may cause its metastability. In this paper we will build on existing results from Marino to show that (a) a monotonic input signal can cause late transitions but never leads to a non-digital voltage at the Schmitt-Trigger output, and (b) a non-monotonic input can pin the Schmitt-Trigger output to a constant voltage at any desired (also non-digital) level for an arbitrary duration. In fact, the output can even be driven to any waveform within the dynamic limits of the system. We will base our analysis on a mathematical model of a Schmitt-Trigger's dynamic behavior and perform SPICE simulations to support our theory and confirm its validity for modern CMOS implementations. Furthermore, we will discuss several use cases of a Schmitt-Trigger in the light of our results.