论文标题
使用噪声来增加振荡器之间的同步
Using Noise to Augment Synchronization among Oscillators
论文作者
论文摘要
预计噪声将在模拟系统(例如耦合振荡器)的动力学中发挥重要作用,这些振荡器最近被探讨为用于计算应用程序的硬件平台。在这项工作中,我们通过实验研究噪声对弛豫振荡器及其计算特性的同步的影响。具体而言,与通常预期的不良影响相反,我们首先证明了共同的白噪声输入会诱导未耦合振荡器之间的全局频率同步。实验表明,诱导同步所需的最小噪声电压随振荡器输出的幅度线性增加,而随着振荡器数量的增加,它会减小。此外,我们的工作表明,在振荡器的耦合系统中 - 与解决计算问题(例如图形着色)有关,注入白噪声有助于降低最小所需的电容耦合强度。通过注入噪声,耦合系统显示出频率同步以及所需的基于阶段的计算特性,其耦合强度低于未引入外部噪声所需的频率同步。因此,这可以减少耦合元件的足迹和相应的区域密集型耦合体系结构。我们的工作表明,噪声可以用作有效的旋钮,以优化基于振荡器的计算平台的实现。
Noise is expected to play an important role in the dynamics of analog systems such as coupled oscillators which have recently been explored as a hardware platform for application in computing. In this work, we experimentally investigate the effect of noise on the synchronization of relaxation oscillators and their computational properties. Specifically, in contrast to its typically expected adverse effect, we first demonstrate that a common white noise input induces global frequency synchronization among uncoupled oscillators. Experiments show that the minimum noise voltage required to induce synchronization increases linearly with the amplitude of the oscillator output whereas it decreases with increasing number of oscillators. Further, our work reveals that in a coupled system of oscillators - relevant to solving computational problems such as graph coloring, the injection of white noise helps reduce the minimum required capacitive coupling strength. With the injection of noise, the coupled system demonstrates frequency synchronization along with the desired phase-based computational properties at 5x lower coupling strength than that required when no external noise is introduced. Consequently, this can reduce the footprint of the coupling element and the corresponding area-intensive coupling architecture. Our work shows that noise can be utilized as an effective knob to optimize the implementation of coupled oscillator-based computing platforms.