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arXiv 2608.27765physics.ins-detphysics.app-ph

用于频域模拟矢量矩阵乘法的频率同步电路模型

Frequency Synchronization Circuit Model for Analog Vector-Matrix Multiplication in the Frequency Domain

Taeju Lee, Scott T. Habermehl, Timothy W. Caplice, Michael L. Roukes, Philip X. -L. Feng, Kenneth L. Shepard

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中文总结 AI 辅助

本研究提出一种用于频域模拟矢量矩阵乘法的频率同步电路模型,采用全连接耦合振荡器实现,结合振荡器与MEMS/NEMS谐振器,通过小信号分析明确同步频率的参数关系,还探讨了部分同步方法。

中文摘要 AI 辅助

本研究提出一种用于频域模拟矢量矩阵乘法的频率同步电路模型,该频率同步通过全连接耦合振荡器实现,每个振荡器采用互补交叉耦合跨导对和RC高通滤波器构建。研究不仅单独使用振荡器实现频率同步,还探讨了振荡器与谐振器模型(即MEMS/NEMS谐振器)结合的配置方式;在解决所有耦合振荡器的频率同步问题的同时,还讨论了通过控制选定振荡器子集的耦合强度实现的部分同步。该频率同步分析采用模拟电路和谐振器模型进行小信号分析,从而可理解由模拟电路和谐振器模型参数定义的同步频率。

英文摘要

This work introduces a frequency synchronization circuit model for analog vector-matrix multiplication in the frequency domain. The frequency synchronization is implemented by coupling oscillators through all-to-all connections. Each oscillator is implemented using complementary cross-coupled transconductance pairs and RC high-pass filters. In this work, the frequency synchronization is achieved not only using oscillators alone but also through a configuration in which oscillators and resonator models (i.e., MEMS/NEMS resonators) are combined. While addressing the frequency synchronization of all the coupled oscillators, a partial synchronization is also discussed by controlling the coupling strength of a selected subset of oscillators. This frequency synchronization analysis focuses on the small-signal analysis using analog circuit and resonator models, thereby enabling an understanding of the synchronized frequency defined by the parameters of the analog circuit and resonator models.

发表机构

  • Columbia University(哥伦比亚大学)
  • California Institute of Technology(加州理工学院)
  • University of Florida(佛罗里达大学)

机构由 AI 辅助整理,请以论文原文为准。

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