{
  "abstract": "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.27765",
  "author_total": 6,
  "authors": [
    {
      "name": "Taeju Lee"
    },
    {
      "name": "Scott T. Habermehl"
    },
    {
      "name": "Timothy W. Caplice"
    },
    {
      "name": "Michael L. Roukes"
    },
    {
      "name": "Philip X. -L. Feng"
    },
    {
      "name": "Kenneth L. Shepard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5pnjjqb9csaf9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.27765",
  "fulltext_url": null,
  "id": "5pnjjqb9csaf9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.27765",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.app-ph"
    ],
    [
      "arxiv",
      "physics.ins-det"
    ],
    [
      "openalex",
      "1705|Nonlinear Dynamics and Pattern Formation"
    ]
  ],
  "openalex": "W7204765718",
  "pdf_url": "https://arxiv.org/pdf/2608.27765",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5pnjjqb9csaf9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.27765",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.27765"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    }
  ],
  "title": "Frequency Synchronization Circuit Model for Analog Vector-Matrix Multiplication in the Frequency Domain",
  "title_text": "Frequency Synchronization Circuit Model for Analog Vector-Matrix Multiplication in the Frequency Domain",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/5pnjjqb9csaf9",
  "venue": "arXiv",
  "versions": []
}