{
  "abstract": "Time-frequency (wavelet) domain analyses are seeing greater use for gravitational-wave data analysis due to the advantages they have in handling non-stationary noise. A popular choice is the Wilson-Daubechies-Meyer (WDM) wavelet transform, which uses a window function that is very compact in frequency, but more spread out in time. In this work, we consider an alternative window function that is built from a sum of phase-shifted Gaussians. This \"Gaussian\" window is more symmetric in time-frequency, and consequently more compact. We examine the properties of this window function and the implications it has for gravitational-wave analyses. We calculate the window's time-frequency variance product analytically and verify it numerically. For the symmetric case, where the window has the same form in time and frequency, the construction comes within $\\sim2.4\\%$ of saturating the Heisenberg-Gabor uncertainty limit. We conjecture that this Gaussian window achieves the minimum time-frequency area of any WD wavelet window.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05601",
  "author_total": 4,
  "authors": [
    {
      "name": "Noah Pearson"
    },
    {
      "name": "Mesut Çalışkan"
    },
    {
      "name": "Sophie Bini"
    },
    {
      "name": "Neil J. Cornish"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ea5gmv4802wrr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05601",
  "fulltext_url": null,
  "id": "ea5gmv4802wrr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05601",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "astro-ph.IM"
    ],
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "3103|Pulsars and Gravitational Waves Research"
    ]
  ],
  "openalex": "W7212070591",
  "pdf_url": "https://arxiv.org/pdf/2609.05601",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ea5gmv4802wrr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.05601",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05601"
    }
  ],
  "subjects": [
    {
      "field": "astronomy",
      "origin": "arxiv:astro-ph.IM",
      "subfield": "instrumentation-methods"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "A compact time-frequency representation for gravitational-wave data analysis",
  "title_text": "A compact time-frequency representation for gravitational-wave data analysis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/ea5gmv4802wrr",
  "venue": "arXiv",
  "versions": []
}