{
  "abstract": "We study the expected number of zeros of the Short-Time Fourier Transform (STFT) with a Gaussian window for signals degraded by complex Gaussian colored noise. We provide an exact formula for this quantity and investigate its asymptotic behavior. From a computational perspective, we propose an algorithmic method to recover a smoothed power spectral density (PSD) directly from the spatial distribution of the transform's zeros. Our results formalize the commonly-held heuristic that detection algorithms based on spectrogram zeros, though designed for white noise, also perform adequately under moderately colored noise.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18689",
  "author_total": 3,
  "authors": [
    {
      "name": "Luis Alberto Escudero"
    },
    {
      "name": "Günther Koliander"
    },
    {
      "name": "José Luis Romero"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/awsapkh96dmc3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18689",
  "fulltext_url": null,
  "id": "awsapkh96dmc3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18689",
  "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",
      "cs.IT"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.IT"
    ],
    [
      "arxiv",
      "math.PR"
    ],
    [
      "openalex",
      "2604|Mathematical Analysis and Transform Methods"
    ]
  ],
  "openalex": "W7213519949",
  "pdf_url": "https://arxiv.org/pdf/2609.18689",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/awsapkh96dmc3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.18689",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18689"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Zeros of the Spectrogram of Colored Noise",
  "title_text": "Zeros of the Spectrogram of Colored Noise",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/awsapkh96dmc3",
  "venue": "arXiv",
  "versions": []
}